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[null,null,null,null,null,807386475.11018872,null,null,null,null,null,null,null,null,20,{"$f":"bsq*O26+csq*O26^2","v":12.315370915767403},{"$f":"bsq2_*O26+csq_2*O26^2","v":12.507693580979376},{"$f":"bsquarte*O26+asquarte*O26^2","v":12.965087777935675},{"$f":"lsq*O26+2*msq*O26^2","v":12.965087777935675},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"b=",{"$f":"(GGG*ccc-iii*bbb)/(aaa*ccc-bbb^2)","v":0.67619047420759837},"=(GGG*ccc-iii*bbb)/(ccc*aaa-bbb^2)",null,null,null,"c*(aaa*bbb-ccc*ddd)=(eee*bbb-iii*ddd)"]
[null,null,null,"_",null,null,null,null,null,null,null,"on error press first semicircle",null,null,25,{"$f":"bsq*O27+csq*O27^2","v":15.313117855448398},{"$f":"bsq2_*O27+csq_2*O27^2","v":15.519979093590974},{"$f":"bsquarte*O27+asquarte*O27^2","v":16.031759189227003},{"$f":"lsq*O27+2*msq*O27^2","v":16.031759189227003},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"c=(eee*bbb-iii*ddd)/(aaa*bbb-ccc*ddd)",null,null,null,{"$f":"(EEE*bbb-iii*DDD)/(aaa*bbb-ccc*DDD)","v":-9.1710306106599835E-4}]
[null,null,null,null,null,null,null,null,null,null,null,"then rays of light",null,null,30,{"$f":"bsq*O28+csq*O28^2","v":18.278426479425054},{"$f":"bsq2_*O28+csq_2*O28^2","v":18.486409453149268},{"$f":"bsquarte*O28+asquarte*O28^2","v":19.028590387241294},{"$f":"lsq*O28+2*msq*O28^2","v":19.028590387241294},null,null,null,null,null,null,null,null,null,null,null,null,"CHEBYSHEV POLYNOMIALS"]
[null,null,null,null,null,null,null,null,null,null,null,"then parallle bundle",null,null,35,{"$f":"bsq*O29+csq*O29^2","v":21.211296787697368},{"$f":"bsq2_*O29+csq_2*O29^2","v":21.406984659654263},{"$f":"bsquarte*O29+asquarte*O29^2","v":21.95558137197855},{"$f":"lsq*O29+2*msq*O29^2","v":21.95558137197855},null,null,null,null,null,null,null,null,null,null,null,null,"C0","C1","C2"]
[null,null,null,null,null,null,null,null,null,null,null,"repeat if necessary",null,null,40,{"$f":"bsq*O30+csq*O30^2","v":24.111728780265338},{"$f":"bsq2_*O30+csq_2*O30^2","v":24.281704713105956},{"$f":"bsquarte*O30+asquarte*O30^2","v":24.812732143438765},{"$f":"lsq*O30+2*msq*O30^2","v":24.812732143438765},null,null,null,null,null,null,null,null,null,null,null,null,1,"X","2X^2-1"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,45,{"$f":"bsq*O31+csq*O31^2","v":26.979722457128972},{"$f":"bsq2_*O31+csq_2*O31^2","v":27.110569613504353},{"$f":"bsquarte*O31+asquarte*O31^2","v":27.600042701621945},{"$f":"lsq*O31+2*msq*O31^2","v":27.600042701621945},null,null,null,null,null,null,null,null,null,null,null,null,"K","L","M","Y=K+Lx+M(2x^2-1)=K-M+LX+2MX^2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,50,{"$f":"bsq*O32+csq*O32^2","v":29.815277818288255},{"$f":"bsq2_*O32+csq_2*O32^2","v":29.893579360849451},{"$f":"bsquarte*O32+asquarte*O32^2","v":30.317513046528092},{"$f":"lsq*O32+2*msq*O32^2","v":30.317513046528092},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Y(0)=0","K=M"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,55,{"$f":"bsq*O33+csq*O33^2","v":32.618394863743205},{"$f":"bsq2_*O33+csq_2*O33^2","v":32.630733955141245},{"$f":"bsquarte*O33+asquarte*O33^2","v":32.965143178157199},{"$f":"lsq*O33+2*msq*O33^2","v":32.965143178157199},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"(Y-Yi)^2=L^2X^2+4M^2X^4+Yi^2+4LMX^3-2LYiX-4MX^2Yi"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,60,{"$f":"bsq*O34+csq*O34^2","v":35.389073593493812},{"$f":"bsq2_*O34+csq_2*O34^2","v":35.322033396379737},{"$f":"bsquarte*O34+asquarte*O34^2","v":35.542933096509273},{"$f":"lsq*O34+2*msq*O34^2","v":35.542933096509273},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"DS/DL=2LX^2+4MX^3-2YiX=0"]
[null,null,"PTOLEMY'S DATA",null,null,null,null,null,null,null,null,null,null,null,65,{"$f":"bsq*O35+csq*O35^2","v":38.127314007540072},{"$f":"bsq2_*O35+csq_2*O35^2","v":37.967477684564933},{"$f":"bsquarte*O35+asquarte*O35^2","v":38.050882801584308},{"$f":"lsq*O35+2*msq*O35^2","v":38.050882801584308},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"DS/DM=8MX^4+4LX^3-4X^2Yi=0"]
[null,null,"water",null,null,"glass",null,null,null,null,null,null,null,null,70,{"$f":"bsq*O36+csq*O36^2","v":40.833116105881999},{"$f":"bsq2_*O36+csq_2*O36^2","v":40.567066819696826},{"$f":"bsquarte*O36+asquarte*O36^2","v":40.48899229338231},{"$f":"lsq*O36+2*msq*O36^2","v":40.48899229338231},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"AAA*L+2*bbb*M=GGG",null,null,"*ccc","*bbb"]
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[0,0,{"$f":"B39-B38","v":8},null,0,{"$f":"E39-E38","v":7},null,null,null,null,null,null,null,null,80,{"$f":"bsq*O38+csq*O38^2","v":46.147405355452818},{"$f":"bsq2_*O38+csq_2*O38^2","v":45.628679630800718},{"$f":"bsquarte*O38+asquarte*O38^2","v":45.155690637147195},{"$f":"lsq*O38+2*msq*O38^2","v":45.155690637147195},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"AAA*ccc*L+2*ccc*bbb*M=GGGccc"]
[10,8,{"$f":"B40-B39","v":7.5},{"$f":"C39-C38","v":-0.5},7,{"$f":"E40-E39","v":6.5},{"$f":"F39-F38","v":-0.5},null,null,null,null,null,null,null,null,null,"A_PTOLEMY",{"$f":"-0.0025","v":-2.5000000000000001E-3},"B_WATER",{"$f":"(B39-A_PTOLEMY*100)/10","v":0.82499999999999996},"B_GLASS",{"$f":"(E39-A_PTOLEMY*100)/10","v":0.72499999999999998},null,null,null,null,null,null,null,null,null,null,null,null,"bbb^2*L+2*ccc*bbb*M=III*bbb"]
[20,15.5,{"$f":"B41-B40","v":7},{"$f":"C40-C39","v":-0.5},13.5,{"$f":"E41-E40","v":6},{"$f":"F40-F39","v":-0.5},null,null,null,null,null,null,null,null,null,"x","PTOLEMY","WATER","GLASS",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"L=(GGG*ccc-iii*bbb)/(aaa*ccc-bbb^2)",null,null,null,{"$f":"(GGG*ccc-iii*bbb)/(aaa*ccc-bbb^2)","v":0.67619047420759837}]
[30,22.5,6.5,-0.5,19.5,5.5,-0.5,null,null,null,null,null,null,null,null,null,0,{"$f":"lsq*Q41+2*msq*Q41^2","v":0},{"$f":"A_PTOLEMY*Q41^2+B_GLASS*Q41","v":0},{"$f":"A_PTOLEMY*Q41^2+B_GLASS*Q41","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"aaa*bbb*L+2*bbb^2M=ggg*bbb"]
[40,29,6,-0.5,25,5,-0.5,null,null,null,null,null,null,null,null,null,{"$f":"Q41+10","v":10},{"$f":"lsq*Q42+2*msq*Q42^2","v":6.6222243155219109},{"$f":"A_PTOLEMY*Q42^2+B_WATER*Q42","v":8},{"$f":"A_PTOLEMY*Q42^2+B_GLASS*Q42","v":7},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"aaa*bbb*L+2*ccc*aaa*M=iii*aaa"]
[50,35,5.5,-0.5,30,4.5,-0.5,null,null,null,null,null,null,null,null,null,{"$f":"Q42+10","v":20},{"$f":"lsq*Q43+2*msq*Q43^2","v":12.965087777935675},{"$f":"A_PTOLEMY*Q43^2+B_WATER*Q43","v":15.5},{"$f":"A_PTOLEMY*Q43^2+B_GLASS*Q43","v":13.5},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"M=(ggg*bbb-iii*aaa)/2/(bbb^2-ccc*aaa)",null,null,null,{"$f":"(GGG*bbb-iii*aaa)/2/(bbb^2-ccc*aaa)","v":-6.9840213277036554E-4}]
[60,40.5,5,-0.5,34.5,4,-0.5,null,null,null,null,null,null,null,null,null,30,{"$f":"lsq*Q44+2*msq*Q44^2","v":19.028590387241294},{"$f":"A_PTOLEMY*Q44^2+B_WATER*Q44","v":22.5},{"$f":"A_PTOLEMY*Q44^2+B_GLASS*Q44","v":19.5},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"K=",{"$f":"AM43","v":-6.9840213277036554E-4}]
[70,45.5,4.5,-0.5,38.5,3.5,-0.5,null,null,null,null,null,null,null,null,null,40,{"$f":"lsq*Q45+2*msq*Q45^2","v":24.812732143438765},{"$f":"A_PTOLEMY*Q45^2+B_WATER*Q45","v":29},{"$f":"A_PTOLEMY*Q45^2+B_GLASS*Q45","v":25}]
[80,50,null,null,42,null,null,null,null,null,null,null,null,null,null,null,50,{"$f":"lsq*Q46+2*msq*Q46^2","v":30.317513046528092},{"$f":"A_PTOLEMY*Q46^2+B_WATER*Q46","v":35},{"$f":"A_PTOLEMY*Q46^2+B_GLASS*Q46","v":30}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,60,{"$f":"lsq*Q47+2*msq*Q47^2","v":35.542933096509273},{"$f":"A_PTOLEMY*Q47^2+B_WATER*Q47","v":40.5},{"$f":"A_PTOLEMY*Q47^2+B_GLASS*Q47","v":34.5}]
[null,null,null,null,null,null,null,null,"ANGLE_GRAPHS",null,null,null,null,null,null,null,70,{"$f":"lsq*Q48+2*msq*Q48^2","v":40.48899229338231},{"$f":"A_PTOLEMY*Q48^2+B_WATER*Q48","v":45.5},{"$f":"A_PTOLEMY*Q48^2+B_GLASS*Q48","v":38.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,80,{"$f":"lsq*Q49+2*msq*Q49^2","v":45.155690637147195},{"$f":"A_PTOLEMY*Q49^2+B_WATER*Q49","v":50},{"$f":"A_PTOLEMY*Q49^2+B_GLASS*Q49","v":42}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,90,{"$f":"lsq*Q50+2*msq*Q50^2","v":49.543028127803929},{"$f":"A_PTOLEMY*Q50^2+B_WATER*Q50","v":54},{"$f":"A_PTOLEMY*Q50^2+B_GLASS*Q50","v":45}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,100,{"$f":"lsq*Q51+2*msq*Q51^2","v":53.651004765352532},{"$f":"A_PTOLEMY*Q51^2+B_WATER*Q51","v":57.5},{"$f":"A_PTOLEMY*Q51^2+B_GLASS*Q51","v":47.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,110,{"$f":"lsq*Q52+2*msq*Q52^2","v":57.479620549792983},{"$f":"A_PTOLEMY*Q52^2+B_WATER*Q52","v":60.5},{"$f":"A_PTOLEMY*Q52^2+B_GLASS*Q52","v":49.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,120,{"$f":"lsq*Q53+2*msq*Q53^2","v":61.028875481125283},{"$f":"A_PTOLEMY*Q53^2+B_WATER*Q53","v":63},{"$f":"A_PTOLEMY*Q53^2+B_GLASS*Q53","v":51}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,130,{"$f":"lsq*Q54+2*msq*Q54^2","v":64.298769559349438},{"$f":"A_PTOLEMY*Q54^2+B_WATER*Q54","v":65},{"$f":"A_PTOLEMY*Q54^2+B_GLASS*Q54","v":52}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,140,{"$f":"lsq*Q55+2*msq*Q55^2","v":67.289302784465448},{"$f":"A_PTOLEMY*Q55^2+B_WATER*Q55","v":66.5},{"$f":"A_PTOLEMY*Q55^2+B_GLASS*Q55","v":52.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,150,{"$f":"lsq*Q56+2*msq*Q56^2","v":70.000475156473314},{"$f":"A_PTOLEMY*Q56^2+B_WATER*Q56","v":67.5},{"$f":"A_PTOLEMY*Q56^2+B_GLASS*Q56","v":52.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,160,{"$f":"lsq*Q57+2*msq*Q57^2","v":72.432286675373035},{"$f":"A_PTOLEMY*Q57^2+B_WATER*Q57","v":68},{"$f":"A_PTOLEMY*Q57^2+B_GLASS*Q57","v":52}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Q57+10","v":170},{"$f":"lsq*Q58+2*msq*Q58^2","v":74.584737341164583},{"$f":"A_PTOLEMY*Q58^2+B_WATER*Q58","v":68},{"$f":"A_PTOLEMY*Q58^2+B_GLASS*Q58","v":51}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,180,{"$f":"lsq*Q59+2*msq*Q59^2","v":76.457827153848015},{"$f":"A_PTOLEMY*Q59^2+B_WATER*Q59","v":67.5},{"$f":"A_PTOLEMY*Q59^2+B_GLASS*Q59","v":49.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,190,{"$f":"lsq*Q60+2*msq*Q60^2","v":78.051556113423317},{"$f":"A_PTOLEMY*Q60^2+B_WATER*Q60","v":66.5},{"$f":"A_PTOLEMY*Q60^2+B_GLASS*Q60","v":47.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,200,{"$f":"lsq*Q61+2*msq*Q61^2","v":79.365924219890445},{"$f":"A_PTOLEMY*Q61^2+B_WATER*Q61","v":65},{"$f":"A_PTOLEMY*Q61^2+B_GLASS*Q61","v":45}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,210,{"$f":"lsq*Q62+2*msq*Q62^2","v":80.400931473249429},{"$f":"A_PTOLEMY*Q62^2+B_WATER*Q62","v":63},{"$f":"A_PTOLEMY*Q62^2+B_GLASS*Q62","v":42}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,220,{"$f":"lsq*Q63+2*msq*Q63^2","v":81.156577873500268},{"$f":"A_PTOLEMY*Q63^2+B_WATER*Q63","v":60.5},{"$f":"A_PTOLEMY*Q63^2+B_GLASS*Q63","v":38.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,230,{"$f":"lsq*Q64+2*msq*Q64^2","v":81.632863420642963},{"$f":"A_PTOLEMY*Q64^2+B_WATER*Q64","v":57.5},{"$f":"A_PTOLEMY*Q64^2+B_GLASS*Q64","v":34.5}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,240,{"$f":"lsq*Q65+2*msq*Q65^2","v":81.829788114677513},{"$f":"A_PTOLEMY*Q65^2+B_WATER*Q65","v":54},{"$f":"A_PTOLEMY*Q65^2+B_GLASS*Q65","v":30}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,250,{"$f":"lsq*Q66+2*msq*Q66^2","v":81.747351955603904},{"$f":"A_PTOLEMY*Q66^2+B_WATER*Q66","v":50},{"$f":"A_PTOLEMY*Q66^2+B_GLASS*Q66","v":25}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,260,{"$f":"lsq*Q67+2*msq*Q67^2","v":81.385554943422164},{"$f":"A_PTOLEMY*Q67^2+B_WATER*Q67","v":45.5},{"$f":"A_PTOLEMY*Q67^2+B_GLASS*Q67","v":19.5}]
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[null,null,null,null,null,null,null,null,null,"XCTT",{"$f":"(O6-30)/10","v":2},null,null,null,50,null,null,null,null,null,null,{"$f":"AF6*COS(RADIANSGT)+AG6*SIN(RADIANSGT)+XCT","v":-204.57064935799863},{"$f":"-AF6*SIN(RADIANSGT)+AG6*COS(RADIANSGT)+YCT","v":-146.22859687212076},{"$f":"IF(L$4,V6,0)","v":-204.57064935799863},{"$f":"IF(L$4,W6,0)","v":-146.22859687212076},{"$f":"IF($L$5,AB10*COS(RADIANSGT)+AC10*SIN(RADIANSGT)+XCT,0)","v":-200},{"$f":"IF($L$5,-AB10*SIN(RADIANSGT)+AC10*COS(RADIANSGT)+YCT,0)","v":40.388378087952418},{"$f":"IF($L$5,-200-XCT,0)","v":-202},{"$f":"IF($L$5,AC5-(-200-AB5)*TAN(PI()/4-$T5),0)","v":40.488378087952412},null,null,-200,{"$f":"-200+a+miny","v":-155},"y=",{"$f":"(150-YCT)*SIN(AI4)","v":-12.513201675628094}]
[null,null,null,null,null,null,null,null,null,"YCTT",{"$f":"(O7-30)/10","v":-0.1},null,null,null,29,null,null,null,null,null,null,"R1",null,"measured angle for tangent",null,{"$f":"DEGREES(ABS(ASIN(((Z3-Z4)*(AA5-AA6)-(Z5-Z6)*(AA3-AA4))/(150*SQRT((Z5-Z6)^2+(AA5-AA6)^2)))))","v":25.220584962277869},null,{"$f":"AB3*COS(RADIANSGT)-AC3*SIN(RADIANSGT)","v":124.46644496096286},{"$f":"AB3*SIN(RADIANSGT)+AC3*COS(RADIANSGT)","v":-80.751479721038223}]
[null,null,null,null,null,null,null,null,null,"ANGLE_T",{"$f":"(O8-30)/10","v":2.5},null,null,"Second: ROTATION at angle g: ",55,null,null,null,null,null,null,{"$f":"SQRT((V3-V4)^2+(W3-W4)^2)","v":146.35830739115133},{"$f":"(V3-V4)*X10-(W3-W4)*X9","v":1852.8121507940184},{"$f":"ASIN(W8/(V8*V10))","v":8.5642737451656986E-2},{"$f":"DEGREES(X8)","v":4.9069674019269369},null,null,{"$f":"AB4*COS(RADIANSGT)-AC4*SIN(RADIANSGT)","v":-2.0024583819002491},{"$f":"AB4*SIN(RADIANSGT)+AC4*COS(RADIANSGT)","v":1.2666047427513788E-2}]
[null,null,null,null,null,null,null,null,null,"RADIANSGT",{"$f":"RADIANS(ANGLE_T)","v":4.3633231299858237E-2},"miny=",{"$f":"-a/2","v":-45},null,"X1=X-XCT  Y1=Y-YCT",null,null,null,null,null,null,"R2",null,{"$f":"150*COS(RADIANSGT)-XCT","v":147.85723323727868},"x_PERPENDICULAR",22.5,null,{"$f":"AB5*COS(RADIANSGT)-AC5*SIN(RADIANSGT)","v":-34.279651381314409},{"$f":"AB5*SIN(RADIANSGT)+AC5*COS(RADIANSGT)","v":9.794259418991814}]
[null,null,null,null,null,null,null,null,null,"show red rays",null,"the lower y=miny-a",null,null,null,null,"x11=x1cosg-y1sing  y11=x1sing+y1cosg",null,null,null,null,{"$f":"SQRT(X9^2+X10^2)","v":147.99754216009779},null,{"$f":"-150*SIN(RADIANSGT)-YCT","v":-6.4429081048004004},"y_PERPENDICULAR",null,null,{"$f":"AB6*COS(RADIANSGT)-AC6*SIN(RADIANSGT)","v":-203.57381900714785},{"$f":"AB6*SIN(RADIANSGT)+AC6*COS(RADIANSGT)","v":31.63872587570485}]
[null,null,null,null,null,null,null,null,null,true,null,"lowy=",{"$f":"-miny+a","v":135},null,null,null,null,null,null,null,null,"R11",{"$f":"SQRT(X11^2+Y11^2)","v":152},{"$f":"150+XCT","v":152},0]
[null,null,null,null,null,null,null,null,null,"Show radii of goniometric",null,"triangle",null,null,null,null,null,null,null,null,null,"R22",{"$f":"SQRT(X12^2+Y12^2)","v":151.99660729211089},{"$f":"(150)*COS(T4)+XCT","v":150.78827914397172},{"$f":"-(150)*SIN(T4)+YCT","v":-19.127558681437666}]
[null,null,null,null,"d",null,null,null,null,true,null,{"$f":"-a","v":-90},{"$f":"miny","v":-45},null,null,null,null,null,null,null,null,"R11XR22=",{"$f":"X11*Y12-Y11*X12","v":-2907.388919578525},"SIN",{"$f":"W13/(W12*W11)","v":-0.12584201070144838}]
[null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"miny","v":-45},null,null,null,null,null,null,null,null,null,null,"ASIN",{"$f":"ASIN(Y13)","v":-0.12617654366150932},{"$f":"Y14+T4","v":1.0165267875742734E-3}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"0","v":0},{"$f":"miny+a","v":45},null,null,null,null,null,null,null,null,null,null,"DEGREES",{"$f":"DEGREES(Y14)","v":-7.2293834253526432}]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"-a","v":-90},{"$f":"miny","v":-45}]
[null,null,null,null,null,null,null,null,null,"triangle",null,"in lab frame",null,null,{"$f":"\" least square fit n = \"&TEXT(AN36,\"0,00\")","v":" least square fit n = 1,37"}]
[null,null,null,null,null,null,null,null,null,{"$f":"-XCT","v":-2},{"$f":"-YCT","v":0.1},{"$f":"J18*COS(RADIANSGT)+K18*SIN(RADIANSGT)","v":-1.9937345044271819},{"$f":"-J18*SIN(RADIANSGT)+K18*COS(RADIANSGT)","v":0.18714359688885779}]
[null,null,null,null,null,null,null,null,null,{"$f":"L13-XCT","v":-92},{"$f":"M13-YCT","v":-44.9},{"$f":"J19*COS(RADIANSGT)+K19*SIN(RADIANSGT)","v":-93.870946878234506},{"$f":"-J19*SIN(RADIANSGT)+K19*COS(RADIANSGT)","v":-40.844281511414508}]
[null,null,null,null,null,null,null,null,null,{"$f":"L14-XCT","v":-2},{"$f":"M14-YCT","v":-44.9},{"$f":"J20*COS(RADIANSGT)+K20*SIN(RADIANSGT)","v":-3.9566069358673017},{"$f":"-J20*SIN(RADIANSGT)+K20*COS(RADIANSGT)","v":-44.770026374294744}]
[null,null,null,null,null,null,null,null,null,{"$f":"L15-XCT","v":-2},{"$f":"M15-YCT","v":45.1},{"$f":"J21*COS(RADIANSGT)+K21*SIN(RADIANSGT)","v":-3.0862072987061895E-2},{"$f":"-J21*SIN(RADIANSGT)+K21*COS(RADIANSGT)","v":45.144313568072462}]
[null,null,null,null,null,null,null,null,null,{"$f":"L16-XCT","v":-92},{"$f":"M16-YCT","v":-44.9},{"$f":"J22*COS(RADIANSGT)+K22*SIN(RADIANSGT)","v":-93.870946878234506},{"$f":"-J22*SIN(RADIANSGT)+K22*COS(RADIANSGT)","v":-40.844281511414508}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"POINTS AT DIAGONAL SHOWING ANGLE OF REFRACTION"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"ANGLE",null,null,"refraction angle",null,null,"measured",null,null,null,"sin(incidence)","sin(refraction)",null,null,null,null,null,null,null,null,null,"x","x^2","x^3","x^4","Y","XY","yx^2","WITH MEASURED INDEX OF REFRACTION"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"L27+10","v":10},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"IF(L47,L40,\"\")","v":""},{"$f":"IF(LR7,M40,\"\")","v":""},{"$f":"IF(L47,ATAN(AF25/AE25),\"\")","v":""},{"$f":"IF(M47,SIN(RADIANS(AD25))/SIN(AG25),\"\")","v":""},{"$f":"IF(AH25<>\"\",ABS(AH25),\"\")","v":""},{"$f":"IF(I45,ABS(DEGREES(AH25)),\"\")","v":""},0,{"$f":"AD25-ANGLE_T","v":-2.5},null,{"$f":"IF(AD25>-1000,SIN(ABS(RADIANS(AD25))),0)","v":0},0,null,null,null,null,null,null,null,null,null,{"$f":"AD25","v":0},{"$f":"AY25^2","v":0},{"$f":"AY25^3","v":0},{"$f":"AY25^4","v":0},0,{"$f":"AY25*BC25","v":0},{"$f":"BC25*AZ25","v":0},{"$f":"DEGREES(ASIN(SIN(RADIANS(AY25))/$AN$36))","v":0}]
[null,null,null,null,null,null,null,null,null,"XCT",{"$f":"XCT","v":2},null,null,{"$f":"(150)*COS(RADIANS(-N25))-XCT","v":145.72116295183119},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AD25+10","v":10},{"$f":"IF(N45,N38,-1000)","v":-39.14343913840468},{"$f":"IF(O47,O40,-1000)","v":5.3575128828268745},{"$f":"IF(O47,ATAN(AF26/AE26),\"\")","v":-0.13602355528595428},{"$f":"IF(O48,SIN(RADIANS(AD26))/SIN(AG26),\"\")","v":-1.2805489487384656},{"$f":"IF(AH26<>\"\",ABS(AH26),\"\")","v":1.2805489487384656},{"$f":"IF(O$47,ABS(DEGREES(AG26)),\"\")","v":7.7935756322495999},{"$f":"DEGREES(ASIN(SIN(RADIANS(AD26))/nn))","v":6.6477770928286137},7.5,{"$f":"AK26-ANGLE_T","v":4.1477770928286137},0.17364817766693033,{"$f":"IF(AF26>-1000,SIN(ABS((ABS(AG26)))),0)","v":0.13560448262286268},null,null,null,null,null,null,null,null,null,{"$f":"AD26","v":10},{"$f":"AY26^2","v":100},{"$f":"AY26^3","v":1000},{"$f":"AY26^4","v":10000},{"$f":"AJ26","v":7.7935756322495999},{"$f":"AY26*BC26","v":77.935756322496005},{"$f":"BC26*AZ26","v":779.35756322496002},{"$f":"DEGREES(ASIN(SIN(RADIANS(AY26))/$AN$36))","v":7.2830395846894529}]
[null,null,null,null,null,null,null,null,null,"YCT",{"$f":"YCT","v":-0.1},0,{"$f":"L27","v":0},0,{"$f":"N25","v":10},{"$f":"N25+10","v":20},{"$f":"P27","v":20},{"$f":"P27+10","v":30},{"$f":"R27","v":30},{"$f":"R27+10","v":40},{"$f":"T27","v":40},{"$f":"T27+10","v":50},{"$f":"V27","v":50},{"$f":"V27+10","v":60},{"$f":"X27","v":60},{"$f":"X27+10","v":70},{"$f":"Z27","v":70},{"$f":"Z27+10","v":80},{"$f":"AB27","v":80},{"$f":"AD26+10","v":20},{"$f":"IF(P47,P40,-1000)","v":-34.90012613702477},{"$f":"IF(Q47,Q40,-1000)","v":9.2457928671047203},{"$f":"IF(P47,ATAN(AF27/AE27),\"\")","v":-0.2589723559233284},{"$f":"IF(P47,SIN(RADIANS(AD27))/SIN(AG27),\"\")","v":-1.3355606784109206},{"$f":"IF(AH27<>\"\",ABS(AH27),\"\")","v":1.3355606784109206},{"$f":"IF(O48,ABS(DEGREES(AG27)),\"\")","v":14.838023004966503},13.180142161400394,17.5,10.680142161400394,0.34202014332566871,{"$f":"IF(AF27>-1000,SIN(ABS((ABS(AG27)))),0)","v":0.25608731138491719},null,null,null,null,null,null,null,null,null,20,400,8000,160000,14.838023004966503,296.76046009933009,5935.2092019866013,14.459174802510587]
[null,null,null,null,null,null,null,null,null,"h",{"$f":"h","v":2.5},{"$f":"(150)*COS(RADIANS(-L27))-XCT","v":148},{"$f":"(150)*SIN(RADIANS(-M27))-YCT","v":0.1},{"$f":"(miny+a)/(TAN(N$42)-1)-XCT","v":-43.342333069471934},{"$f":"(150)*SIN(RADIANS(-O27))-YCT","v":-25.94722665003955},{"$f":"(150)*COS(RADIANS(-P27))-XCT","v":138.95389311788625},{"$f":"(150)*SIN(RADIANS(-Q27))-YCT","v":-51.203021498850305},{"$f":"(150)*COS(RADIANS(-R27))-XCT","v":127.9038105676658},{"$f":"(150)*SIN(RADIANS(-S27))-YCT","v":-74.899999999999991},{"$f":"(150)*COS(RADIANS(-T27))-XCT","v":112.9066664678467},{"$f":"(150)*SIN(RADIANS(-U27))-YCT","v":-96.318141452980896},{"$f":"(150)*COS(RADIANS(-V27))-XCT","v":94.418141452980905},{"$f":"(150)*SIN(RADIANS(-W27))-YCT","v":-114.80666646784671},{"$f":"(150)*COS(RADIANS(-X27))-XCT","v":73.000000000000014},{"$f":"(150)*SIN(RADIANS(-Y27))-YCT","v":-129.80381056766581},{"$f":"(150)*COS(RADIANS(-Z27))-XCT","v":49.30302149885032},{"$f":"(150)*SIN(RADIANS(-AA27))-YCT","v":-140.85389311788626},{"$f":"(150)*COS(RADIANS(-AB27))-XCT","v":24.047226650039562},{"$f":"(150)*SIN(RADIANS(-AC27))-YCT","v":-147.6211629518312},30,{"$f":"IF(R47,R40,-1000)","v":-31.374456188712095},{"$f":"IF(S47,S40,-1000)","v":12.476474150040026},{"$f":"IF(R48,ATAN(AF28/AE28),\"\")","v":-0.3784904790314117},{"$f":"IF(R47,SIN(RADIANS(AD28))/SIN(AG28),\"\")","v":-1.3531132928110203},1.3531132928110203,{"$f":"IF(P47,ABS(DEGREES(AG28)),\"\")","v":21.685907034384673},19.471220634490692,27.5,16.971220634490692,0.49999999999999994,0.36951820860563478,null,null,null,null,null,null,null,null,null,30,900,27000,810000,21.685907034384673,650.57721103154017,19517.316330946207,21.408968010125005]
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{"sheet":"deviation angle","index":14,"n_rows":96,"n_cols":22,"rows_kept":96,"cut":false,"hidden":false,"merged":[]}
["To change index of refraction ",null,null,null,null,null,"CALCULATIONS"]
["goto CALC_POINT",null,null,null,null,null,"Angle of prisme",null,{"$f":"\"Deviation Angle for A = \"&gon_prisma&\" n = \"&nn","v":"Deviation Angle for A = 45 n = 1,5"},null,null,"ε= θ4+θ1-Α  ","θ4=asin(n·sin(A-θ2)","dθ4/dθ1– cos(A-θ2)· cos(θ1)/ ( cosθ2· cosθ4)"]
["Deviation angle for prism",null,null,{"$f":"nn","v":1.5},"index of refraction",null,45,null,null,null,null,"I find the derivative",null,"1 όπου δεν έχω"]
[null,"θ1 in radians","sin(θ)/n","θ2 in radiansrad","θ2 σε °","Α-θ2","n*sin(Α-θ2)","θ4=asin(n·sin(A-θ2)","=cos(A-θ2)cos(θ1)","1/(cosθ2 cosθ4)","παράγωγος",null,null,"derivatie",null,"θ1+θ4-A"]
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["Calculstion of max angle",null,null,null,"Second: ROTATION at angle g: ",null,null,null,null,null,null,"RADIUS AT POINT 2",null,"gonia_2",{"$f":"-O6+ABS(O7)","v":-1.0883419684731732},{"$f":"RADIUS_OF_SEMICIRCLE*COS(O9)","v":34.796608940745209},{"$f":"RADIUS_OF_SEMICIRCLE*SIN(O9)","v":-66.439416058728654},{"$f":"-ATAN(Q9/P9)","v":1.0883419684731732},null,null,null,null,null,null,null,"X=(-K*(Y11-X11*K)+SQRT(R^2*(1+K^2)-(Y11-X11*K)^2))/(1+K^)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"CUT OF CIRCLE",{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(BG8-TAN(KLISI_PAR)*BF8)^2","v":1751.7519834702452},{"$f":"BF9","v":1751.7519834702452},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(BI8-TAN(KLISI_PAR)*BH8)^2","v":2740.1714061531634},{"$f":"BH9","v":2740.1714061531634},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(BK8-TAN(KLISI_PAR)*BJ8)^2","v":3585.9066511317687},{"$f":"BJ9","v":3585.9066511317687},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(BM8-TAN(KLISI_PAR)*BL8)^2","v":4288.9577184060608},{"$f":"BL9","v":4288.9577184060608},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(BO8-TAN(KLISI_PAR)*BN8)^2","v":4849.324607976042},{"$f":"BN9","v":4849.324607976042},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(BQ8-TAN(KLISI_PAR)*BP8)^2","v":5267.0073198417103},{"$f":"BP9","v":5267.0073198417103},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(BS8-TAN(KLISI_PAR)*BR8)^2","v":5542.005854003065},{"$f":"BR9","v":5542.005854003065},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(BU8-TAN(KLISI_PAR)*BT8)^2","v":5674.3202104601078},{"$f":"BT9","v":5674.3202104601078},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(BW8-TAN(KLISI_PAR)*BV8)^2","v":5663.9503892128387},{"$f":"BV9","v":5663.9503892128387},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(BY8-TAN(KLISI_PAR)*BX8)^2","v":5510.8963902612568},{"$f":"BX9","v":5510.8963902612568},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(CA8-TAN(KLISI_PAR)*BZ8)^2","v":5215.1582136053621},{"$f":"BZ9","v":5215.1582136053621},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(CC8-TAN(KLISI_PAR)*CB8)^2","v":4776.7358592451546},{"$f":"CB9","v":4776.7358592451546},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(CE8-TAN(KLISI_PAR)*CD8)^2","v":4195.6293271806353},{"$f":"CD9","v":4195.6293271806353},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(CG8-TAN(KLISI_PAR)*CF8)^2","v":3471.8386174118041},{"$f":"CF9","v":3471.8386174118041},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(CI8-TAN(KLISI_PAR)*CH8)^2","v":2605.3637299386583},{"$f":"CH9","v":2605.3637299386583},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+TAN(KLISI_PAR)^2)-(CK8-TAN(KLISI_PAR)*CJ8)^2","v":1596.2046647612015},{"$f":"CJ9","v":1596.2046647612015}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"anoigma",{"$f":"GONIA_1-GONIA_2","v":2.3793746242686726},null,null,null,null,null,null,null,null,null,null,{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+Z6^2)-(YSR-XSR*Z6)^2","v":2673.1741326825559},2673.1741326825559,3656.0875265556992,3656.0875265556992,4418.4528687201928,4418.4528687201928,4986.1046465529071,4986.1046465529071,5378.8461891195348,5378.8461891195348,5611.5630338954516,5611.5630338954516,5695.0260353047452,5695.0260353047452,5636.4581485669987,5636.4581485669987,5439.9146197073333,5439.9146197073333,5106.5088673498558,5106.5088673498558,4634.5030840903119,4634.5030840903119,4019.2717269549471,4019.2717269549471,3253.1362507572844,3253.1362507572844,2325.0594935242425,2325.0594935242425,1220.1768623840553,null,null,"X2,Y2",{"$f":"IF(BG8+TAN(KLISI_PAR)*(0-BF8)>RADIUS_OF_SEMICIRCLE,IF(BF9>0,(-TAN(KLISI_PAR)*(BG8-TAN(KLISI_PAR)*BF8)+SQRT(BF9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"BG8+TAN(KLISI_PAR)*(BF10-BF8)","v":62.734326018486435},{"$f":"IF(BI8+TAN(KLISI_PAR)*(0-BH8)>RADIUS_OF_SEMICIRCLE,IF(BH9>0,(-TAN(KLISI_PAR)*(BI8-TAN(KLISI_PAR)*BH8)+SQRT(BH9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"BI8+TAN(KLISI_PAR)*(BH10-BH8)","v":54.287901399030204},{"$f":"IF(BK8+TAN(KLISI_PAR)*(0-BJ8)>RADIUS_OF_SEMICIRCLE,IF(BJ9>0,(-TAN(KLISI_PAR)*(BK8-TAN(KLISI_PAR)*BJ8)+SQRT(BJ9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"BK8+TAN(KLISI_PAR)*(BJ10-BJ8)","v":45.841476779573981},{"$f":"IF(BM8+TAN(KLISI_PAR)*(0-BL8)>RADIUS_OF_SEMICIRCLE,IF(BL9>0,(-TAN(KLISI_PAR)*(BM8-TAN(KLISI_PAR)*BL8)+SQRT(BL9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"BM8+TAN(KLISI_PAR)*(BL10-BL8)","v":37.395052160117764},{"$f":"IF(BO8+TAN(KLISI_PAR)*(0-BN8)>RADIUS_OF_SEMICIRCLE,IF(BN9>0,(-TAN(KLISI_PAR)*(BO8-TAN(KLISI_PAR)*BN8)+SQRT(BN9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"BO8+TAN(KLISI_PAR)*(BN10-BN8)","v":28.948627540661533},{"$f":"IF(BQ8+TAN(KLISI_PAR)*(0-BP8)>RADIUS_OF_SEMICIRCLE,IF(BP9>0,(-TAN(KLISI_PAR)*(BQ8-TAN(KLISI_PAR)*BP8)+SQRT(BP9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"BQ8+TAN(KLISI_PAR)*(BP10-BP8)","v":20.502202921205296},{"$f":"IF(BS8+TAN(KLISI_PAR)*(0-BR8)>RADIUS_OF_SEMICIRCLE,IF(BR9>0,(-TAN(KLISI_PAR)*(BS8-TAN(KLISI_PAR)*BR8)+SQRT(BR9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"BS8+TAN(KLISI_PAR)*(BR10-BR8)","v":12.055778301749079},{"$f":"IF(BU8+TAN(KLISI_PAR)*(0-BT8)>RADIUS_OF_SEMICIRCLE,IF(BT9>0,(-TAN(KLISI_PAR)*(BU8-TAN(KLISI_PAR)*BT8)+SQRT(BT9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"BU8+TAN(KLISI_PAR)*(BT10-BT8)","v":3.6093536822928591},{"$f":"IF(BW8+TAN(KLISI_PAR)*(0-BV8)>RADIUS_OF_SEMICIRCLE,IF(BV9>0,(-TAN(KLISI_PAR)*(BW8-TAN(KLISI_PAR)*BV8)+SQRT(BV9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"BW8+TAN(KLISI_PAR)*(BV10-BV8)","v":-4.8370709371633716},{"$f":"IF(BY8+TAN(KLISI_PAR)*(0-BX8)>RADIUS_OF_SEMICIRCLE,IF(BX9>0,(-TAN(KLISI_PAR)*(BY8-TAN(KLISI_PAR)*BX8)+SQRT(BX9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"BY8+TAN(KLISI_PAR)*(BX10-BX8)","v":-13.283495556619599},{"$f":"IF(CA8+TAN(KLISI_PAR)*(0-BZ8)>RADIUS_OF_SEMICIRCLE,IF(BZ9>0,(-TAN(KLISI_PAR)*(CA8-TAN(KLISI_PAR)*BZ8)+SQRT(BZ9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"CA8+TAN(KLISI_PAR)*(BZ10-BZ8)","v":-21.729920176075829},{"$f":"IF(CC8+TAN(KLISI_PAR)*(0-CB8)>RADIUS_OF_SEMICIRCLE,IF(CB9>0,(-TAN(KLISI_PAR)*(CC8-TAN(KLISI_PAR)*CB8)+SQRT(CB9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"CC8+TAN(KLISI_PAR)*(CB10-CB8)","v":-30.176344795532057},{"$f":"IF(CE8+TAN(KLISI_PAR)*(0-CD8)>RADIUS_OF_SEMICIRCLE,IF(CD9>0,(-TAN(KLISI_PAR)*(CE8-TAN(KLISI_PAR)*CD8)+SQRT(CD9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"CE8+TAN(KLISI_PAR)*(CD10-CD8)","v":-38.622769414988269},{"$f":"IF(CG8+TAN(KLISI_PAR)*(0-CF8)>RADIUS_OF_SEMICIRCLE,IF(CF9>0,(-TAN(KLISI_PAR)*(CG8-TAN(KLISI_PAR)*CF8)+SQRT(CF9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"CG8+TAN(KLISI_PAR)*(CF10-CF8)","v":-47.069194034444493},{"$f":"IF(CI8+TAN(KLISI_PAR)*(0-CH8)>RADIUS_OF_SEMICIRCLE,IF(CH9>0,(-TAN(KLISI_PAR)*(CI8-TAN(KLISI_PAR)*CH8)+SQRT(CH9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"CI8+TAN(KLISI_PAR)*(CH10-CH8)","v":-55.515618653900731},{"$f":"IF(CK8+TAN(KLISI_PAR)*(0-CJ8)>RADIUS_OF_SEMICIRCLE,IF(CJ9>0,(-TAN(KLISI_PAR)*(CK8-TAN(KLISI_PAR)*CJ8)+SQRT(CJ9))/(1+TAN(KLISI_PAR)^2),0),0)","v":0},{"$f":"CK8+TAN(KLISI_PAR)*(CJ10-CJ8)","v":-63.962043273356954}]
["We transforn to a reference frame",null,null,null,"x11=x1cosg-y1singy11=x1sing+y1cosg",null,null,null,null,null,null,null,null,"DGON",{"$f":"(2*A_GONIA)/15","v":5.081453528807469E-2},{"$f":"2*A_GONIA/15","v":5.081453528807469E-2},null,null,null,"incidence",null,null,null,null,"X2,Y2",{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+Z6^2)-(YSR-XSR*Z6)^2>0,(-Z6*(YSR-XSR*Z6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+Z6^2)-(YSR-XSR*Z6)^2))/(1+Z6^2),XSR)","v":67.11842247206053},{"$f":"IF(Z11<>X_SOURCE,YSR+AA6*(Z11-XSR),YSR)","v":-33.468154488438714},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AB6^2)-(YSR-XSR*AB6)^2>0,(-AB6*(YSR-XSR*AB6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AB6^2)-(YSR-XSR*AB6)^2))/(1+AB6^2),XSR)","v":70.599669823698704},{"$f":"IF(AB11<>X_SOURCE,YSR+AC6*(AB11-XSR),YSR)","v":-25.311788178331582},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AD6^2)-(YSR-XSR*AD6)^2>0,(-AD6*(YSR-XSR*AD6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AD6^2)-(YSR-XSR*AD6)^2))/(1+AD6^2),XSR)","v":72.735990375322899},{"$f":"IF(AD11<>X_SOURCE,YSR+AE6*(AD11-XSR),YSR)","v":-18.288676937409484},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AF6^2)-(YSR-XSR*AF6)^2>0,(-AF6*(YSR-XSR*AF6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AF6^2)-(YSR-XSR*AF6)^2))/(1+AF6^2),XSR)","v":74.040554924033387},{"$f":"IF(AF11<>X_SOURCE,YSR+AG6*(AF11-XSR),YSR)","v":-11.958102965821784},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AH6^2)-(YSR-XSR*AH6)^2>0,(-AH6*(YSR-XSR*AH6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AH6^2)-(YSR-XSR*AH6)^2))/(1+AH6^2),XSR)","v":74.753328191025332},{"$f":"IF(AH11<>X_SOURCE,YSR+AI6*(AH11-XSR),YSR)","v":-6.0778223373885432},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AJ6^2)-(YSR-XSR*AJ6)^2>0,(-AJ6*(YSR-XSR*AJ6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AJ6^2)-(YSR-XSR*AJ6)^2))/(1+AJ6^2),XSR)","v":74.99839585042686},{"$f":"IF(AJ11<>X_SOURCE,YSR+AK6*(AJ11-XSR),YSR)","v":-0.49053018528447012},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AL6^2)-(YSR-XSR*AL6)^2>0,(-AL6*(YSR-XSR*AL6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AL6^2)-(YSR-XSR*AL6)^2))/(1+AL6^2),XSR)","v":74.838490433572332},{"$f":"IF(AL11<>X_SOURCE,YSR+AM6*(AL11-XSR),YSR)","v":4.9193850859739854},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AN6^2)-(YSR-XSR*AN6)^2>0,(-AN6*(YSR-XSR*AN6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AN6^2)-(YSR-XSR*AN6)^2))/(1+AN6^2),XSR)","v":74.296732375415118},{"$f":"IF(AN11<>X_SOURCE,YSR+AO6*(AN11-XSR),YSR)","v":10.246734032653649},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AP6^2)-(YSR-XSR*AP6)^2>0,(-AP6*(YSR-XSR*AP6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AP6^2)-(YSR-XSR*AP6)^2))/(1+AP6^2),XSR)","v":73.364317713786292},{"$f":"IF(AP11<>X_SOURCE,YSR+AQ6*(AP11-XSR),YSR)","v":15.57808994680104},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AR6^2)-(YSR-XSR*AR6)^2>0,(-AR6*(YSR-XSR*AR6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AR6^2)-(YSR-XSR*AR6)^2))/(1+AR6^2),XSR)","v":71.999513422609851},{"$f":"IF(AR11<>X_SOURCE,YSR+AS6*(AR11-XSR),YSR)","v":21.001668193441795},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AT6^2)-(YSR-XSR*AT6)^2>0,(-AT6*(YSR-XSR*AT6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AT6^2)-(YSR-XSR*AT6)^2))/(1+AT6^2),XSR)","v":70.11759793254943},{"$f":"IF(AT11<>X_SOURCE,YSR+AU6*(AT11-XSR),YSR)","v":26.618085208544585},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AV6^2)-(YSR-XSR*AV6)^2>0,(-AV6*(YSR-XSR*AV6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AV6^2)-(YSR-XSR*AV6)^2))/(1+AV6^2),XSR)","v":67.565359432397685},{"$f":"IF(AV11<>X_SOURCE,YSR+AW6*(AV11-XSR),YSR)","v":32.556446439544175},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AX6^2)-(YSR-XSR*AX6)^2>0,(-AX6*(YSR-XSR*AX6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AX6^2)-(YSR-XSR*AX6)^2))/(1+AX6^2),XSR)","v":64.058980571338026},{"$f":"IF(AX11<>X_SOURCE,YSR+AY6*(AX11-XSR),YSR)","v":39.005730452856994},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+AZ6^2)-(YSR-XSR*AZ6)^2>0,(-AZ6*(YSR-XSR*AZ6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+AZ6^2)-(YSR-XSR*AZ6)^2))/(1+AZ6^2),XSR)","v":59.007076953654384},{"$f":"IF(AZ11<>X_SOURCE,YSR+BA6*(AZ11-XSR),YSR)","v":46.29432869569996},{"$f":"IF(RADIUS_OF_SEMICIRCLE^2*(1+BB6^2)-(YSR-XSR*BB6)^2>0,(-BB6*(YSR-XSR*BB6)+SQRT(RADIUS_OF_SEMICIRCLE^2*(1+BB6^2)-(YSR-XSR*BB6)^2))/(1+BB6^2),XSR)","v":50.786500021584821},{"$f":"IF(BB11<>X_SOURCE,YSR+BC6*(BB11-XSR),YSR)","v":55.188145607164266},"in or out of circle","true =in",null,{"$f":"IF(ABS(BG10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(BI10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(BK10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(BM10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(BO10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(BQ10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(BS10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(BU10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(BW10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(BY10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(CA10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(CC10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(CE10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(CG10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(CI10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true},null,{"$f":"IF(ABS(CK10)<RADIUS_OF_SEMICIRCLE,TRUE,FALSE)","v":true}]
["where the center of the cirlce is at 0,0",null,null,null,"x11",{"$f":"B16*COS(radiansg)-B18*SIN(radiansg)","v":179.30202073410928},null,null,null,null,"KLISI_F = -(A_GONIA - dgon * I - omeGA)",null,null,null,null,null,null,null,null,"in degrees",null,null,null,null,"INCID = Atn(ykyklos / xkyklos) - agoN(I)",{"$f":"ATAN(AA11/Z11)-Z5","v":-0.89420151674143533},{"$f":"Z12","v":-0.89420151674143533},{"$f":"ATAN(AC11/AB11)-AB5","v":-0.7250750045690153},{"$f":"AB12","v":-0.7250750045690153},{"$f":"ATAN(AE11/AD11)-AD5","v":-0.57634346773270373},{"$f":"AD12","v":-0.57634346773270373},{"$f":"ATAN(AG11/AF11)-AF5","v":-0.43932097821046406},{"$f":"AF12","v":-0.43932097821046406},{"$f":"ATAN(AI11/AH11)-AH5","v":-0.30950827319899832},{"$f":"AH12","v":-0.30950827319899832},{"$f":"ATAN(AK11/AJ11)-AJ5","v":-0.18410759569428406},{"$f":"AJ12","v":-0.18410759569428406},{"$f":"ATAN(AM11/AL11)-AL5","v":-6.1113686438682605E-2},{"$f":"AL12","v":-6.1113686438682605E-2},{"$f":"ATAN(AO11/AN11)-AN5","v":6.1113686438682674E-2},{"$f":"AN12","v":6.1113686438682674E-2},{"$f":"ATAN(AQ11/AP11)-AP5","v":0.18410759569428392},{"$f":"AP12","v":0.18410759569428392},{"$f":"ATAN(AS11/AR11)-AR5","v":0.30950827319899837},{"$f":"AR12","v":0.30950827319899837},{"$f":"ATAN(AU11/AT11)-AT5","v":0.43932097821046401},{"$f":"AT12","v":0.43932097821046401},{"$f":"ATAN(AW11/AV11)-AV5","v":0.57634346773270351},{"$f":"AV12","v":0.57634346773270351},{"$f":"ATAN(AY11/AX11)-AX5","v":0.7250750045690153},{"$f":"AX12","v":0.7250750045690153},{"$f":"ATAN(BA11/AZ11)-AZ5","v":0.89420151674143544},{"$f":"AZ12","v":0.89420151674143544},{"$f":"ATAN(BC11/BB11)-BB5","v":1.106672867661685},{"$f":"BB12","v":1.106672867661685},null,null,null,{"$f":"IF(BF12<>0,BG8+TAN(radiansg+ANGLE_p_R)*(BF12-BF8),BF8+(0-BF8)*TAN(radiansg+ANGLE_p_R))","v":172.6343528579271},null,{"$f":"IF(BH12<>0,BI8+TAN(radiansg+ANGLE_p_R)*(BH12-BH8),BH8+(0-BH8)*TAN(radiansg+ANGLE_p_R))","v":173.42125590891405},null,{"$f":"IF(BJ12<>0,BK8+TAN(radiansg+ANGLE_p_R)*(BJ12-BJ8),BJ8+(0-BJ8)*TAN(radiansg+ANGLE_p_R))","v":174.20815895990097},null,{"$f":"IF(BL12<>0,BM8+TAN(radiansg+ANGLE_p_R)*(BL12-BL8),BL8+(0-BL8)*TAN(radiansg+ANGLE_p_R))","v":174.99506201088789},null,{"$f":"IF(BN12<>0,BO8+TAN(radiansg+ANGLE_p_R)*(BN12-BN8),BN8+(0-BN8)*TAN(radiansg+ANGLE_p_R))","v":175.78196506187481},null,{"$f":"IF(BP12<>0,BQ8+TAN(radiansg+ANGLE_p_R)*(BP12-BP8),BQ8+(0-BP8)*TAN(radiansg+ANGLE_p_R))","v":20.502202921205296},null,{"$f":"IF(BR10<>0,BS8+TAN(radiansg+ANGLE_p_R)*(BR12-BR8),BS8+(0-BR8)*TAN(radiansg+ANGLE_p_R))","v":12.055778301749079},null,{"$f":"IF(BT10<>0,BU8+TAN(radiansg+ANGLE_p_R)*(BT12-BT8),BU8+(0-BT8)*TAN(radiansg+ANGLE_p_R))","v":3.6093536822928591},null,{"$f":"IF(BV10<>0,BW8+TAN(radiansg+ANGLE_p_R)*(BV12-BV8),BW8+(0-BV8)*TAN(radiansg+ANGLE_p_R))","v":-4.8370709371633716},null,{"$f":"IF(BX10<>0,BY8+TAN(radiansg+ANGLE_p_R)*(BX12-BX8),BY8+(0-BX8)*TAN(radiansg+ANGLE_p_R))","v":-13.283495556619599},null,{"$f":"IF(BZ10<>0,CA8+TAN(radiansg+ANGLE_p_R)*(BZ12-BZ8),CA8+(0-BZ8)*TAN(radiansg+ANGLE_p_R))","v":-21.729920176075829},null,{"$f":"IF(CB10<>0,CC8+TAN(radiansg+ANGLE_p_R)*(CB12-CB8),CC8+(0-CB8)*TAN(radiansg+ANGLE_p_R))","v":-30.176344795532057},null,{"$f":"IF(CD10<>0,CE8+TAN(radiansg+ANGLE_p_R)*(CD12-CD8),CE8+(0-CD8)*TAN(radiansg+ANGLE_p_R))","v":-38.622769414988269},null,{"$f":"IF(CF10<>0,CG8+TAN(radiansg+ANGLE_p_R)*(CF12-CF8),CG8+(0-CF8)*TAN(radiansg+ANGLE_p_R))","v":-47.069194034444493},null,{"$f":"IF(CH10<>0,CI8+TAN(radiansg+ANGLE_p_R)*(CH12-CH8),CI8+(0-CH8)*TAN(radiansg+ANGLE_p_R))","v":-55.515618653900731},null,{"$f":"IF(CJ10<>0,CK8+TAN(radiansg+ANGLE_p_R)*(CJ12-CJ8),CK8+(0-CJ8)*TAN(radiansg+ANGLE_p_R))","v":-63.962043273356954}]
["and the diameter is perpendicular to the",null,null,null,"y11 ",{"$f":"B16*SIN(radiansg)+B18*COS(radiansg)","v":17.065103593739039},null,null,null,null,null,null,null,null,null,null,null,null,null,"refraction",{"$f":"ATAN((V7-htry)/(U7-htrx))","v":9.0999123557969297E-2},{"$f":"U13","v":9.0999123557969297E-2},null,null,"REFRACTION",{"$f":"ASIN(SIN(Z12)/nn)","v":-0.54662413010924193},{"$f":"Z13","v":-0.54662413010924193},{"$f":"ASIN(SIN(AB12)/nn)","v":-0.45796945839250169},{"$f":"AB13","v":-0.45796945839250169},{"$f":"ASIN(SIN(AD12)/nn)","v":-0.37181586798939364},{"$f":"AD13","v":-0.37181586798939364},{"$f":"ASIN(SIN(AF12)/nn)","v":-0.2874940451659439},{"$f":"AF13","v":-0.2874940451659439},{"$f":"ASIN(SIN(AH12)/nn)","v":-0.2044822336013829},{"$f":"AH13","v":-0.2044822336013829},{"$f":"ASIN(SIN(AJ12)/nn)","v":-0.12235122350306091},{"$f":"AJ13","v":-0.12235122350306091},{"$f":"ASIN(SIN(AL12)/nn)","v":-4.0728360073726856E-2},{"$f":"AL13","v":-4.0728360073726856E-2},{"$f":"ASIN(SIN(AN12)/nn)","v":4.0728360073726905E-2},{"$f":"AN13","v":4.0728360073726905E-2},{"$f":"ASIN(SIN(AP12)/nn)","v":0.1223512235030608},{"$f":"AP13","v":0.1223512235030608},{"$f":"ASIN(SIN(AR12)/nn)","v":0.2044822336013829},{"$f":"AR13","v":0.2044822336013829},{"$f":"ASIN(SIN(AT12)/nn)","v":0.2874940451659439},{"$f":"AT13","v":0.2874940451659439},{"$f":"ASIN(SIN(AV12)/nn)","v":0.37181586798939359},{"$f":"AV13","v":0.37181586798939359},{"$f":"ASIN(SIN(AX12)/nn)","v":0.45796945839250169},{"$f":"AX13","v":0.45796945839250169},{"$f":"ASIN(SIN(AZ12)/nn)","v":0.54662413010924205},{"$f":"AZ13","v":0.54662413010924205},{"$f":"ASIN(SIN(BB12)/nn)","v":0.6386883454522686},{"$f":"BB13","v":0.6386883454522686},"ANGLE","INCIDENCE",{"$f":"IF(BF10<>0,-ASIN((BF10*(BG10-BG8)-BG10*(BF10-BF8))/RADIUS_OF_SEMICIRCLE/SQRT((BF10-BF8)^2+(BG10-BG8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"BF13","v":0.1048942880448592},{"$f":"IF(BH10<>0,-ASIN((BH10*(BI10-BI8)-BI10*(BH10-BH8))/RADIUS_OF_SEMICIRCLE/SQRT((BH10-BH8)^2+(BI10-BI8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"BH13","v":0.1048942880448592},{"$f":"IF(BJ10<>0,-ASIN((BJ10*(BK10-BK8)-BK10*(BJ10-BJ8))/RADIUS_OF_SEMICIRCLE/SQRT((BJ10-BJ8)^2+(BK10-BK8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"BJ13","v":0.1048942880448592},{"$f":"IF(BL10<>0,-ASIN((BL10*(BM10-BM8)-BM10*(BL10-BL8))/RADIUS_OF_SEMICIRCLE/SQRT((BL10-BL8)^2+(BM10-BM8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"BL13","v":0.1048942880448592},{"$f":"IF(BN10<>0,-ASIN((BN10*(BO10-BO8)-BO10*(BN10-BN8))/RADIUS_OF_SEMICIRCLE/SQRT((BN10-BN8)^2+(BO10-BO8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"BN13","v":0.1048942880448592},{"$f":"IF(BP10<>0,-ASIN((BP10*(BQ10-BQ8)-BQ10*(BP10-BP8))/RADIUS_OF_SEMICIRCLE/SQRT((BP10-BP8)^2+(BQ10-BQ8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"BP13","v":0.1048942880448592},{"$f":"IF(BR10<>0,-ASIN((BR10*(BS10-BS8)-BS10*(BR10-BR8))/RADIUS_OF_SEMICIRCLE/SQRT((BR10-BR8)^2+(BS10-BS8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"BR13","v":0.1048942880448592},{"$f":"IF(BT10<>0,-ASIN((BT10*(BU10-BU8)-BU10*(BT10-BT8))/RADIUS_OF_SEMICIRCLE/SQRT((BT10-BT8)^2+(BU10-BU8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"BT13","v":0.1048942880448592},{"$f":"IF(BV10<>0,-ASIN((BV10*(BW10-BW8)-BW10*(BV10-BV8))/RADIUS_OF_SEMICIRCLE/SQRT((BV10-BV8)^2+(BW10-BW8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"BV13","v":0.1048942880448592},{"$f":"IF(BX10<>0,-ASIN((BX10*(BY10-BY8)-BY10*(BX10-BX8))/RADIUS_OF_SEMICIRCLE/SQRT((BX10-BX8)^2+(BY10-BY8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"BX13","v":0.1048942880448592},{"$f":"IF(BZ10<>0,-ASIN((BZ10*(CA10-CA8)-CA10*(BZ10-BZ8))/RADIUS_OF_SEMICIRCLE/SQRT((BZ10-BZ8)^2+(CA10-CA8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"BZ13","v":0.1048942880448592},{"$f":"IF(CB10<>0,-ASIN((CB10*(CC10-CC8)-CC10*(CB10-CB8))/RADIUS_OF_SEMICIRCLE/SQRT((CB10-CB8)^2+(CC10-CC8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"CB13","v":0.1048942880448592},{"$f":"IF(CD10<>0,-ASIN((CD10*(CE10-CE8)-CE10*(CD10-CD8))/RADIUS_OF_SEMICIRCLE/SQRT((CD10-CD8)^2+(CE10-CE8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"CD13","v":0.1048942880448592},{"$f":"IF(CF10<>0,-ASIN((CF10*(CG10-CG8)-CG10*(CF10-CF8))/RADIUS_OF_SEMICIRCLE/SQRT((CF10-CF8)^2+(CG10-CG8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"CF13","v":0.1048942880448592},{"$f":"IF(CH10<>0,-ASIN((CH10*(CI10-CI8)-CI10*(CH10-CH8))/RADIUS_OF_SEMICIRCLE/SQRT((CH10-CH8)^2+(CI10-CI8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"CH13","v":0.1048942880448592},{"$f":"IF(CJ10<>0,-ASIN((CJ10*(CK10-CK8)-CK10*(CJ10-CJ8))/RADIUS_OF_SEMICIRCLE/SQRT((CJ10-CJ8)^2+(CK10-CK8)^2)),radiansg+ANGLE_p_R)","v":0.1048942880448592},{"$f":"CJ13","v":0.1048942880448592}]
["x axis",null,null,null,"Disance of source from center =",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"in degrees",{"$f":"DEGREES(U13)","v":5.2138657192611442},{"$f":"DEGREES(V13)","v":5.2138657192611442},null,null,"NEW KLISI",{"$f":"ATAN(AA11/Z11)-Z13","v":8.4062436401455221E-2},{"$f":"Z14","v":8.4062436401455221E-2},{"$f":"ATAN(AC11/AB11)-AB13","v":0.11371974156906028},{"$f":"AB14","v":0.11371974156906028},{"$f":"ATAN(AE11/AD11)-AD13","v":0.12548315271418917},{"$f":"AD14","v":0.12548315271418917},{"$f":"ATAN(AG11/AF11)-AF13","v":0.12736928412490439},{"$f":"AF14","v":0.12736928412490439},{"$f":"ATAN(AI11/AH11)-AH13","v":0.12335564228373438},{"$f":"AH14","v":0.12335564228373438},{"$f":"ATAN(AK11/AJ11)-AJ13","v":0.11581077440205199},{"$f":"AJ14","v":0.11581077440205199},{"$f":"ATAN(AM11/AL11)-AL13","v":0.10636728494024469},{"$f":"AL14","v":0.10636728494024469},{"$f":"ATAN(AO11/AN11)-AN13","v":9.6323402382081535E-2},{"$f":"AN14","v":9.6323402382081535E-2},{"$f":"ATAN(AQ11/AP11)-AP13","v":8.6879912920274222E-2},{"$f":"AP14","v":8.6879912920274222E-2},{"$f":"ATAN(AS11/AR11)-AR13","v":7.9335045038591845E-2},{"$f":"AR14","v":7.9335045038591845E-2},{"$f":"ATAN(AU11/AT11)-AT13","v":7.532140319742181E-2},{"$f":"AT14","v":7.532140319742181E-2},{"$f":"ATAN(AW11/AV11)-AV13","v":7.7207534608136952E-2},{"$f":"AV14","v":7.7207534608136952E-2},{"$f":"ATAN(AY11/AX11)-AX13","v":8.8970945753265918E-2},{"$f":"AX14","v":8.8970945753265918E-2},{"$f":"ATAN(BA11/AZ11)-AZ13","v":0.11862825092087104},{"$f":"AZ14","v":0.11862825092087104},{"$f":"ATAN(BC11/BB11)-BB13","v":0.18822085121001941},{"$f":"BB14","v":0.18822085121001941},null,"refraction",{"$f":"ASIN(SIN(BF13)/nn)","v":6.9858165005176498E-2},{"$f":"ASIN(SIN(BG13)/nn)","v":6.9858165005176498E-2},{"$f":"ASIN(SIN(BH13)/nn)","v":6.9858165005176498E-2},6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,{"$f":"ASIN(SIN(BX13)/nn)","v":6.9858165005176498E-2},6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,6.9858165005176498E-2,"refraction angle"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"REF CIR  LEFT",{"$f":"IF(U63<1,ATAN(V70/U70),FALSE)","v":-1.1363117168281356},{"$f":"IF(U72,DEGREES(U72),\"NO REFRACTION\")","v":-65.105865585516895}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"posibile cut"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"U34","v":9.8541180481403243E-2},{"$f":"V34","v":5.645993749821332},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"Paralllel band with inclination = \" & ANGLE_p & \"°\" & \"  index of refraction = \" & nn","v":"Paralllel band with inclination = 10°  index of refraction = 1,5"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"COUNTA(O9:O74)","v":3},{"$f":"COUNTA(P9:P74)","v":2},{"$f":"COUNTA(Q9:Q74)","v":1},{"$f":"COUNTA(R9:R74)","v":2},null,null,{"$f":"THETA","v":19.600000000000001},{"$f":"THETA","v":19.600000000000001},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"°"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(circle_left,V74,V72)","v":5.645993749821332},"",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X4,Y4",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BZ77+1","v":11},{"$f":"CB76","v":11},{"$f":"CB76+1","v":12},{"$f":"CD76","v":12},{"$f":"CD76+1","v":13},{"$f":"CF76","v":13},{"$f":"CF76+1","v":14},{"$f":"CH76","v":14},{"$f":"CH76+1","v":15},{"$f":"CJ76","v":15}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"0","v":0},{"$f":"BF77+1","v":1},{"$f":"BH77","v":1},{"$f":"BH77+1","v":2},{"$f":"BJ77","v":2},{"$f":"BJ77+1","v":3},{"$f":"BL77","v":3},{"$f":"BL77+1","v":4},{"$f":"BN77","v":4},{"$f":"BN77+1","v":5},{"$f":"BP77","v":5},{"$f":"BP77+1","v":6},{"$f":"BR77","v":6},{"$f":"BR77+1","v":7},{"$f":"BT77","v":7},{"$f":"BT77+1","v":8},{"$f":"BV77","v":8},{"$f":"BV77+1","v":9},{"$f":"BX77","v":9},{"$f":"BX77+1","v":10},{"$f":"BZ77","v":10}]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X1,Y1"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X2,Y2"]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"X=(-K*(Y11-X11*K)+SQRT(R^2*(1+K^2)-(Y11-X11*K)^2))/(1+K^)"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BF88^2","v":1.1084025682486882E-2},{"$f":"TAN(RADIANS(ANGLE_p+ANGLE))","v":0.10528069947757225}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"ATAN(4)","v":1.3258176636680326}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"RADIANS(ANGLE+ANGLE_p)","v":0.1048942880448592}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"TAN(BF90)","v":0.10528069947757225}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BF91^2","v":1.1084025682486882E-2}]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
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[]
[]
["h",{"$f":"h","v":2.5},{"$f":"(h-YC)*SIN(radiansg)","v":-0.13916472982158348},{"$f":"radiansg","v":-6.9638637154573746E-2}]
[null,"htrx","htry","the point at which the ray meets the y axis in the transformed "]
[null,{"$f":"(0-XC)*COS(radiansg)-(h-YC)*SIN(radiansg)","v":0.81751655253142042},{"$f":"(0-XC)*SIN(radiansg)+(h-YC)*COS(radiansg)","v":1.947836411595476}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"single ray"]
[null,6,6,10,{"$f":"D132","v":10},{"$f":"D132+10","v":20},{"$f":"F132","v":20},{"$f":"F132+10","v":30},{"$f":"H132","v":30},{"$f":"H132+10","v":40},{"$f":"J132","v":40},{"$f":"J132+10","v":50},{"$f":"L132","v":50},{"$f":"L132+10","v":60},{"$f":"N132","v":60},{"$f":"N132+10","v":70},{"$f":"P132","v":70},{"$f":"P132+10","v":80},{"$f":"R132","v":80},null,{"$f":"THETA","v":19.600000000000001},{"$f":"U132","v":19.600000000000001}]
[null,{"$f":"RADIANS(B132)","v":0.10471975511965978},0.10471975511965978,0.17453292519943295,0.17453292519943295,0.3490658503988659,0.3490658503988659,0.52359877559829882,0.52359877559829882,0.69813170079773179,0.69813170079773179,0.87266462599716477,0.87266462599716477,1.0471975511965976,1.0471975511965976,1.2217304763960306,1.2217304763960306,1.3962634015954636,1.3962634015954636,null,{"$f":"RADIANS(U132)","v":0.34208453339088862},{"$f":"RADIANS(V132)","v":0.34208453339088862}]
["X1,Y1",{"$f":"150*COS(B133)","v":149.17828430524099},{"$f":"150*SIN(C133)","v":15.679269490148021},{"$f":"150*COS(D133)","v":147.72116295183119},{"$f":"150*SIN(E133)","v":26.047226650039551},{"$f":"150*COS(F133)","v":140.95389311788625},{"$f":"150*SIN(G133)","v":51.303021498850306},{"$f":"150*COS(H133)","v":129.9038105676658},{"$f":"150*SIN(I133)","v":74.999999999999986},{"$f":"150*COS(J133)","v":114.9066664678467},{"$f":"150*SIN(K133)","v":96.41814145298089},{"$f":"150*COS(L133)","v":96.418141452980905},{"$f":"150*SIN(M133)","v":114.9066664678467},{"$f":"150*COS(N133)","v":75.000000000000014},{"$f":"150*SIN(O133)","v":129.9038105676658},{"$f":"150*COS(P133)","v":51.30302149885032},{"$f":"150*SIN(Q133)","v":140.95389311788625},{"$f":"150*COS(R133)","v":26.047226650039562},{"$f":"150*SIN(S133)","v":147.72116295183119},"X1,Y1",{"$f":"150*COS(U133)","v":141.30861791809451},{"$f":"150*SIN(V133)","v":50.317735462538252}]
[null,"we do a transformation by xc, yc "]
[null,{"$f":"B134-XC","v":149.858284305241},{"$f":"C134-YC","v":15.179269490148021},{"$f":"D134-XC","v":148.4011629518312},{"$f":"E134-YC","v":25.547226650039551},{"$f":"F134-XC","v":141.63389311788626},{"$f":"G134-YC","v":50.803021498850306},{"$f":"H134-XC","v":130.58381056766581},{"$f":"I134-YC","v":74.499999999999986},{"$f":"J134-XC","v":115.58666646784671},{"$f":"K134-YC","v":95.91814145298089},{"$f":"L134-XC","v":97.098141452980911},{"$f":"M134-YC","v":114.4066664678467},{"$f":"N134-XC","v":75.680000000000021},{"$f":"O134-YC","v":129.4038105676658},{"$f":"P134-XC","v":51.98302149885032},{"$f":"Q134-YC","v":140.45389311788625},{"$f":"R134-XC","v":26.727226650039562},{"$f":"S134-YC","v":147.22116295183119},null,{"$f":"U134-XC","v":141.98861791809452},{"$f":"V134-YC","v":49.817735462538252}]
["IN ROTATED","we do a transformation by gonia",null,null,null,"x11=x1cosg-y1singy11=x1sing+y1cosg",null,null,null,null,null,null,null,null,null,null,null,null,null,"IN ROTATED"]
["X1,Y1",{"$f":"B136*COS(radiansg)-C136*SIN(radiansg)","v":150.55126874319743},{"$f":"B136*SIN(radiansg)+C136*COS(radiansg)","v":4.7149843031053802},{"$f":"D136*COS(radiansg)-E136*SIN(radiansg)","v":149.81910612462502},{"$f":"D136*SIN(radiansg)+E136*COS(radiansg)","v":15.159201660469888},{"$f":"F136*COS(radiansg)-G136*SIN(radiansg)","v":144.82559666581022},{"$f":"F136*SIN(radiansg)+G136*COS(radiansg)","v":40.824664401970658},{"$f":"H136*COS(radiansg)-I136*SIN(radiansg)","v":135.45118900198952},{"$f":"H136*SIN(radiansg)+I136*COS(radiansg)","v":65.233097276760802},{"$f":"J136*COS(radiansg)-K136*SIN(radiansg)","v":121.98071976634891},{"$f":"J136*SIN(radiansg)+K136*COS(radiansg)","v":87.642862403202827},{"$f":"L136*COS(radiansg)-M136*SIN(radiansg)","v":104.82348235022704},{"$f":"L136*SIN(radiansg)+M136*COS(radiansg)","v":107.37305040781811},{"$f":"N136*COS(radiansg)-O136*SIN(radiansg)","v":84.500790730531691},{"$f":"N136*SIN(radiansg)+O136*COS(radiansg)","v":123.82416951204327},{"$f":"P136*COS(radiansg)-Q136*SIN(radiansg)","v":61.630139608349154},{"$f":"P136*SIN(radiansg)+Q136*COS(radiansg)","v":136.49636078656434},{"$f":"R136*COS(radiansg)-S136*SIN(radiansg)","v":36.906442144919076},{"$f":"R136*SIN(radiansg)+S136*COS(radiansg)","v":145.00458611194324},"X1,Y1",{"$f":"U136*COS(radiansg)-V136*SIN(radiansg)","v":145.11090315502778},{"$f":"U136*SIN(radiansg)+V136*COS(radiansg)","v":39.817083901740197}]
[null,"we find the point at which the line from x1, y1 meets the radius"]
[null,"the point y at whih it cuts the diameter is (0,h) in lab so it is (-xc, h-yc) in the fist trnsforamtion and it is (htrx, htry) by the second transformation"]
["X=0,Y=h",{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},"X=0,Y=h",{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476}]
[null,"we calculate the refraction angle in the new frame sin(theta) = sin(incidence)/n"]
["incidence",{"$f":"ATAN((C138-htry)/(B138-htrx))","v":1.8478351719561543E-2},{"$f":"B143","v":1.8478351719561543E-2},{"$f":"ATAN((E138-htry)/(D138-htrx))","v":8.8434671386978927E-2},{"$f":"D143","v":8.8434671386978927E-2},{"$f":"ATAN((G138-htry)/(F138-htrx))","v":0.26367718415115765},{"$f":"F143","v":0.26367718415115765},{"$f":"ATAN((I138-htry)/(H138-htrx))","v":0.43940611733633855},{"$f":"H143","v":0.43940611733633855},{"$f":"ATAN((K138-htry)/(J138-htrx))","v":0.61558811264072166},{"$f":"J143","v":0.61558811264072166},{"$f":"ATAN((M138-htry)/(L138-htrx))","v":0.79217474019444212},{"$f":"L143","v":0.79217474019444212},{"$f":"ATAN((O138-htry)/(N138-htrx))","v":0.9691037393584212},{"$f":"N143","v":0.9691037393584212},{"$f":"ATAN((Q138-htry)/(P138-htrx))","v":1.1463008717500209},{"$f":"P143","v":1.1463008717500209},{"$f":"ATAN((S138-htry)/(R138-htrx))","v":1.323682341144196},{"$f":"R143","v":1.323682341144196},"incidence",{"$f":"ATAN((V138-htry)/(U138-htrx))","v":0.25665797519538491},{"$f":"U143","v":0.25665797519538491}]
["in degrees",{"$f":"DEGREES(B143)","v":1.0587315658891838},{"$f":"DEGREES(C143)","v":1.0587315658891838},{"$f":"DEGREES(D143)","v":5.0669334331002345},5.0669334331002345,15.107589805755133,15.107589805755133,25.176116015602435,25.176116015602435,35.270600772737275,35.270600772737275,45.388269250014027,45.388269250014027,{"$f":"DEGREES(N143)","v":55.5255541755837},55.5255541755837,65.678202003443261,65.678202003443261,75.841411563558466,75.841411563558466,"in degrees",{"$f":"DEGREES(U143)","v":14.705418757068927},{"$f":"DEGREES(V143)","v":14.705418757068927}]
["refraction",{"$f":"ASIN(SIN(B143)/nn)","v":1.2318511655832075E-2},1.2318511655832075E-2,5.8913704883730676E-2,5.8913704883730676E-2,0.17464132858821316,0.17464132858821316,0.28754761267359569,0.28754761267359569,0.39516359886198127,0.39516359886198127,0.49449610756057083,0.49449610756057083,0.58186838975442023,0.58186838975442023,0.65290663062654108,0.65290663062654108,0.70287629528118933,0.70287629528118933,"refraction",{"$f":"ASIN(SIN(U143)/nn)","v":0.17005133986190643},{"$f":"ASIN(SIN(V143)/nn)","v":0.17005133986190643}]
["in degrees",{"$f":"DEGREES(B145)","v":0.70579872776188923},{"$f":"DEGREES(C145)","v":0.70579872776188923},3.3755066453170341,3.3755066453170341,10.006211056662021,10.006211056662021,16.475264615259533,16.475264615259533,22.641206431992188,22.641206431992188,28.332539948867907,28.332539948867907,{"$f":"DEGREES(N145)","v":33.338602965001513},33.338602965001513,37.408794351007778,37.408794351007778,40.27184523940317,40.27184523940317,"in degrees",{"$f":"DEGREES(U145)","v":9.7432240746320176},{"$f":"DEGREES(V145)","v":9.7432240746320176}]
["X2,Y2",{"$f":"0","v":0},{"$f":"C138+(0-B138)*TAN(C143)","v":1.9327283336136243},{"$f":"0","v":0},{"$f":"E138+(0-D138)*TAN(E143)","v":1.8753505421258261},{"$f":"0","v":0},{"$f":"G138+(0-F138)*TAN(G143)","v":1.7271373343836416},{"$f":"0","v":0},{"$f":"I138+(0-H138)*TAN(I143)","v":1.5635584865617815},{"$f":"0","v":0},{"$f":"K138+(0-J138)*TAN(K143)","v":1.3696319703170445},{"$f":"0","v":0},{"$f":"M138+(0-L138)*TAN(M143)","v":1.1191641634696055},{"$f":"0","v":0},{"$f":"O138+(0-N138)*TAN(O143)","v":0.75720518151817373},{"$f":"0","v":0},{"$f":"Q138+(0-P138)*TAN(Q143)","v":0.13907302879823646},{"$f":"0","v":0},{"$f":"S138+(0-R138)*TAN(S143)","v":-1.2928048353151098},"X2,Y2",{"$f":"0","v":0},{"$f":"V138+(0-U138)*TAN(V143)","v":1.7332823188262196}]
["point at","semicricel we must find the cut of semicircel with the line that has inclination -angle of refraction and starting point htrx, htry with circel (x))^2+(y)^2=R^2",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"point at"]
["semcircele",{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(B145))^2)-(C147-B147*TAN(B145))^2","v":5622.1182172742056},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(C145))^2)-(C147-B147*TAN(C145))^2","v":5622.1182172742056},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(D145))^2)-(E147-D147*TAN(D145))^2","v":5641.0517126984532},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(E145))^2)-(E147-D147*TAN(E145))^2","v":5641.0517126984532},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(F145))^2)-(G147-F147*TAN(F145))^2","v":5797.126817601863},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(G145))^2)-(G147-F147*TAN(G145))^2","v":5797.126817601863},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(H145))^2)-(I147-H147*TAN(H145))^2","v":6114.5430452121182},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(I145))^2)-(I147-H147*TAN(I145))^2","v":6114.5430452121182},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(J145))^2)-(K147-J147*TAN(J145))^2","v":6601.7371220747236},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(K145))^2)-(K147-J147*TAN(K145))^2","v":6601.7371220747236},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(L145))^2)-(M147-L147*TAN(L145))^2","v":7259.0035726133146},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(M145))^2)-(M147-L147*TAN(M145))^2","v":7259.0035726133146},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(N145))^2)-(O147-N147*TAN(N145))^2","v":8058.6805201445459},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(O145))^2)-(O147-N147*TAN(O145))^2","v":8058.6805201445459},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(P145))^2)-(Q147-P147*TAN(P145))^2","v":8915.1586258265597},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(Q145))^2)-(Q147-P147*TAN(Q145))^2","v":8915.1586258265597},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(R145))^2)-(S147-R147*TAN(R145))^2","v":9660.824353998154},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(S145))^2)-(S147-R147*TAN(S145))^2","v":9660.824353998154},"semcircele",{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(U145))^2)-(V147-U147*TAN(U145))^2","v":5787.8444281955681},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(V145))^2)-(V147-U147*TAN(V145))^2","v":5787.8444281955681}]
[null,{"$f":"(-(C147-B147*TAN(B145))+SQRT(B149))/(1+(TAN(B145))^2)","v":73.036973150208865},{"$f":"(-(C147-B147*TAN(C145))+SQRT(C149))/(1+(TAN(C145))^2)","v":73.036973150208865},{"$f":"(-(E147-D147*TAN(D145))+SQRT(D149))/(1+(TAN(D145))^2)","v":72.977704582867489},{"$f":"(-(E147-D147*TAN(E145))+SQRT(E149))/(1+(TAN(E145))^2)","v":72.977704582867489},{"$f":"(-(G147-F147*TAN(F145))+SQRT(F149))/(1+(TAN(F145))^2)","v":72.165180149594846},{"$f":"(-(G147-F147*TAN(G145))+SQRT(G149))/(1+(TAN(G145))^2)","v":72.165180149594846},{"$f":"(-(I147-H147*TAN(H145))+SQRT(H149))/(1+(TAN(H145))^2)","v":70.468494196441327},{"$f":"(-(I147-H147*TAN(I145))+SQRT(I149))/(1+(TAN(I145))^2)","v":70.468494196441327},{"$f":"(-(K147-J147*TAN(J145))+SQRT(J149))/(1+(TAN(J145))^2)","v":68.043526142078832},{"$f":"(-(K147-J147*TAN(K145))+SQRT(K149))/(1+(TAN(K145))^2)","v":68.043526142078832},{"$f":"(-(M147-L147*TAN(L145))+SQRT(L149))/(1+(TAN(L145))^2)","v":65.142812114133633},{"$f":"(-(M147-L147*TAN(M145))+SQRT(M149))/(1+(TAN(M145))^2)","v":65.142812114133633},{"$f":"(-(O147-N147*TAN(N145))+SQRT(N149))/(1+(TAN(N145))^2)","v":62.127070776014982},{"$f":"(-(O147-N147*TAN(O145))+SQRT(O149))/(1+(TAN(O145))^2)","v":62.127070776014982},{"$f":"(-(Q147-P147*TAN(P145))+SQRT(P149))/(1+(TAN(P145))^2)","v":59.486291604169097},{"$f":"(-(Q147-P147*TAN(Q145))+SQRT(Q149))/(1+(TAN(Q145))^2)","v":59.486291604169097},{"$f":"(-(S147-R147*TAN(R145))+SQRT(R149))/(1+(TAN(R145))^2)","v":57.971609045581417},{"$f":"(-(S147-R147*TAN(S145))+SQRT(S149))/(1+(TAN(S145))^2)","v":57.971609045581417},null,{"$f":"(-(V147-U147*TAN(U145))+SQRT(U149))/(1+(TAN(U145))^2)","v":72.21538779780775},{"$f":"(-(V147-U147*TAN(V145))+SQRT(V149))/(1+(TAN(V145))^2)","v":72.21538779780775}]
["X3,Y3",{"$f":"(-(C147-B147*TAN(B145))-SQRT(B149))/(1+(TAN(B145))^2)","v":-76.901843280563682},{"$f":"C147+TAN(C145)*(B151-B147)","v":0.98536416083311018},{"$f":"(-(E147-D147*TAN(D145))-SQRT(D149))/(1+(TAN(D145))^2)","v":-76.715402695568443},{"$f":"E147+TAN(E145)*(D151-D147)","v":-2.6494742217612846},{"$f":"(-(G147-F147*TAN(F145))-SQRT(F149))/(1+(TAN(F145))^2)","v":-75.515167582859377},{"$f":"G147+TAN(G145)*(F151-F147)","v":-11.596664940348079},{"$f":"(-(I147-H147*TAN(H145))-SQRT(H149))/(1+(TAN(H145))^2)","v":-73.344097951581887},{"$f":"I147+TAN(I145)*(H151-H147)","v":-20.127515590031368},{"$f":"(-(K147-J147*TAN(J145))-SQRT(J149))/(1+(TAN(J145))^2)","v":-70.376848769229497},{"$f":"K147+TAN(K145)*(J151-J147)","v":-27.984824729387029},{"$f":"(-(M147-L147*TAN(L145))-SQRT(L149))/(1+(TAN(L145))^2)","v":-66.876992928668912},{"$f":"M147+TAN(M145)*(L151-L147)","v":-34.939394480643116},{"$f":"(-(O147-N147*TAN(N145))-SQRT(N149))/(1+(TAN(N145))^2)","v":-63.184061710795859},{"$f":"O147+TAN(O145)*(N151-N147)","v":-40.807931466245464},{"$f":"(-(Q147-P147*TAN(P145))-SQRT(P149))/(1+(TAN(P145))^2)","v":-59.66178687523918},{"$f":"Q147+TAN(Q145)*(P151-P147)","v":-45.490319592659688},{"$f":"(-(S147-R147*TAN(R145))-SQRT(R149))/(1+(TAN(R145))^2)","v":-56.466402228279229},{"$f":"S147+TAN(S145)*(R151-R147)","v":-49.132112993726949},"X3,Y3",{"$f":"(-(V147-U147*TAN(U145))-SQRT(U149))/(1+(TAN(U145))^2)","v":-75.582670749089715},{"$f":"V147+TAN(V145)*(U151-U147)","v":-11.244993532413705}]
["ext prod",{"$f":"(B151*(C151-C147)-C151*(B151-B147))","v":148.63037141545993},{"$f":"SQRT((B151-B147)^2+(C151-C147)^2)*RADIUS_OF_SEMICIRCLE","v":5768.075880949069},{"$f":"(D151*(E151-E147)-E151*(D151-D147))","v":143.86827203453535},{"$f":"SQRT((D151-D147)^2+(E151-E147)^2)*RADIUS_OF_SEMICIRCLE","v":5763.6546266769865},{"$f":"(F151*(G151-G147)-G151*(F151-F147))","v":130.42506524459372},{"$f":"SQRT((F151-F147)^2+(G151-G147)^2)*RADIUS_OF_SEMICIRCLE","v":5751.118270557874},{"$f":"(H151*(I151-I147)-I151*(H151-H147))","v":114.67778679141452},{"$f":"SQRT((H151-H147)^2+(I151-I147)^2)*RADIUS_OF_SEMICIRCLE","v":5736.3280170303315},{"$f":"(J151*(K151-K147)-K151*(J151-J147))","v":96.390382044504349},{"$f":"SQRT((J151-J147)^2+(K151-K147)^2)*RADIUS_OF_SEMICIRCLE","v":5719.006947090782},{"$f":"(L151*(M151-M147)-M151*(L151-L147))","v":74.846333846376638},{"$f":"SQRT((L151-L147)^2+(M151-M147)^2)*RADIUS_OF_SEMICIRCLE","v":5698.3970614577947},{"$f":"(N151*(O151-O147)-O151*(N151-N147))","v":47.843298916779077},{"$f":"SQRT((N151-N147)^2+(O151-O147)^2)*RADIUS_OF_SEMICIRCLE","v":5672.2447138119578},{"$f":"(P151*(Q151-Q147)-Q151*(P151-P147))","v":8.297345404254429},{"$f":"SQRT((P151-P147)^2+(Q151-Q147)^2)*RADIUS_OF_SEMICIRCLE","v":5633.279049394022},{"$f":"(R151*(S151-S147)-S151*(R151-R147))","v":-73.000037833567148},{"$f":"SQRT((R151-R147)^2+(S151-S147)^2)*RADIUS_OF_SEMICIRCLE","v":5550.5340886672657},"ext prod",{"$f":"(U151*(V151-V147)-V151*(U151-U147))","v":131.00610681906085},{"$f":"SQRT((U151-U147)^2+(V151-V147)^2)*RADIUS_OF_SEMICIRCLE","v":5751.6618171797536}]
["sec incidence",{"$f":"ASIN(B152/C152)","v":2.5770608304044821E-2},{"$f":"B153","v":2.5770608304044821E-2},{"$f":"ASIN(D152/E152)","v":2.4963885842041695E-2},{"$f":"D153","v":2.4963885842041695E-2},{"$f":"ASIN(F152/G152)","v":2.2680153897750497E-2},{"$f":"F153","v":2.2680153897750497E-2},{"$f":"ASIN(H152/I152)","v":1.999282929983159E-2},{"$f":"H153","v":1.999282929983159E-2},{"$f":"ASIN(J152/K152)","v":1.6855189568861464E-2},{"$f":"J153","v":1.6855189568861464E-2},{"$f":"ASIN(L152/M152)","v":1.3135007137792528E-2},{"$f":"L153","v":1.3135007137792528E-2},{"$f":"ASIN(N152/O152)","v":8.4347323916748995E-3},{"$f":"N153","v":8.4347323916748995E-3},{"$f":"ASIN(P152/Q152)","v":1.4729162769426729E-3},{"$f":"P153","v":1.4729162769426729E-3},{"$f":"ASIN(R152/S152)","v":-1.3152273516192005E-2},{"$f":"R153","v":-1.3152273516192005E-2},"sec incidence",{"$f":"ASIN(U152/V152)","v":2.277905780921698E-2},{"$f":"U153","v":2.277905780921698E-2}]
["sec refra",{"$f":"IF(SIN(B153)*nn<1,ASIN(SIN(B153)*nn),-B153)","v":3.8661264279372227E-2},3.8661264279372227E-2,3.7450693363747858E-2,3.7450693363747858E-2,3.4023878412193023E-2,3.4023878412193023E-2,2.9991742222920167E-2,2.9991742222920167E-2,2.5284281173796552E-2,2.5284281173796552E-2,1.9703218999914032E-2,1.9703218999914032E-2,1.2652286127415381E-2,1.2652286127415381E-2,2.2093754139991813E-3,2.2093754139991813E-3,-1.9729121364718261E-2,-1.9729121364718261E-2,"sec refra",{"$f":"IF(SIN(U153)*nn<1,ASIN(SIN(U153)*nn),-U153)","v":3.4172282222847336E-2},{"$f":"IF(SIN(V153)*nn<1,ASIN(SIN(V153)*nn),-V153)","v":3.4172282222847336E-2}]
["new angle",{"$f":"B154+ATAN(C151/B151)","v":2.5848694405306336E-2},{"$f":"B155","v":2.5848694405306336E-2},{"$f":"D154+ATAN(E151/D151)","v":7.197337698943862E-2},{"$f":"D155","v":7.197337698943862E-2},{"$f":"F154+ATAN(G151/F151)","v":0.18640084784683242},{"$f":"F155","v":0.18640084784683242},{"$f":"H154+ATAN(I151/H151)","v":0.29782408156981349},{"$f":"H155","v":0.29782408156981349},{"$f":"J154+ATAN(K151/J151)","v":0.40375666336513338},{"$f":"J155","v":0.40375666336513338},{"$f":"L154+ATAN(M151/L151)","v":0.50114334159463159},{"$f":"L155","v":0.50114334159463159},{"$f":"N154+ATAN(O151/N151)","v":0.58611021559050958},{"$f":"N155","v":0.58611021559050958},{"$f":"P154+ATAN(Q151/P151)","v":0.65364359984666254},{"$f":"P155","v":0.65364359984666254},{"$f":"R154+ATAN(S151/R151)","v":0.69632592783042191},{"$f":"R155","v":0.69632592783042191},"new angle",{"$f":"U154+ATAN(V151/U151)","v":0.18186632288544674},{"$f":"U155","v":0.18186632288544674}]
["x4,y4",{"$f":"IF(SIN(B153)*nn<1,-200,B151+RADIUS_OF_SEMICIRCLE*COS(B154))","v":-200},{"$f":"IF(SIN(C153)*nn<1,C151+(-200-B151)*TAN(B155),B151-RADIUS_OF_SEMICIRCLE*SIN(D155))","v":-2.1972713369163346},{"$f":"IF(SIN(D153)*nn<1,-200,D151+RADIUS_OF_SEMICIRCLE*COS(D154))","v":-200},{"$f":"IF(SIN(E153)*nn<1,E151+(-200-D151)*TAN(D155),D151-RADIUS_OF_SEMICIRCLE*SIN(F155))","v":-11.538036402349055},{"$f":"IF(SIN(F153)*nn<1,-200,F151+RADIUS_OF_SEMICIRCLE*COS(F154))","v":-200},{"$f":"IF(SIN(G153)*nn<1,G151+(-200-F151)*TAN(F155),F151-RADIUS_OF_SEMICIRCLE*SIN(H155))","v":-35.073275594930941},{"$f":"IF(SIN(H153)*nn<1,-200,H151+RADIUS_OF_SEMICIRCLE*COS(H154))","v":-200},{"$f":"IF(SIN(I153)*nn<1,I151+(-200-H151)*TAN(H155),H151-RADIUS_OF_SEMICIRCLE*SIN(J155))","v":-59.005015858791026},{"$f":"IF(SIN(J153)*nn<1,-200,J151+RADIUS_OF_SEMICIRCLE*COS(J154))","v":-200},{"$f":"IF(SIN(K153)*nn<1,K151+(-200-J151)*TAN(J155),J151-RADIUS_OF_SEMICIRCLE*SIN(L155))","v":-83.363524844270117},{"$f":"IF(SIN(L153)*nn<1,-200,L151+RADIUS_OF_SEMICIRCLE*COS(L154))","v":-200},{"$f":"IF(SIN(M153)*nn<1,M151+(-200-L151)*TAN(L155),L151-RADIUS_OF_SEMICIRCLE*SIN(N155))","v":-107.86257843273336},{"$f":"IF(SIN(N153)*nn<1,-200,N151+RADIUS_OF_SEMICIRCLE*COS(N154))","v":-200},{"$f":"IF(SIN(O153)*nn<1,O151+(-200-N151)*TAN(N155),N151-RADIUS_OF_SEMICIRCLE*SIN(P155))","v":-131.64504833522361},{"$f":"IF(SIN(P153)*nn<1,-200,P151+RADIUS_OF_SEMICIRCLE*COS(P154))","v":-200},{"$f":"IF(SIN(Q153)*nn<1,Q151+(-200-P151)*TAN(P155),P151-RADIUS_OF_SEMICIRCLE*SIN(R155))","v":-152.98513425410539},{"$f":"IF(SIN(R153)*nn<1,-200,R151+RADIUS_OF_SEMICIRCLE*COS(R154))","v":-200},{"$f":"IF(SIN(S153)*nn<1,S151+(-200-R151)*TAN(R155),R151-RADIUS_OF_SEMICIRCLE*SIN(T155))","v":-169.13008863107302},"x4,y4",{"$f":"IF(SIN(U153)*nn<1,-200,U151+RADIUS_OF_SEMICIRCLE*COS(U154))","v":-200},{"$f":"IF(SIN(V153)*nn<1,V151+(-200-U151)*TAN(U155),U151-RADIUS_OF_SEMICIRCLE*SIN(W155))","v":-34.125129940468625}]
[]
[null,"IN LAB FRAME",null,"xx=xc+xr*cos(gonia)+YR*sin(gonia),  yy=yx-xr*sin(gonia)+yr*sin(gonia)"]
["X1,Y1",{"$f":"B134","v":149.17828430524099},15.679269490148021,147.72116295183119,26.047226650039551,140.95389311788625,51.303021498850306,129.9038105676658,74.999999999999986,114.9066664678467,96.41814145298089,96.418141452980905,114.9066664678467,75.000000000000014,129.9038105676658,51.30302149885032,140.95389311788625,26.047226650039562,147.72116295183119,"X1,Y1",{"$f":"U134","v":141.30861791809451},{"$f":"V134","v":50.317735462538252}]
["X2,Y2",{"$f":"XC+B147*COS(radiansg)+C147*SIN(radiansg)","v":-0.81448380818292976},{"$f":"YC-B147*SIN(radiansg)+C147*COS(radiansg)","v":2.4280438057496294},{"$f":"XC+D147*COS(radiansg)+E147*SIN(radiansg)","v":-0.81049132575785043},{"$f":"YC-D147*SIN(radiansg)+E147*COS(radiansg)","v":2.3708050859866692},{"$f":"XC+F147*COS(radiansg)+G147*SIN(radiansg)","v":-0.80017830025213477},{"$f":"YC-F147*SIN(radiansg)+G147*COS(radiansg)","v":2.2229511159549302},{"$f":"XC+H147*COS(radiansg)+I147*SIN(radiansg)","v":-0.78879609717130716},{"$f":"YC-H147*SIN(radiansg)+I147*COS(radiansg)","v":2.0597687489303214},{"$f":"XC+J147*COS(radiansg)+K147*SIN(radiansg)","v":-0.77530223155208733},{"$f":"YC-J147*SIN(radiansg)+K147*COS(radiansg)","v":1.8663122698621064},{"$f":"XC+L147*COS(radiansg)+M147*SIN(radiansg)","v":-0.75787408921762311},{"$f":"YC-L147*SIN(radiansg)+M147*COS(radiansg)","v":1.6164515444134364},{"$f":"XC+N147*COS(radiansg)+O147*SIN(radiansg)","v":-0.73268812725273991},{"$f":"YC-N147*SIN(radiansg)+O147*COS(radiansg)","v":1.255369875070862},{"$f":"XC+P147*COS(radiansg)+Q147*SIN(radiansg)","v":-0.689677030239088},{"$f":"YC-P147*SIN(radiansg)+Q147*COS(radiansg)","v":0.63873594496332553},{"$f":"XC+R147*COS(radiansg)+S147*SIN(radiansg)","v":-0.5900435821906681},{"$f":"YC-R147*SIN(radiansg)+S147*COS(radiansg)","v":-0.78967134771190484},"X2,Y2",{"$f":"XC+U147*COS(radiansg)+V147*SIN(radiansg)","v":-0.8006058828019893},{"$f":"YC-U147*SIN(radiansg)+V147*COS(radiansg)","v":2.2290812062448513}]
["X3,Y3",{"$f":"XC+B151*COS(radiansg)+C151*SIN(radiansg)","v":-77.464013320251183},{"$f":"YC-B151*SIN(radiansg)+C151*COS(radiansg)","v":-3.8680362765576275},{"$f":"XC+D151*COS(radiansg)+E151*SIN(radiansg)","v":-77.02510397737673},{"$f":"YC-D151*SIN(radiansg)+E151*COS(radiansg)","v":-7.481091596927401},{"$f":"XC+F151*COS(radiansg)+G151*SIN(radiansg)","v":-75.205211293183467},{"$f":"YC-F151*SIN(radiansg)+G151*COS(radiansg)","v":-16.32308100534479},{"$f":"XC+H151*COS(radiansg)+I151*SIN(radiansg)","v":-72.445807116149723},{"$f":"YC-H151*SIN(radiansg)+I151*COS(radiansg)","v":-24.682186504070469},{"$f":"XC+J151*COS(radiansg)+K151*SIN(radiansg)","v":-68.939019771334912},{"$f":"YC-J151*SIN(radiansg)+K151*COS(radiansg)","v":-32.313982959677737},{"$f":"XC+L151*COS(radiansg)+M151*SIN(radiansg)","v":-64.963731436596717},{"$f":"YC-L151*SIN(radiansg)+M151*COS(radiansg)","v":-39.008168047161249},{"$f":"XC+N151*COS(radiansg)+O151*SIN(radiansg)","v":-60.871404426945233},{"$f":"YC-N151*SIN(radiansg)+O151*COS(radiansg)","v":-44.605518043132641},{"$f":"XC+P151*COS(radiansg)+Q151*SIN(radiansg)","v":-57.031855207113139},{"$f":"YC-P151*SIN(radiansg)+Q151*COS(radiansg)","v":-49.031468830485288},{"$f":"XC+R151*COS(radiansg)+S151*SIN(radiansg)","v":-53.590810904567554},{"$f":"YC-R151*SIN(radiansg)+S151*COS(radiansg)","v":-52.44209286810699},"X3,Y3",{"$f":"XC+U151*COS(radiansg)+V151*SIN(radiansg)","v":-75.297020974141176},{"$f":"YC-U151*SIN(radiansg)+V151*COS(radiansg)","v":-15.976959005044158}]
["x4,y4",{"$f":"XC+B156*COS(radiansg)+C156*SIN(radiansg)","v":-200.04235063750812},{"$f":"YC-B156*SIN(radiansg)+C156*COS(radiansg)","v":-15.608418594489637},{"$f":"XC+D156*COS(radiansg)+E156*SIN(radiansg)","v":-199.3923981141792},{"$f":"YC-D156*SIN(radiansg)+E156*COS(radiansg)","v":-24.926543605725893},{"$f":"XC+F156*COS(radiansg)+G156*SIN(radiansg)","v":-197.75476051241819},{"$f":"YC-F156*SIN(radiansg)+G156*COS(radiansg)","v":-48.404738317784584},{"$f":"XC+H156*COS(radiansg)+I156*SIN(radiansg)","v":-196.08953342842798},{"$f":"YC-H156*SIN(radiansg)+I156*COS(radiansg)","v":-72.278473065737359},{"$f":"XC+J156*COS(radiansg)+K156*SIN(radiansg)","v":-194.39461076751758},{"$f":"YC-J156*SIN(radiansg)+K156*COS(radiansg)","v":-96.577942137492784},{"$f":"XC+L156*COS(radiansg)+M156*SIN(radiansg)","v":-192.6899086807561},{"$f":"YC-L156*SIN(radiansg)+M156*COS(radiansg)","v":-121.01761516161044},{"$f":"XC+N156*COS(radiansg)+O156*SIN(radiansg)","v":-191.0350681815211},{"$f":"YC-N156*SIN(radiansg)+O156*COS(radiansg)","v":-144.74244134822234},{"$f":"XC+P156*COS(radiansg)+Q156*SIN(radiansg)","v":-189.55017453588582},{"$f":"YC-P156*SIN(radiansg)+Q156*COS(radiansg)","v":-166.03080337742526},{"$f":"XC+R156*COS(radiansg)+S156*SIN(radiansg)","v":-188.42677042895957},{"$f":"YC-R156*SIN(radiansg)+S156*COS(radiansg)","v":-182.13662577328284},"x4,y4",{"$f":"XC+U156*COS(radiansg)+V156*SIN(radiansg)","v":-197.82073472933558},{"$f":"YC-U156*SIN(radiansg)+V156*COS(radiansg)","v":-47.458890769403816}]
["REF CIR  LEFT",{"$f":"IF(B154<1,ABS(ATAN(C161/B161)),FALSE)","v":4.9891893515573903E-2},{"$f":"IF(B163,DEGREES(B163),\"NO REFRACTION\")","v":2.8585949303585041},{"$f":"IF(D154<1,ABS(ATAN(E161/D161)),FALSE)","v":9.6821679945469807E-2},{"$f":"IF(D163,DEGREES(D163),\"NO REFRACTION\")","v":5.5474736262418629},{"$f":"IF(F154<1,ABS(ATAN(G161/F161)),FALSE)","v":0.21373208988315853},{"$f":"IF(F163,DEGREES(F163),\"NO REFRACTION\")","v":12.245946696815745},{"$f":"IF(H154<1,ABS(ATAN(I161/H161)),FALSE)","v":0.32836460136676127},{"$f":"IF(H163,DEGREES(H163),\"NO REFRACTION\")","v":18.813905799811124},{"$f":"IF(J154<1,ABS(ATAN(K161/J161)),FALSE)","v":0.43832249621677172},{"$f":"IF(J163,DEGREES(J163),\"NO REFRACTION\")","v":25.114029098860012},{"$f":"IF(L154<1,ABS(ATAN(M161/L161)),FALSE)","v":0.54075818587985247},{"$f":"IF(L163,DEGREES(L163),\"NO REFRACTION\")","v":30.983161788066415},{"$f":"IF(N154<1,ABS(ATAN(O161/N161)),FALSE)","v":0.6323907338032948},{"$f":"IF(N163,DEGREES(N163),\"NO REFRACTION\")","v":36.233320050109917},{"$f":"IF(P154<1,ABS(ATAN(Q161/P161)),FALSE)","v":0.71011045485413904},{"$f":"IF(P163,DEGREES(P163),\"NO REFRACTION\")","v":40.686332051257352},{"$f":"IF(R154<1,ABS(ATAN(S161/R161)),FALSE)","v":0.77456498748440727},{"$f":"IF(R163,DEGREES(R163),\"NO REFRACTION\")","v":44.379304741459968},null,{"$f":"IF(U154<1,ABS(ATAN(V161/U161)),FALSE)","v":0.20908475357796188},{"$f":"IF(U163,DEGREES(U163),\"NO REFRACTION\")","v":11.979673940550054}]
[]
[]
["X1,Y1",{"$f":"IF(show_rays,IF(circle_left,B159,B197),0)","v":149.17828430524099},15.679269490148021,147.72116295183119,26.047226650039551,140.95389311788625,51.303021498850306,129.9038105676658,74.999999999999986,114.9066664678467,96.41814145298089,96.418141452980905,114.9066664678467,75.000000000000014,129.9038105676658,51.30302149885032,140.95389311788625,26.047226650039562,147.72116295183119,"X1,Y1",{"$f":"IF(circle_left,U159,U197)","v":141.30861791809451},50.317735462538252]
["X2,Y2",{"$f":"IF(show_rays,IF(circle_left,B160,B198),0)","v":-0.81448380818292976},2.4280438057496294,-0.81049132575785043,2.3708050859866692,-0.80017830025213477,2.2229511159549302,-0.78879609717130716,2.0597687489303214,-0.77530223155208733,1.8663122698621064,-0.75787408921762311,1.6164515444134364,-0.73268812725273991,1.255369875070862,-0.689677030239088,0.63873594496332553,-0.5900435821906681,-0.78967134771190484,"X2,Y2",-0.8006058828019893,2.2290812062448513]
["X3,Y3",{"$f":"IF(show_rays,IF(circle_left,B161,B199),0)","v":-77.464013320251183},-3.8680362765576275,-77.02510397737673,-7.481091596927401,-75.205211293183467,-16.32308100534479,-72.445807116149723,-24.682186504070469,-68.939019771334912,-32.313982959677737,-64.963731436596717,-39.008168047161249,-60.871404426945233,-44.605518043132641,-57.031855207113139,-49.031468830485288,-53.590810904567554,-52.44209286810699,"X3,Y3",-75.297020974141176,-15.976959005044158]
["x4,y4",{"$f":"IF(show_rays,IF(circle_left,B162,B200),0)","v":-200.04235063750812},-15.608418594489637,-199.3923981141792,-24.926543605725893,-197.75476051241819,-48.404738317784584,-196.08953342842798,-72.278473065737359,-194.39461076751758,-96.577942137492784,-192.6899086807561,-121.01761516161044,-191.0350681815211,-144.74244134822234,-189.55017453588582,-166.03080337742526,-188.42677042895957,-182.13662577328284,"x4,y4",-197.82073472933558,-47.458890769403816]
["CIRCLE RIGHT",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"CIRCLE RIGHT"]
[null,6,6,10,{"$f":"D171","v":10},{"$f":"D171+10","v":20},{"$f":"F171","v":20},{"$f":"F171+10","v":30},{"$f":"H171","v":30},{"$f":"H171+10","v":40},{"$f":"J171","v":40},{"$f":"J171+10","v":50},{"$f":"L171","v":50},{"$f":"L171+10","v":60},{"$f":"N171","v":60},{"$f":"N171+10","v":70},{"$f":"P171","v":70},{"$f":"P171+10","v":80},{"$f":"R171","v":80},null,{"$f":"THETA","v":19.600000000000001},{"$f":"U171","v":19.600000000000001}]
[null,{"$f":"RADIANS(B171)","v":0.10471975511965978},0.10471975511965978,0.17453292519943295,0.17453292519943295,0.3490658503988659,0.3490658503988659,0.52359877559829882,0.52359877559829882,0.69813170079773179,0.69813170079773179,0.87266462599716477,0.87266462599716477,1.0471975511965976,1.0471975511965976,1.2217304763960306,1.2217304763960306,1.3962634015954636,1.3962634015954636,null,{"$f":"RADIANS(U171)","v":0.34208453339088862},{"$f":"RADIANS(V171)","v":0.34208453339088862}]
["X1,Y1",{"$f":"150*COS(B172)","v":149.17828430524099},{"$f":"150*SIN(C172)","v":15.679269490148021},{"$f":"150*COS(D172)","v":147.72116295183119},{"$f":"150*SIN(E172)","v":26.047226650039551},{"$f":"150*COS(F172)","v":140.95389311788625},{"$f":"150*SIN(G172)","v":51.303021498850306},{"$f":"150*COS(H172)","v":129.9038105676658},{"$f":"150*SIN(I172)","v":74.999999999999986},{"$f":"150*COS(J172)","v":114.9066664678467},{"$f":"150*SIN(K172)","v":96.41814145298089},{"$f":"150*COS(L172)","v":96.418141452980905},{"$f":"150*SIN(M172)","v":114.9066664678467},{"$f":"150*COS(N172)","v":75.000000000000014},{"$f":"150*SIN(O172)","v":129.9038105676658},{"$f":"150*COS(P172)","v":51.30302149885032},{"$f":"150*SIN(Q172)","v":140.95389311788625},{"$f":"150*COS(R172)","v":26.047226650039562},{"$f":"150*SIN(S172)","v":147.72116295183119},"X1,Y1",{"$f":"150*COS(U172)","v":141.30861791809451},{"$f":"150*SIN(V172)","v":50.317735462538252}]
[null,"we do a transformation by xc, yc "]
[null,{"$f":"B173-XC","v":149.858284305241},{"$f":"C173-YC","v":15.179269490148021},{"$f":"D173-XC","v":148.4011629518312},{"$f":"E173-YC","v":25.547226650039551},{"$f":"F173-XC","v":141.63389311788626},{"$f":"G173-YC","v":50.803021498850306},{"$f":"H173-XC","v":130.58381056766581},{"$f":"I173-YC","v":74.499999999999986},{"$f":"J173-XC","v":115.58666646784671},{"$f":"K173-YC","v":95.91814145298089},{"$f":"L173-XC","v":97.098141452980911},{"$f":"M173-YC","v":114.4066664678467},{"$f":"N173-XC","v":75.680000000000021},{"$f":"O173-YC","v":129.4038105676658},{"$f":"P173-XC","v":51.98302149885032},{"$f":"Q173-YC","v":140.45389311788625},{"$f":"R173-XC","v":26.727226650039562},{"$f":"S173-YC","v":147.22116295183119},null,{"$f":"U173-XC","v":141.98861791809452},{"$f":"V173-YC","v":49.817735462538252}]
["IN ROTATED","we do a transformation by gonia",null,null,null,"x11=x1cosg-y1singy11=x1sing+y1cosg",null,null,null,null,null,null,null,null,null,null,null,null,null,"IN ROTATED"]
["X1,Y1",{"$f":"B175*COS(radiansg)-C175*SIN(radiansg)","v":150.55126874319743},{"$f":"B175*SIN(radiansg)+C175*COS(radiansg)","v":4.7149843031053802},{"$f":"D175*COS(radiansg)-E175*SIN(radiansg)","v":149.81910612462502},{"$f":"D175*SIN(radiansg)+E175*COS(radiansg)","v":15.159201660469888},{"$f":"F175*COS(radiansg)-G175*SIN(radiansg)","v":144.82559666581022},{"$f":"F175*SIN(radiansg)+G175*COS(radiansg)","v":40.824664401970658},{"$f":"H175*COS(radiansg)-I175*SIN(radiansg)","v":135.45118900198952},{"$f":"H175*SIN(radiansg)+I175*COS(radiansg)","v":65.233097276760802},{"$f":"J175*COS(radiansg)-K175*SIN(radiansg)","v":121.98071976634891},{"$f":"J175*SIN(radiansg)+K175*COS(radiansg)","v":87.642862403202827},{"$f":"L175*COS(radiansg)-M175*SIN(radiansg)","v":104.82348235022704},{"$f":"L175*SIN(radiansg)+M175*COS(radiansg)","v":107.37305040781811},{"$f":"N175*COS(radiansg)-O175*SIN(radiansg)","v":84.500790730531691},{"$f":"N175*SIN(radiansg)+O175*COS(radiansg)","v":123.82416951204327},{"$f":"P175*COS(radiansg)-Q175*SIN(radiansg)","v":61.630139608349154},{"$f":"P175*SIN(radiansg)+Q175*COS(radiansg)","v":136.49636078656434},{"$f":"R175*COS(radiansg)-S175*SIN(radiansg)","v":36.906442144919076},{"$f":"R175*SIN(radiansg)+S175*COS(radiansg)","v":145.00458611194324},"X1,Y1",{"$f":"U175*COS(radiansg)-V175*SIN(radiansg)","v":145.11090315502778},{"$f":"U175*SIN(radiansg)+V175*COS(radiansg)","v":39.817083901740197}]
[null,"we find the point at which the line from x1, y1 meets the radius"]
[null,"the point y at whih it cuts the diameter is (0,h) in lab so it is (-xc, h-yc) in the fist trnsforamtion and it is (htrx, htry) by the second transformation"]
["X=0,Y=h",{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476},"X=0,Y=h",{"$f":"htrx","v":0.81751655253142042},{"$f":"htry","v":1.947836411595476}]
["KLISI out",{"$f":"ATAN((C177-htry)/(B177-htrx))","v":1.8478351719561543E-2},{"$f":"B181","v":1.8478351719561543E-2},{"$f":"ATAN((E177-htry)/(D177-htrx))","v":8.8434671386978927E-2},{"$f":"D181","v":8.8434671386978927E-2},{"$f":"ATAN((G177-htry)/(F177-htrx))","v":0.26367718415115765},{"$f":"F181","v":0.26367718415115765},{"$f":"ATAN((I177-htry)/(H177-htrx))","v":0.43940611733633855},{"$f":"H181","v":0.43940611733633855},{"$f":"ATAN((K177-htry)/(J177-htrx))","v":0.61558811264072166},{"$f":"J181","v":0.61558811264072166},{"$f":"ATAN((M177-htry)/(L177-htrx))","v":0.79217474019444212},{"$f":"L181","v":0.79217474019444212},{"$f":"ATAN((O177-htry)/(N177-htrx))","v":0.9691037393584212},{"$f":"N181","v":0.9691037393584212},{"$f":"ATAN((Q177-htry)/(P177-htrx))","v":1.1463008717500209},{"$f":"P181","v":1.1463008717500209},{"$f":"ATAN((S177-htry)/(R177-htrx))","v":1.323682341144196},{"$f":"R181","v":1.323682341144196},"KLISI out",{"$f":"ATAN((V177-htry)/(U177-htrx))","v":0.25665797519538491},{"$f":"U181","v":0.25665797519538491}]
["DEGREES",{"$f":"DEGREES(B181)","v":1.0587315658891838},{"$f":"B182","v":1.0587315658891838},{"$f":"DEGREES(D181)","v":5.0669334331002345},{"$f":"D182","v":5.0669334331002345},{"$f":"DEGREES(F181)","v":15.107589805755133},{"$f":"F182","v":15.107589805755133},{"$f":"DEGREES(H181)","v":25.176116015602435},{"$f":"H182","v":25.176116015602435},{"$f":"DEGREES(J181)","v":35.270600772737275},{"$f":"J182","v":35.270600772737275},{"$f":"DEGREES(L181)","v":45.388269250014027},{"$f":"L182","v":45.388269250014027},{"$f":"DEGREES(N181)","v":55.5255541755837},{"$f":"N182","v":55.5255541755837},{"$f":"DEGREES(P181)","v":65.678202003443261},{"$f":"P182","v":65.678202003443261},{"$f":"DEGREES(R181)","v":75.841411563558466},{"$f":"R182","v":75.841411563558466},"DEGREES",{"$f":"DEGREES(U181)","v":14.705418757068927},{"$f":"U182","v":14.705418757068927}]
[null,"we find the point at which the line from x1, y1 meets the CIRCLE y =y1+tan(klisi)*(x-x1)  y^2+x^2=R^2"]
[null,{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(B181))^2)-(B177*TAN(B181)-C177)^2","v":5623.1856518148934},{"$f":"B184","v":5623.1856518148934},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(D181))^2)-(D177*TAN(D181)-E177)^2","v":5665.7048304626542},{"$f":"D184","v":5665.7048304626542},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(F181))^2)-(F177*TAN(F181)-G177)^2","v":6031.9665823903124},{"$f":"F184","v":6031.9665823903124},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(H181))^2)-(H177*TAN(H181)-I177)^2","v":6865.4097912148618},{"$f":"H184","v":6865.4097912148618},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(J181))^2)-(J177*TAN(J181)-K177)^2","v":8436.9178786380999},{"$f":"J184","v":8436.9178786380999},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(L181))^2)-(L177*TAN(L181)-M177)^2","v":11403.310534441202},{"$f":"L184","v":11403.310534441202},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(N181))^2)-(N177*TAN(N181)-O177)^2","v":17555.622004863842},{"$f":"N184","v":17555.622004863842},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(P181))^2)-(P177*TAN(P181)-Q177)^2","v":33160.478452786621},{"$f":"P184","v":33160.478452786621},{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(R181))^2)-(R177*TAN(R181)-S177)^2","v":94010.925914765219},{"$f":"R184","v":94010.925914765219},null,{"$f":"RADIUS_OF_SEMICIRCLE^2*(1+(TAN(U181))^2)-(U177*TAN(U181)-V177)^2","v":6009.4344550124551},{"$f":"U184","v":6009.4344550124551}]
["X2,Y2",{"$f":"((B177*TAN(B181)-C177)+SQRT(B184))/(1+(TAN(B181))^2)","v":73.030233223586066},{"$f":"C177+TAN(C181)*(B185-B177)","v":3.2823602831542589},{"$f":"((D177*TAN(D181)-E177)+SQRT(D184))/(1+(TAN(D181))^2)","v":72.823016907458111},{"$f":"E177+TAN(E181)*(D185-D177)","v":8.3322714223147116},{"$f":"((F177*TAN(F181)-G177)+SQRT(F184))/(1+(TAN(F181))^2)","v":70.780146984483807},{"$f":"G177+TAN(G181)*(F185-F177)","v":20.835145699502579},{"$f":"((H177*TAN(H181)-I177)+SQRT(H184))/(1+(TAN(H181))^2)","v":66.582646818895967},{"$f":"I177+TAN(I181)*(H185-H177)","v":32.861079354596029},{"$f":"((J177*TAN(J181)-K177)+SQRT(J184))/(1+(TAN(J181))^2)","v":60.312795000510562},{"$f":"K177+TAN(K181)*(J185-J177)","v":44.027026279002847},{"$f":"((L177*TAN(L181)-M177)+SQRT(L184))/(1+(TAN(L181))^2)","v":52.117520681338078},{"$f":"M177+TAN(M181)*(L185-L177)","v":53.947871907697518},{"$f":"((N177*TAN(N181)-O177)+SQRT(N184))/(1+(TAN(N181))^2)","v":42.209594690750194},{"$f":"O177+TAN(O181)*(N185-N177)","v":62.231265238278901},{"$f":"((P177*TAN(P181)-Q177)+SQRT(P184))/(1+(TAN(P181))^2)","v":30.865980294031672},{"$f":"Q177+TAN(Q181)*(P185-P177)","v":68.430356865329415},{"$f":"((R177*TAN(R181)-S177)+SQRT(R184))/(1+(TAN(R181))^2)","v":18.422686377188086},{"$f":"S177+TAN(S181)*(R185-R177)","v":71.734850895874473},"X2,Y2",{"$f":"((U177*TAN(U181)-V177)+SQRT(U184))/(1+(TAN(U181))^2)","v":70.90356446201919},{"$f":"V177+TAN(V181)*(U185-U177)","v":20.341651654161932}]
["exterior prod",{"$f":"B185*(C177-C185)-C185*(B177-B185)","v":-149.82710179982109},{"$f":"SQRT((B185-B177)^2+(C185-C177)^2)*RADIUS_OF_SEMICIRCLE","v":5815.0704121133867},{"$f":"D185*(E177-E185)-E185*(D177-D185)","v":-144.39465765498232},{"$f":"SQRT((D185-D177)^2+(E185-E177)^2)*RADIUS_OF_SEMICIRCLE","v":5797.3616079283784},{"$f":"F185*(G177-G185)-G185*(F177-F185)","v":-127.88666058584408},{"$f":"SQRT((F185-F177)^2+(G185-G177)^2)*RADIUS_OF_SEMICIRCLE","v":5752.2161646727236},{"$f":"H185*(I177-I185)-I185*(H177-H185)","v":-107.67999358751376},{"$f":"SQRT((H185-H177)^2+(I185-I177)^2)*RADIUS_OF_SEMICIRCLE","v":5707.309612516513},{"$f":"J185*(K177-K185)-K185*(J177-J185)","v":-84.462361302399131},{"$f":"SQRT((J185-J177)^2+(K185-K177)^2)*RADIUS_OF_SEMICIRCLE","v":5664.9948671448228},{"$f":"L185*(M177-M185)-M185*(L177-L185)","v":-58.986623501023587},{"$f":"SQRT((L185-L177)^2+(M185-M177)^2)*RADIUS_OF_SEMICIRCLE","v":5628.5829055205613},{"$f":"N185*(O177-O185)-O185*(N177-N185)","v":-32.023112773923003},{"$f":"SQRT((N185-N177)^2+(O185-O177)^2)*RADIUS_OF_SEMICIRCLE","v":5603.5747560246627},{"$f":"P185*(Q177-Q185)-Q185*(P177-P185)","v":-4.2784648142737751},{"$f":"SQRT((P185-P177)^2+(Q185-Q177)^2)*RADIUS_OF_SEMICIRCLE","v":5602.1608271440937},{"$f":"R185*(S177-S185)-S185*(R177-R185)","v":23.895888831305911},{"$f":"SQRT((R185-R177)^2+(S185-S177)^2)*RADIUS_OF_SEMICIRCLE","v":5667.3919229453331},"exterior prod",{"$f":"U185*(V177-V185)-V185*(U177-U185)","v":-128.62226808374044},{"$f":"SQRT((U185-U177)^2+(V185-V177)^2)*RADIUS_OF_SEMICIRCLE","v":5754.0308802916643}]
["incd=asin(ext)",{"$f":"ASIN(ABS(B186)/C186)","v":2.5768163287273726E-2},{"$f":"B187","v":2.5768163287273726E-2},{"$f":"ASIN(ABS(D186)/E186)","v":2.4909536605763428E-2},{"$f":"D187","v":2.4909536605763428E-2},{"$f":"ASIN(ABS(F186)/G186)","v":2.2234421437389053E-2},{"$f":"F187","v":2.2234421437389053E-2},{"$f":"ASIN(ABS(H186)/I186)","v":1.8868151599469175E-2},{"$f":"H187","v":1.8868151599469175E-2},{"$f":"ASIN(ABS(J186)/K186)","v":1.4910073678774201E-2},{"$f":"J187","v":1.4910073678774201E-2},{"$f":"ASIN(ABS(L186)/M186)","v":1.0480027435810316E-2},{"$f":"L187","v":1.0480027435810316E-2},{"$f":"ASIN(ABS(N186)/O186)","v":5.714796085611833E-3},{"$f":"N187","v":5.714796085611833E-3},{"$f":"ASIN(ABS(P186)/Q186)","v":7.637169589019161E-4},{"$f":"P187","v":7.637169589019161E-4},{"$f":"ASIN(ABS(R186)/S186)","v":4.2163944120667688E-3},{"$f":"R187","v":4.2163944120667688E-3},"incd=asin(ext)",{"$f":"ASIN(ABS(U186)/V186)","v":2.2355281841987065E-2},{"$f":"U187","v":2.2355281841987065E-2}]
["refraction=",{"$f":"ASIN(SIN(B187)/nn)","v":1.7177719245882978E-2},{"$f":"B188","v":1.7177719245882978E-2},{"$f":"ASIN(SIN(D187)/nn)","v":1.6605403574660938E-2},{"$f":"D188","v":1.6605403574660938E-2},{"$f":"ASIN(SIN(F187)/nn)","v":1.4822269054872347E-2},{"$f":"F188","v":1.4822269054872347E-2},{"$f":"ASIN(SIN(H187)/nn)","v":1.2578353069060362E-2},{"$f":"H188","v":1.2578353069060362E-2},{"$f":"ASIN(SIN(J187)/nn)","v":9.9398445035381693E-3},{"$f":"J188","v":9.9398445035381693E-3},{"$f":"ASIN(SIN(L187)/nn)","v":6.9866139047010251E-3},{"$f":"L188","v":6.9866139047010251E-3},{"$f":"ASIN(SIN(N187)/nn)","v":3.8098525360970481E-3},{"$f":"N188","v":3.8098525360970481E-3},{"$f":"ASIN(SIN(P187)/nn)","v":5.091446117711331E-4},{"$f":"P188","v":5.091446117711331E-4},{"$f":"ASIN(SIN(R187)/nn)","v":2.8109249809344402E-3},{"$f":"R188","v":2.8109249809344402E-3},"refraction=",{"$f":"ASIN(SIN(U187)/nn)","v":1.490283153154234E-2},{"$f":"U188","v":1.490283153154234E-2}]
["interior klisi",{"$f":"-B188+ATAN(C185/B185)","v":2.773727842849778E-2},{"$f":"B189","v":2.773727842849778E-2},{"$f":"-D188+ATAN(E185/D185)","v":9.7317283100292515E-2},{"$f":"D189","v":9.7317283100292515E-2},{"$f":"-F188+ATAN(G185/F185)","v":0.27145613708634631},{"$f":"F189","v":0.27145613708634631},{"$f":"-H188+ATAN(I185/H185)","v":0.44588646244202745},{"$f":"H189","v":0.44588646244202745},{"$f":"-J188+ATAN(K185/J185)","v":0.62062369923933225},{"$f":"J189","v":0.62062369923933225},{"$f":"-L188+ATAN(M185/L185)","v":0.79566665525938696},{"$f":"L189","v":0.79566665525938696},{"$f":"-N188+ATAN(O185/N185)","v":0.97099381632062254},{"$f":"N189","v":0.97099381632062254},{"$f":"-P188+ATAN(Q185/P185)","v":1.1465547375387501},{"$f":"P189","v":1.1465547375387501},{"$f":"-R188+ATAN(S185/R185)","v":1.3166016611406819},{"$f":"R189","v":1.3166016611406819},"interior klisi",{"$f":"-U188+ATAN(V185/U185)","v":0.26448513928146605},{"$f":"U189","v":0.26448513928146605}]
["X3,Y3",0,{"$f":"C185+TAN(C189)*(B190-B185)","v":1.2561807256651356},0,{"$f":"E185+TAN(E189)*(D190-D185)","v":1.2228755447232436},0,{"$f":"G185+TAN(G189)*(F190-F185)","v":1.1351594368191442},0,{"$f":"I185+TAN(I189)*(H190-H185)","v":1.035126887701157},0,{"$f":"K185+TAN(K189)*(J190-J185)","v":0.91236423098575159},0,{"$f":"M185+TAN(M189)*(L190-L185)","v":0.74887137396169834},0,{"$f":"O185+TAN(O189)*(N190-N185)","v":0.50751802597665829},0,{"$f":"Q185+TAN(Q189)*(P190-P185)","v":9.2853365160991075E-2},0,{"$f":"S185+TAN(S189)*(R190-R185)","v":0.82788290956098365},"X3,Y3",0,{"$f":"V185+TAN(V189)*(U190-U185)","v":1.1388497723970694}]
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["SIN(REF)*NN",{"$f":"SIN(B189)*nn","v":4.1600582883309797E-2},4.1600582883309797E-2,0.14574561916552595,0.14574561916552595,0.40220180393677729,0.40220180393677729,0.64688676228075392,0.64688676228075392,0.8723139943007604,0.8723139943007604,1.0714954421878267,1.0714954421878267,1.2381706646824688,1.2381706646824688,1.3670267691391567,1.3670267691391567,1.4517991856434069,1.4517991856434069,null,{"$f":"SIN(U189)*nn","v":0.39211851785904561},{"$f":"SIN(V189)*nn","v":0.39211851785904561}]
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