X6.585dD{calculate x2 and theta 2 for a two lens system, distances in millimeters x1 is the distance above the optical axis before lens 1 x2 is the distance above the optical axis after lens 2 theta_1 is the angle of the ray before lens 1 theta_2 is the angle of the ray after lens 2 f1 and f2 are the focal lengths for the first and second lenses d is the distance between the lenses u1 is the distance before lens 1 where x1 is defined v2 is the distance after lens 2 where x2 is defined} x1=17 theta_1=0 f1=50 f2=-19 {d=30} theta_2=0 u1=10 v2=1 x2 = (1-v2/f2-((1-v2/f2)*d+v2)/f1)*x1+((1-v2/f2-((1-v2/f2)*d+v2)/f1)*u1+(1-v2/f2)*d+v2)*theta_1 theta_2 = (-1/f2-(-1/f2*d+1)/f1)*x1+((-1/f2-(-1/f2*d+1)/f1)*u1-1/f2*d+1)*theta_1 (,hT5?hl7?6A_p??OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs?OpDhȧOpDhȧs x20%X2uxoQ@?OpDhȧOpDhȧs2-((1-v2/f2)*d+v2)/f1)*x1+((1-v2$V21xo??OpDhȧOpDhȧs1xoLA#1f2"F2xo?OpDhȧOpDhȧsd!Dxo@?OpDhȧOpDhȧsoLAP!f1 F1xo@?OpDhȧOpDhȧsx1@X1xo@?OpDhȧOpDhȧsu10U1xo@?OpDhȧOpDhȧstheta1thetTHE??OpDhȧOpDhȧstheta2thetTHE?OpDhȧOpDhȧs1)/f1)*u1-1/f2*d+1)*theta1theta_1theta2=(-1/f2-(-1/f2*d+?OpDhȧOpDhȧsmtmtmtheta_2culate x2 and theta 2 f?OpDhȧOpDhȧs`cx1rs}  finaldiamnaldiam=(-x1*f2*f1+x1033333@?OpDhȧOpDhȧs+theta1*u1*v2*f2-theta1*v2*f2*distlensistlens=(x1*f1+x1*f2+t@?OpDhȧOpDhȧsa1*u1-theta1*f1)+PP,eX?TRRE <.sYE((sY1((sYP(() Pi Calculate<x}SavexLoad<PziHelpOn?;On? ףp= ף?;On?#GGŧ? ColorA=000000 ColorB=FF0000 ColorC=0000FF ColorD=408000 ColorE=800080 ColorF=004080 ColorG=00FFFF ColorH=00FF00 ColorI=008080 ColorJ=FFFF80 ColorK=808080 ColorL=FF80FF ColorM=C0C0C0 ColorN=800000 ColorO=808040 ColorP=4080FF