7(9XX=,dd +(I)   1Courier New1Symbol New1Courier New1Courier NewTimesr NewTimes New Roman1Courier New1Courier New1Courier New1Courier NewXyVXyVXyVXyV?/ <```@@@?~~~~~ԱޱޱԱ޿޿ph (((Pdd{  d<  p {2 UAJc?pR/D}K[@JUHHen@ ^\HR[=r߃@???k0倪ީl쥤@m*3@hWʚ>zE0@cfffY'NlG֎@1os۪@?033333??@^ߛOw?̌???9Ic@V@@?@ @@@?@@@@@@0/jq5 u)Dѿ@Am@?@dddddddddddddddddddddddddddddddddddddddd /2??Uy@$$$Uy@r3܀@e8 v??F?????1"B]3\6/D@<Ą+ψC.t sin(u)cos(t) sin(u)sin(t)cos(u)Riemann Sphere52??@$$$c#2W???????????8xd2\XTPwhLpkLv001Projection Origin52??@$$$z<9d*(v|???Nj" B?͂F΀?no?to!?fA #g????&Wv}?to!?͂F?&3wi<3HyD"0sqrt(1-b*b)*(b*cos(a)*(cos(O)+1)-sin(a)*sin(O))0sqrt(1-b*b)*(b*sin(a)*(cos(O)+1)+cos(a)*sin(O))b*b-(1-b*b)*cos(O)Pt Circ on Sphere42???$$$??FW`($6"'v':iHk6Xh?bz>HU\?Az???? wj?p@1[1TOLO1TOlCƈ>I0010sqrt(1-b*b)*(b*cos(a)*(cos(O)+1)-sin(a)*sin(O))0sqrt(1-b*b)*(b*sin(a)*(cos(O)+1)+cos(a)*sin(O))b*b-(1-b*b)*cos(O)Projection Part 152??@$$$ZdS{d??@<NE@0 ?NE@????a@w?NE@,LO:1:11P Ck>cC0(b*cos(a)-sin(a)*sin(O)/(1+cos(O)))/sqrt(1-b*b)0(b*sin(a)+cos(a)*sin(O)/(1+cos(O)))/sqrt(1-b*b)0Image pt in C plane42???$$$??D{N /-5SP ?iZ????? wj? !h0G G'GTy1^G|05cDG000b*cos(a)/sqrt(1-b*b)b*sin(a)/sqrt(1-b*b)0C Vector to Image42???$$$???7?buZ?svg>!T?C~n@\???? wj? F\n1FtO$/b18:FX 1W H=W \DX DX IX 0sqrt(1-b*b)*(b*cos(a)*(cos(t)+1)-sin(a)*sin(t))0sqrt(1-b*b)*(b*sin(a)*(cos(t)+1)+cos(a)*sin(t))b*b-(1-b*b)*cos(t)0.0;2piParametric Source352??@$$$A#f!:]Iب???N>J&d.8DúU]?^)NJ? hX ?Oec????|L\pѰ.}U?^)?`BHlClLKuBBXBXNP\P Xb*sqrt(1-b*b)*cos(A)b*sqrt(1-b*b)*sin(A)b*bCenter Source CircȔ42???$$$??{Do2GʡEx>?%?9v???? wj? EBVBCILȱK.Y 4ZPX 000sqrt(1-b*b)cos(A)sqrt(1-b*b)sin(A)bUnit Norm Cir Plane42???$$$??d#V5\Yay?Lο?j~?|i? Բ_???? wj?8ZB{L NxpF Y b*Y b*sqrt(1-b*b)*cos(A)b*sqrt(1-b*b)*sin(A)b*b0sqrt(1-b*b)*(b*cos(a)*(cos(O)+1)-sin(a)*sin(O))0sqrt(1-b*b)*(b*sin(a)*(cos(O)+1)+cos(a)*sin(O))b*b-(1-b*b)*cos(O)Radius to Source Ptxyzg_"Ð@ ףp= ?JXT@3sΘ?9a Ԝ@9a Ԝ@~ffffff?QQ@?@h!@?@@@h!@h!@@@@@@@@h!@@@@@@@@@@@@O[ O[ O[ Projection Polar Circle ---> C Linercle ---> C GE6ݳ\@Ej@NE/H@Times New Roman (x,y,z) = (sin(u)cos(t),sin(u)sin(t),cos(u)));d \*aA7?%(+xݹ?1Courier New |I(x,y,z) = (0,0,1)ownloads\@@@;d \ r,H!xV?;(?1Courier New (x,y,z) = (sqrt(1-b*b)*(b*cos(a)*(cos(O)+1)-sin(a)*sin(O)),s;d \yk'+ubHmY]@z1{&-?1Courier New Tsegment (0,0,1)--(sqrt(1-b*b)*(b*cos(a)*(cos(O)+1)-sin(a)*si;d \pήHa?ZTA@B%$/֣?1Courier New (x,y,z) = ((b*cos(a)-sin(a)*sin(O)/(1+cos(O)))/sqrt(1-b*b),(;d \a9a<l11@=S!l~?1Courier New segment (0,0,0)-->(b*cos(a)/sqrt(1-b*b),b*sin(a)/sqrt(1-b*b);d \wxYlF%A K@H"΍?1Courier New 0W segment (sqrt(1-b*b)*(b*cos(a)*(cos(O)+1)-sin(a)*sin(O)),sqr?;d \ & 1:x?49 ?1Courier New W (x,y,z) = ((b*cos(a)-sin(a)*t)/sqrt(1-b*b),(b*sin(a)+cos(a)*;d \ W$ʁ U?49 ?1Courier New W (x,y,z) = (sqrt(1-b*b)*(b*cos(a)*(cos(t)+1)-sin(a)*sin(t)),s ;d \6:A?a0?1Courier New XW (x,y,z) = (b*sqrt(1-b*b)*cos(A),b*sqrt(1-b*b)*sin(A),b*b);d \8 ,4W?=,?1Courier New W segment (0,0,0)-->(sqrt(1-b*b)cos(A),sqrt(1-b*b)sin(A),b)@;d \x{"͈}b9?%*?1Courier New W segment (b*sqrt(1-b*b)*cos(A),b*sqrt(1-b*b)*sin(A),b*b)-->(s;d \zBaC~x ۃ@lQIJ?1Courier New @@@h!@