7(9XX=,dd +(I)   1Courier New1Symbol New1Courier New1Courier NewTimesr NewTimes New Roman1Courier New1Courier New1Courier New1Courier NewX VpX VpX VpX Vp?/ <```@@@?~~~~~ԱޱޱԱ޿޿ph (((Pdd{  d<  p {2 <6rF? X?ܮ=DZ@xs)@cFHyc2U@???Z$x#'Vgh@Άut[ɠ @k! 0@cfff ĶQ l@ĮW^@?033333??@^ߛOw?̌???9Ic@Vp@@?@ @@@here?$htU=W@@@@@@8xQqOrLI Z>@@~v$e@?@dddddddddddddddddddddddddddddddddddddddd /2??Uy@$$$Uy@r3܀@e8 v??F?????:YHU\?Az????ݒg?j% XFYp.S <>e< 4tA4001xP(p)yP(p)zp(P)Projection Part 252??@$$$Clxd??WB"T??$%Z%[?$%Z%[?????$%Z%[?Y<lx. t2 hj.4SdU\~D p*cos(S)+Q*sin(S)*sin(S-O)p*sin(S)-Q*cos(S)*sin(S-O)0Source pt in Clane42???$$$??㽅Nۆi'Te'?~v$e@????ݒg?<<T`-(u Bf" CX0 P4 000Qcos(O)Qsin(O)0C Vector Z0 Cge42???$$$??hč?]v5^Ze5,P?9X[????ݒg?\-0OfXz-h Tl-l&<,,D E p*cos(S)+Qsin(S)sin(S-O)p*sin(S)-Q*cos(S)*sin(S-O)0xP(p)yP(p)zP(p)Projection Part 102??@$$$@?8xQqc-3RQ Z>@@qP@RQ????@ݒg? 9g(,'g$,b q,!<tDDDDS DDt*cos(S)+Q*sin(S)*sin(S-O)t*sin(S)-Q*cos(S)*sin(S-O)0-4;44Source Line in C 02??h!@$$$h!@?!5Zd=ʿ'P>R(?Ě?=vJ?{>ZY8????<d+a S `+Og\x+@D`<\ 8@DdI4h. (8 .rs(0)*(bc(0)*ca(S,O)(cos(t)+1)-sa(S,O)sin(t)).rs(0)*(bc(0)*sa(S,O)(cos(t)+1)+ca(S,O)sin(t))bc(0)*bc(0)-rs(0)*rs(0)cos(t)0.0;2piParamet Image Circl52??@$$$ג?$p㴜???7w@=rYT>̘y̋?3ڞiWj?fL?^A????ݒg? L*Hz*Dl*)))q)ED 000ca(S,O)*rs(0)sa(S,O)*rs(0)bc(0)Unit Norm Cir Plane42???$$$??:_} }I o0?(J!?G0韛?!h6!????ݒg?T(P(Lx(Hj(t'p'Tu Ľ u xC(S,O)yC(S,O) bc(0)*bc(0)xP(p)yP(p)zP(p)Center to Image Pt02??@$$$@?8xQqc-3RQ Z>@@qP@RQ????@ݒg? pZ Hklz'$khl' &p<$ j\ lO 4N 8O -t*cos(S)+Q*sin(S)*sin(S-O)-t*sin(S)-Q*cos(S)*sin(S-O)0-4;44Source Line in C 42???$$$??Ш뭶uUr()OU+6?-?????ݒg?~<<<Xl=,_HfLf0* P w 000Q*sin(S-O)*sin(S)-Q*sin(S-O)*cos(S)0C Vector Eta0xyzw+@(\(?JXT@3sΘ?ͬ)V,ɔ@H}8gD?Q?gffffff@?3sΘ??@h!@?@@@h!@h!@@@@@@@@tV@@@@h!@@@@@@@@Jd.dJd.dJd.d (Q*sin(S-O))^2+1+x*x\Math521\@@@h!@h!@@@@@@@@h!@@@@@@@@@@DenE32(x*cos(S)+Q*sin(S-O)*sin(S))/Den(x)xPH 2(x*sin(S)-Q*sin(S-O)*cos(S))/Den(x)      !"#yPJ 1-2/Den(x)p!>qIOi fa-"oHNpA =D ,n!h`zPeG Q*sin(x-y)sin(S)/Den(0)xC( -Q*sin(x-y)cos(S)/Den(0)yC< sin(x)*sgn(sin(x-y))?@@@h!@h!@@@@@@@@tV@@@@h!@@@@@@ca@<`D-cos(x)*sgn(sin(x-y))Math521\@@@h!@h!@@@@@@@@tV@@@@h!@@@@@@sa@PaD1/sqrt(Den(x))rsdbDsqrt(1-1/Den(x))73@$sޏV3@KL3@nI3@cօ3@1-԰3@eߧɲ3@ ~ڴ3@f3@-ބ=3@-X`.3@8` ۽3@43@e*%3@;3@ɬb3@[jH3@GED3@O^3@[!3@k 3@>3@#P3@b9J磜3@,bc3@Projection Polar C Line ---> Circle on Sphere C#pBE@ w;2?gԮ@Times New Roman(x,y,z) = (sin(u)cos(t),sin(u)sin(t),cos(u)))8OaQ*aA7?w?1Courier New % (x,y,z) = (0,0,1)ownloads\@@@8OaQ r,H!xV?]-:{?1Courier New @& (x,y,z) = (xP(p),yP(p),zp(P))a)*(cos(O)+1)-sin(a)*sin(O)),s8OaQyk'+ubHmY]@{fK&?1Courier New & segment (0,0,1)<--(xP(p),yP(p),zp(P)))*(cos(O)+1)-sin(a)*si8OaQpήHa?ZTA@2}aU?1Courier New ' (x,y,z) = (p*cos(S)+Q*sin(S)*sin(S-O),p*sin(S)-Q*cos(S)*sin(8OaQa9a<l11@ޟw?1Courier New h( segment (0,0,0)-->(Qcos(O),Qsin(O),0)),b*sin(a)/sqrt(1-b*b)8OaQwxYlF%A K@E# V ?1Courier New ) segment (p*cos(S)+Qsin(S)sin(S-O),p*sin(S)-Q*cos(S)*sin(S-O)?8OaQ & 1:x?x;Na?1Courier New ) (x,y,z) = (t*cos(S)+Q*sin(S)*sin(S-O),t*sin(S)-Q*cos(S)*sin(8OaQ W$ʁ U?x;Na?1Courier New * (x,y,z) = (rs(0)*(bc(0)*ca(S,O)(cos(t)+1)-sa(S,O)sin(t)),rs( 8OaQ6:A?^? b ?1Courier New H+  (x,y,z) = (xC(S,O),yC(S,O),1-1/Den(0))1-b*b)*sin(A),b*b)8OaQ8 ,4W?K߈?1Courier New ,  segment (0,0,0)-->(ca(S,O)*rs(0),sa(S,O)*rs(0),bc(0))en(0))8OaQx{"͈}b9?E(D?1Courier New ,  segment (xC(S,O),yC(S,O),bc(0)*bc(0))-->(xP(p),yP(p),zP(p))8OaQzBaC~x ۃ@vJRY?1Courier New p-  (x,y,z) = (-t*cos(S)+Q*sin(S)*sin(S-O),-t*sin(S)-Q*cos(S)*si8OaQ.-aB@"s֪ ?1Courier New (.  segment (0,0,0)-->(Q*sin(S-O)*sin(S),-Q*sin(S-O)*cos(S),0),y8OaQcX 8lP?g49?1Courier New @@@h!@