Á7(9XX=Ùÿÿÿ,dd +Ð(I)   ðÿÿÿ�1Courier Newóÿÿÿ�1Symbol Newóÿÿÿ�1Courier Newõÿÿÿ�1Courier Newðÿÿÿ�Timesr Newíÿÿÿ¼ÿTimes New Romanóÿÿÿ�1Courier Newóÿÿÿ�1Courier Newóÿÿÿ�1Courier Newóÿÿÿ�1Courier NewØX¼y±†VôØX¼y±†VôØX¼y±†VôØX¼y±†Vôÿÿÿÿÿÿÿÿ¿?ÿÿÿ /ÿÿ¿¿ ÿÿ‡‡< àààÀÀÀ   €€€```@@@¿?~ÞÿÿÌÌÿ~ÞÿÞ~Þÿ~~ÿÞÿÿ¿ÿ¿ÿ¿ÿÿÿÿÞÿÞÿÞÿÿ±ÞÔ±ÔÞÔ±ÞÔÞ±Þ±ÔÞÔ±¿ñÞ¿ÞñÞñ¿Þ¿ññÞ¿ñ¿Þÿ–ê–êÿÌÌÌÈpÞÍÞh ‚(À Ô((P„°d Èd{  d<  p {ÿÿ2° ÀÏUAJŸc‰û?pR˜/D}ûü¿éœK”ž[ï@Jñ–¶U×HîÀˆHœßÒenð@� Ó^\»‹ÀûHR[=r߃@€ÿ?€ÿ?€ÿ?k0倪¬™ÀÞ©ðl쥤ì@Ž™m*3™@h“òÖòŠ˜ÂÀWÊš>zE•ØÀ0@âcfff¦ÿ¿Y'NlçGÖŽ@ÿ1osÛª@Ðÿ?033333³þ?ÐÌÌÌÌÌÌû? @¨^ß›OwÖû?ÐÌÌÌÌÌŒÿ?€ÿ?Àþ?ô9¨õIc@¨ô€„Vô› @ú@ÐÌÌÌÌÌÌû?@œ @È@–@€ÿ? @ú@ @È@ @È@¸¾0/âj°•ÀÐèºq5š¦ÀÔý üÿÿÿÿþ¿u)DÑ¿Û@¼×A»mƒ@ ÿ? @dddddddddddddddddddddddddddddddddddddddd /ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ?†U¼‘yäÉ@$$$––†U¼‘yäÉ@r3Ü€ÏÉ@Øeüÿÿÿÿþ¿ÔÕ8øÿÿÿÿþ¿Ôý üÿÿÿÿþ¿v?ÿÿÿÿÿþ?‰Fþÿÿÿÿþ?€ÿ?€ÿ?€ÿ?€ÿ?ê1°"B¼]3\6/D¢�@”�<†�Ä„+¼ÏˆèC.ðÀ�à•�t‡� sin(u)cos(t) sin(u)sin(t)cos(u)Riemann Sphere5ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ? À @$$$––õ�ÇÅcÁåü¿#2W£îÓÙØÿ?€ÿ?€ÿ?€ý¿€ý¿Àþ?€ý?€ý? ÿ?€ÿ?€ÿ?€ÿ?€ÿ?8x�d²2\¡ŒX“ŒT…ŒPwŒ°hŒLp�k�LvŒ001Projection Origin5ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ? À @$$$––z<Ö9d*(�þ¿vô¤–|´œÿ?€ÿ?€ÿ?Nöj"» Ùü¿²ÛíÿèÞBÐý?Í‚Fê΀þ?ÙüÊn¢o“ý?Ùíöto!èþ?fA #õg€ÿ?€ÿ?€ÿ?€ÿ?È&àWv}›ú?Ùíöto!¨þ?Í‚FêÎÀþ?&3´¡‹°“‹¬…‹¨w‹i‹<3¨ŒHy‹D"Š0sqrt(1-b*b)*(b*cos(a)*(cos(O)+1)-sin(a)*sin(O))0sqrt(1-b*b)*(b*sin(a)*(cos(O)+1)+cos(a)*sin(O))b*b-(1-b*b)*cos(O)Pt Circ on Sphere4ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ?€ÿ?$$$––€ÿ?€ÿ?FW`¶ž±ÄÑù¿š($6ê"Èü¿'vî·':i–þ¿H€k¾6Xh‘ü?bz>HU\�ú?åô¤Aøz›þ?€ÿ?€ÿ?€ÿ?© ÑwjéÔü?p@1Ü[1T¦OL±O”Ö1ÐàŠTßOlÆC€Æˆ>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 15ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ? À @$$$––¤åºZdœ²æÿ¿‡ŒS{ádÖü¿€ÿ?€ÿ?ÒØ@<Åû¿ã¼N„Eš@€ý¿ÌÉï0 ù»Îý?ã¼N„Eº@€ý?€ÿ?€ÿ?€ÿ?—“ßa@òw�ü?ã¼N„Eª@,™ŠLêOÈÝ:œË1°Ø:”ž1œ“1P Ck>ÀcC0(b*cos(a)-sin(a)*sin(O)/(1+cos(O)))/sqrt(1-b*b)0(b*sin(a)+cos(a)*sin(O)/(1+cos(O)))/sqrt(1-b*b)0Image pt in C plane4ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ?€ÿ?$$$––€ÿ?€ÿ?èD{N /¯ÿ¿-5S¶šü¿š™™™™™™þ¿“P³ ýÐþû?ói²ZÂÂÓÿ?š™™™™™™þ?€ÿ?€ÿ?€ÿ?© ÑwjéÔü? !Šhú0ÀG G'GTy1¬^G|05cDØG000b*cos(a)/sqrt(1-b*b)b*sin(a)/sqrt(1-b*b)0C Vector to Image4ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ?€ÿ?$$$––€ÿ?€ÿ?ÄÝÓ?7œØù?bºuéZ‹«éý?sÑvžîg>šû¿‘!Ý—T©ü?Cçâ~Àn·@û\ãèÎÔþ?€ÿ?€ÿ?€ÿ?© ÑwjéÔü? òF\n1èØFtºO¨$/üb18Ô:ôóF<ÅE€°X 0sqrt(1-b*b)*(b*cos(a)*(cos(O)+1)-sin(a)*sin(O))0sqrt(1-b*b)*(b*sin(a)*(cos(O)+1)+cos(a)*sin(O))b*b-(1-b*b)cos(O)0(b*cos(a)-sin(a)*sin(O)/(1+cos(O)))/sqrt(1-b*b)0(b*sin(a)+cos(a)*sin(O)/(1+cos(O)))/sqrt(1-b*b)0Projection Part 20ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ?€À€@$$$––€À€@€ÿ?¸¾0/âj°•ÀÐèºq5š¦Àš™™™™™™þ¿u)DÑ¿Û@¼×A»mƒ@š™™™™™™þ?€ÿ?€ÿ?€ÿ? P†A¢K¼ð.0bKð™K,VK@”Kt.L `žU DtW ¨ÙV H‚W èX @ÙV (b*cos(a)-sin(a)*t)/sqrt(1-b*b) (b*sin(a)+cos(a)*t)/sqrt(1-b*b)0-4;4Image Line in C ?0ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ?Àh!¢ÚÉ@$$$––Àh!¢ÚÉ@€ÿ?–Àˆ|Æ=Èþ¿xžåC*aÌü¿w(Ð'ò$éŠþ?3XxhÓš‡ý?j(zÈœ/Óþ?߉vR~R…ÿ?€ÿ?€ÿ?€ÿ? €�JÈ®J¼J  F$KÈzJä K¼ X ¬>X è1W H=W \DX ÄDX IX 0sqrt(1-b*b)*(b*cos(a)*(cos(t)+1)-sin(a)*sin(t))0sqrt(1-b*b)*(b*sin(a)*(cos(t)+1)+cos(a)*sin(t))b*b-(1-b*b)*cos(t)0.0;2piParametric Source –35ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ? À @$$$––ÝAî#fýµü¿!Ž:»]Iبÿ?€ÿ?€ÿ?N>J&d.8‚þ¿Dú¤÷U]€û?ž^)ËÇŠþ?€“�’ ™ Žø¿hX—ô¾ª �þ?O¯”eˆc…ÿ?€ÿ?€ÿ?€ÿ?œ|”LÈ\p„ý¿Ñ°.é}U ý?ž^)ËÇÊþ?`ÊBHlClLK´uBžBXåBXNˆßP\P ÈX‡b*sqrt(1-b*b)*cos(A)b*sqrt(1-b*b)*sin(A)b*bCenter Source CircÈ”4ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ?€ÿ?$$$––€ÿ?€ÿ?�{§D°£ý¿o›2•­óæ�ú¿GƒÀÊ¡E¶û¿x»>­©îù?é’%­�ÝÅý?³9´Èv¾Ÿúþ?€ÿ?€ÿ?€ÿ?© ÑwjéÔü? üÂEéB�VBðüCILȱKÊ.Y 4Z‡PñX 000sqrt(1-b*b)cos(A)sqrt(1-b*b)sin(A)bUnit Norm Cir Plane4ÿÿÿÿ2ÐÌÌÌÌÌÌü?€ÿ?€ÿ?$$$––€ÿ?€ÿ?d#V5´\ “ý¿§’šYayŽý?ÛLÀ• ³Î¿þ?†®öÎj‰~Šû?î|€§†ið°þ? Ô²Ù_ÆËþ?€ÿ?€ÿ?€ÿ?© ÑwjéÔü?8ZBœ{L˜à‡˜ N¼x‡pF‡ °‡ðY Àb‡¸*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 Ptxyz À À À À À À À À À À À À À À À À À À À Àgæ_Ð"¼Ã�@ ×£p= ×ãþ?›J»¢XTø­@3sóÛë›Î˜ÿ?š9½aÐ Ôœ@’9½aÐ Ôœ@~ffffffæÀÀÿ?Q¸…ëQ¸ž@€ÿ? @Àh!¢ÚÉ@€ÿ? @ @ @Àh!¢ÚÉ@Àh!¢ÚÉ@ @ @ @ @ @ @ @Àh!¢ÚÉ@ @ @ @€@ @ @ @ @ @ @ @ OØ [ Œ OØ [ Œ OØ [ ŒProjection Polar Circle ---> C Linercle ---> C ØGE·6³ŒòÀ”ݳ\Ôí@öæïEjª²@¬N¬ÃE/HÕ@èÿÿÿ¼Times New Romanÿÿÿÿ (x,y,z) = (sin(u)cos(t),sin(u)sin(t),cos(u)))ÿÿ£;ðd \îÀÿ�‡ä*æ˜ÀaA¢Ç7ªÿ?ñ%‰(+xݹþ?óÿÿÿ�1Courier New |�Iþÿÿÿ(x,y,z) = (0,0,1)ownloads\ @ @ @ÿ£;ðd \îÀ �r,÷ÿšÔÀêH!xºVÄâÿ?¯«;Ò(µ…²þ?óÿÿÿ�1Courier New œˆþÿÿÿ(x,y,z) = (sqrt(1-b*b)*(b*cos(a)*(cos(O)+1)-sin(a)*sin(O)),s£;ðd \îÀyk'+‚u…�ÀbHmY]œ±¢@z1î{&ò-«þ?óÿÿÿ�1Courier New Tˆþÿÿÿsegment (0,0,1)--(sqrt(1-b*b)*(b*cos(a)*(cos(O)+1)-sin(a)*siÿ£;ðd \îÀÇpήçHa‘À�?ZTAŸ@B· %$/Ö£þ?óÿÿÿ�1Courier New ˆþÿÿÿ(x,y,z) = ((b*cos(a)-sin(a)*sin(O)/(1+cos(O)))/sqrt(1-b*b),(£;ðd \îÀa9Ña<þÀ‘l1Ð1‰@=SÏ!l~œþ?óÿÿÿ�1Courier New Ĉþÿÿÿsegment (0,0,0)-->(b*cos(a)/sqrt(1-b*b),b*sin(a)/sqrt(1-b*b)ÿ£;ðd \îÀwxYlF%ˆÀA K´„@”H¸"æÎ�þ?óÿÿÿ�1Courier New 0òW þÿÿÿsegment (sqrt(1-b*b)*(b*cos(a)*(cos(O)+1)-sin(a)*sin(O)),sqr¿?£;ðd \îÀð & Ì1:ÛÀÀ˜ˆx­¯ÿ?è4á9Š �Ûþ?óÿÿÿ�1Courier New èòW þÿÿÿ(x,y,z) = ((b*cos(a)-sin(a)*t)/sqrt(1-b*b),(b*sin(a)+cos(a)*¦;ðd \îÀ —Wš$ÄÊ�ÀÙê UÕÑÿ?è4á9Š �Ûþ?óÿÿÿ�1Courier New  óW þÿÿÿ(x,y,z) = (sqrt(1-b*b)*(b*cos(a)*(cos(t)+1)-sin(a)*sin(t)),s ÿ¦;ðd \îÀðõº6 :ØÀ“�‘èA¸ñŸÿ?ÇaÝ0œ’Ãþ?óÿÿÿ�1Courier New XôW þÿÿÿ (x,y,z) = (b*sqrt(1-b*b)*cos(A),b*sqrt(1-b*b)*sin(A),b*b)¯;ðd \îÀ8Ô ž,›Àþø4ÚW™ÿ?­Ž=€×,˜«þ?óÿÿÿ�1Courier New õW þÿÿÿ segment (0,0,0)-->(sqrt(1-b*b)cos(A),sqrt(1-b*b)sin(A),b)Ž@ÿ¦;ðd \îÀx{Ô"Ìå˜À͈}b9Ž ‰ÿ?%¥ÔÑ*õšŸþ?óÿÿÿ�1Courier New ÈõW þÿÿÿ segment (b*sqrt(1-b*b)*cos(A),b*sqrt(1-b*b)*sin(A),b*b)-->(sÿ¦;ðd \îÀz„ÒBaC¢À~x öÛƒÑ@lášQIJŒÿ?óÿÿÿ�1Courier New þÿÿÿ À @ À @ @Àh!¢ÚÉ@