-^^.^ ) 91 ( ^i^- 



circiilarem habere figiir,im, H Problema ita imminetur, vt 

 iam vcl rinns , vcl cofinus, vcl tangcntcs integrorum ar- 

 cuumAH, ini, vel ct^finus et tant^cnrcs dimidiotum arcuum 

 in data ccnfcantur effc ratione. Pro cafu quidcm quo co- 

 finunm ex arcubus A H, BH ratio fuppouitur conflans, 

 circulus maximus Spliaerae fatisfit; nam fi arcus A B ita Ta(, iir 

 in M fcctus intcUigatur, vt fit cof. A M : cof. BM in data Fig. 4.' 

 irt.i ratione , tumque per M dudus concipiarur circulus 

 mnximus normalis ad A B, quodcunquc puncfluin luiius cir- 

 culi maximi H, hanc habcbit proprictatcm, Vt fitcof. AH: 

 cof B H iii data ratione; eft cnim: 



cof. A H : cof B H =1 cof A M cof M H : cof. B M cof. M H 

 z= cof A M : cof B M. 



At fi quaeflio fit de linca curua, pro qua ratio finuum cx 

 arcubus A H, H B efle debcac conftans, ea nequaquam crit 

 circulus; nam fi arcus AB intelligatur bilccflus in C, et 

 iungatur C H, tumque indigitentur arcus A H, B H, A C, 

 CH refpcdiue per litteras x,y, a, c, ct angulus HCB 

 per (p, habcbimus cx triangulo Sphaerico ACH: j 



cof. X — cof. a cof z — fin. a fin. z cof. (p 



et ex triangulo Sphaerico B C H 



cof y — cof a cof. z -+- fin. a fin. z cof. CP, ^ 



qnae aequationes quoque fic repracfcntari poflunt: 



cof. X — cof (<7 — t; ) — 2 fin. a fin. z cof. \ <$>' et 

 cof ^y zr: cof (a — 2) — 2 fin. <? fin z fin. \<^\ fiue 

 corx — cof(<7-s)fin 14^*4-^0^(0 + 2) cof:(p'-, 

 cof. j' — coi.{a-z) cof i Cp' -\- cof {a-{-z) fin. ; (p'- , 



ci ob 



cof x^ — i - fin. .V* — I — w' H- w' cof j-', 



M 2 pc* 



