-I^ ) 11*7 ( l!^<- 

 qiiamobrem confcqnemur; 



tan<^. ^ f A 4- B + V) rr: '^•ltj+: a?) -4- eof. Cv •— x) -f- c eo/. a 

 ^' ^ <" I ' cof. (a -i~ y) — . cofAy — c) 



Atqiii eft 



coC (/ -I- x) -h cof. (jK - x) - 2 cof. y cof. .V et 

 cof. (.7 — a] — cof, (<z -f- y) — 2 fin. a; fin.j', 



\'nde his valoribns fubftitutis fiet 



Quura igitur trianguiu-m AVB fit datae magnitudinis, 

 fummii angulorum A , J3, V erit cognita, quae fi (Utua- 

 tur I 80° -H 2 3, fiet 



tang. ■ (A 4- B -f- V) = tang. {90 -h$)~^ cot. S, 

 vnde haec orietur aequatio : 



cot. 5 fin. a fin. y — cof. j- cof. x -f- cof, a , 

 qua aequatione indoles curuae iti qua pundum V col- 

 locatur, erit exprefla, 



§. 5. Quum ex hac aequatlone iiidoles huius cur*- 

 vae nondum fatis liquido patefcat, videamus quomodo 

 propius ad fcopum pertingere licebir. Per pundum C 

 ducatur circulus maximus Z C normalis ad A B et iun- 

 gatur CV, tum vero dicatur CVzis et anguhis 2CV-Cj)j 

 eritque ob 



cof C R. cof. V R zz cof. V C, et 



fin. V R =: fin. V C fin. VC R — fin.V C cof.Z C V, 

 cof .V cof ^ — cof. z et 



fin. y =: fin.s cof. Cp, 

 his igitur valoribus in aequatione allata fubftitutis, fiec 



cot. 5 fin.fl fin,« cof. (p — cof. z -H cof. a, 



P 3 qiue 



