SPHAERICO - ASTRONOMICUM. i o 3 



In triiinsulo aVZ cft 

 I - - r=:r—^ , et inde 

 a - - rrra—rpvyz=.n'qz. 



\\\ triangulo b?Z cft 



nv — mjc rh — qz _ ^,.^ /•. 



3 - - -V-=^-7r- exquaflt 

 ^ > _ rrrb—p->.\ny—mx)—rrqz. 

 In triangulo tPZ eft 



cv — f-r rc — 75 



5 - - ^^—''—p^ porroque 



6 - - rrrc—p-v(gY—fx)—rrqz. 



Ex acquiitionibus 2 ct ^ta lit 



7 - - ;vT^— r/)r;— rrr/'— />^'(«^'— w.v)j indc oritur 



ry-+-ny — mx ' 



Ex 2 et 6 emcrgit 

 9 - - rrra—rpvj—rrrc—piigv-fx) exinde fit 



10 



r (a — e) 



Ex hac ct 8 fit 



:£L.=p.v. 



II - - rst-ny-i-nui^ryH-O-^-J ■'= ^"^^ rcdUCatUr Vt 



tandcm hat 



, rjc la—h' {r—l )— f a— cXr— n) 



* •" " " ^ (a — 6}/— ',8— c,TO ' • 



•Hac regula tangens anguli aVZ inuenitur, qno 

 dato duuur et anguli hVZ ct rPZ. Potcfl: autcm 

 regula brcuior fieri hoc medio : Ibrmctur arcuum 

 aZ ct bZ femifumma ct fcmidilfcrentia, illuis (inus 

 fit =:A , hujus fiuus — B ita habctur ^^— «— /;, 

 Formctur pano femifumma et fcmiditFerentia ex 

 arcubus aZ cZ ponaturquc illius finus — C et hujus 

 ~D, vt fit '^irzzui—c. Pouatur tandeui femitan- 



