44 DE QFANTIT, TRANSCEKDENT. 



Sicqne pro hoc cafii habebimus iftos valores: 



Sumris ergo tribiis abfciffis k) x\ y^ quibus refpondeant 

 arcus n k\ TIx; 11./, ita vt fit : 



aayifia * — ( w-4- ^)aokk ^ mk*}-{-a ah^{ a* — (w-f- 1 )eayy-^-my*) 



•* — «♦ — mk kyy 



aax-^ia* — (w-f-i)gg?;tr-f-TOfe*)— a a* V(a* — (w-t-Ogax.-c-t-wrr*) 



j ggxVl a * — (7n-»-i)aajy3i-4-77i>i*) — aq;yV(a * — (tti -4-1 )anxx — mx*) 



a* ~mx xyy 



hi tres arcus a fe inuicem ita pendebunt , Yt fit : 

 . His igitur praemiflTis fequeniia problemata refohiamus : 



Problema i. 



Propofito ellipfeos arcu quocnnque ak ^ ab alio 

 ^uouis pundo / abfcindere arcum fg , ita \t difFwren- 

 tia arcuum ak et fg geometrice affignari queat. 



Solutio. 



Dudlis ex pundis k, f, g , applicatis ^K, f¥ , 

 ^G, vocentur abfciffiie AK~ifc ; AF~y; AG— ^, 

 quarum illae dantur , haec vero qiiaeritur ; eruntque 

 .^rcus : 



akzz:U.k\ af—U.f-^ agzzzU.g 

 Ponatur porro breuitatis gratia fecundum §. 49. 



aaV (a*-'{m'^ 1) a a k k-\~mk*) zziK 



aaVia*- (m-^-i^aaff-i-mf) — ? 



aa V {a^—{m -k-^^aagg-^- mg") zz G 

 ac ftiituatur inter ternas abfciflas ifi:a relatio : 



Q — a*-mkkjj7 ^^'' J — o*-7n/2fe|;g ) ^*'* l^ — a*-mjjgg 



quo 



