TNTER SE COM?ARANDIS. 31- 



eil, noii (blum ^><s!, fed etiam k<^g, feu ^^^cof.-vi. 



fin.^^S^-Hs-v)) 

 Ex primo quidem valore kzna-r- — — o .TaT (emper 



fit k<^a ob "vi^O: verum vt fit ^<<^, oportet effe 



fin.(45°-l-i^) , ideoque 



K^zCm (45M7i)fm.(45°-Fie) feu i<<cof. ■(e-4-^)-cof. 

 {90°-\-l[^-yi)) feu i<:cof.i(0 -4- -vD-i- 611.1(0-7]). 



Problema 2. 



Propofito ellipfeos arcu quocunque fg, a dato ^^°- *•' 

 pundo p abfcindere alium arcum p^, ita vt horum '^^ 

 arcuum differcntia jg—pq fiat geometnca. 



S o 1 u t i o. 



Dudis applicatis /F , ^G, /)P, ^ Q__ fint abfciffae ' 

 AF=/ AG3=^, AP — p, et AQ^—^, tum a ver- 

 tice a capiatur arcus ak^ qui datum arcum jg quanti- 

 tate geometrica fuperet ; pofitaque abfciifa AK~^,, , 

 ac breuitatis gratia Hziz-aa V[aa — kk) {na~mkk) y 

 Yznaa y[a a -ff)[aa — mff) ; Q-aaV [aa--gg)[aa-mgg) ; , 

 Vz=.aaV[aa~pp)[aa — mpp) et (^—aay [aa-qq) 

 (aa — mqq): erit pnmo : 

 t = fi^, =: °-Vf 5:?*' ; vnde reperitur £; ita Yt fit 



Arc. ^ K - Arc /g- =: -77- 

 Tum vero abfciffa q per problema praec. ita dttermi"^ 

 netur , vt fit : 



Arc. 



