CIRCJ TAFTOCHRONISMFM. 31 



tegretiir Yt decet, atque ponatiir x — a prodibit ^Aa 

 y — I , /— I quod aequale e^c debet a a lit ergo A rr 

 p^27,- Simili modo, j^-^^ integratum dabit \^^ 

 B.«2y_i./_i — g^2^ ftt igitur B=r7^f^— . 

 Atquc porro prodibit C — ^f^''^^ ^!, j_, , etDzr — — 

 773:^7?'. V=nzr, etc. Datis ergo ^,§,7, <5' etc. quae 

 ex curua BNA nota inueniuntur, determinantur coef- 

 ficientes pro curua quaefita A , B , C , D , etc. 



§. 8. Pro altera parte, quae cft rationalis, efTe 

 debet / y^lV — ^^'a\ fit autem / yfaTZ^) == 2 E V ^ , 

 ex quo prodit Ezr|^. Dcinde J ^ ^—x] ^'^ ~j-^¥a ^ 

 y^, idque aequari debet huic y]aVa^ reperitur ergo 

 F =: 1;^, iimiliter proueniet G =z |;^| ; atgue H =i;^i:2 

 et ita porro. Hac igitur rationc detcrminatis A,B, 

 C , D , etc. cognita erit aequatio pro curua quaefita ds 

 :=zA(/xVx i-Bx(/xV x-i-Cx- dxV x-\-ttc. -}-E(fx . 

 --{-Fxc/x-hGx^ dx-{- etc. Qiiac quanquam in infi- 

 nitum plerumque continuetur, tamen fieri poteft, vt 

 laepe eius fumma pollit definiri , ficciuc inueniatur aequa- 

 tio fmita pro curua quaefita. 



§. 9. Sit ANB linea retSa ad horizontem incli- Fis.a- 

 uata ita vt iit A N : A Q_— n : i feu r zz n t et dr—ndt. 



Ex quo fit /-yil-^re-— T)— /v(4^— ' ^^"^^- - 2« V 

 {a-\- c — t) Conftans "vcro haec ert rz 2 /2 y ( <5' -j- c) po- 

 natur iam t — c prodit tempus defcenfus perEAna// 



l-Jc 4.2cVo 8.2.3.c'Vc I 6 .2. 3. 4.C 3yc 



etc. — 2 « y (? , in feriem y ( «4- c ) refoluta . Corapa- 



retus 



