DE MOTV GRAVIVM SVPER CVRVIS ctc. 489 



cuius integrale Ua rumtum vt euanefcat pofito a:— o, 

 fi ftatuatiir xzzpy dabit tempus defcenrus per arcum 

 A P, cuius dupium erit tempus motus ab A ad B, 

 quod m nimum effe oportet. Cum igitur fit 



dtzz^rrr- — - — : (i — — ) erit per feritm infiaitam 

 dxV -r 



y{pX-XXy »• ' 4. » r r ' 4. I. Ji r* ' -" 



At pofito poft integrationem xzrp, fit /—l^—irTr 

 denotante tt peripheriam circuli cuiusdiameter :z: Xjj 

 tum vero eft in genere 



Jv{px-xx)- TT ^jyTfxl^)''^^ "y[px-xjo 



quod poftremum membrum fe<ao x;zip cuanefcit, 

 Quare cum fit f^^^^zn ir 



/ _f!ifL_.z= -jiiTrft* 



"f V \p X — XX) t. * * 



/ x^ d X , I. r. 5 _ ^S 

 ■^(px~.xx) — 2. ♦.«" 



f _^1A* — '^-h±J TT ft* 



•f i{px — XX) 3. 4. 6. « r 



etc. 



Quibus valoribus fubftitutis obtinebimus tempus per 

 AP 



— vT" V* ^».» F ^ ,...4.* rr ^ .. ...•.6..2 r3 ^^'*'' 



Tom.XVII.Nou.Comm. Qqq Cum 



