i6 MEDITATIONES - 



aDA-aCA— ADB-AB— Jii^rr differentiae inter 



arcnm et chordam. Radius ofcnli in G , pofitoe- 

 lemento Gji vel ds conftante, efl: generaliter ^'Ol— 



^» d X 



2 



(in curuis maxime elongatis vbi dj-zzds)^ — Ergo 



d'x 



in hoc cafu trochoidis fociae maxime elongataevbi 

 dy—ds~- , '^^^— — conftanti , ti\x.nad- x^ zax-x'^ 



:^na dx -+-"°^1^— Ojvnde d^X—^=^^ , adeoque ra- 



2UX — X ^QX X 



dius ofculi —Jy-—''-^^ : ?=£:.4fEJ='»l?:. h. e. radii 



2 2 2 a — X 



d X 2ax — X 2ax — x 



ofculi funt reciprocc vt GH. Sit nunc pondus ten- 

 dens chordam P , pondus chordae ipfms AB, L *, 

 velocitas pundi D cum vibrando venerit in Cri^VS 

 (intell'gendo per S fpatium per quod graue libere 

 defcendens acquirit velocitatem pundi D in C) erit 

 pundi cniuslibet G in H velocitas zzg^VS— ^rfVS , 



adeoque ^^^^^^ ub ^i—^^E^ jyxj—a-x' ^ s x 



a a 



_, ^"^ fJi— — vi viuac particulae chordae G^ vcl Hh 



AJixzax-x 



_2 



in llzz:^^^^x " "^ -^ , id quod integrando habetur 



»S. L 



-^~xa—xV2ax-x-~\-fdxVzax-x^—(pro tota chor- 



o. v^ 



da) t5Llixi'?xD£i^ri:'^l— i L. S i^ quantitati yi- 



' a. AB ■" AB ■^ ' 



rium vinanim totius chordie •, Haec autem efl ae- 

 qualis vi viuae ponderis P defcendentis per -^, ~ 



P X 



