as^ DE TAVTOCHRONA 



P^xV- tdx 



pofito ^=k, fi« -^ _^+/^_ = 



a {k—xf ^ 



VB ¥dx pdx _ 



Quum nutem frt 



? -a^Tik-xfds , 

 Ibco ^j \alore prfncipali fubftituto dxV — , caete- 

 IT» eurm partibus haec formula ad ordines fequente§ 

 dsuoluitur , pro kx ordine erit 



, Ck - xf dx 

 F =1 a"" V br — -7- . 



•^ V X 



CJteCT autem iftae formulae pleniores reddantur, ftatua- 

 maa k-^c c et x — z z , fietque 



P=: 'i.d'^ bfdz{cc-zzf , 

 quem valorem nouimus inuoluere fadorem 



{c-c-^ z-zf-^' fiue [c-^zj-^^ 

 Qutim- nunc efEciendum fit , \t 



^YQ.-X)" ia\, J,/ " a J , ?♦ 



fibic poftremnm iaiegrale ita reducatux 



(t4^zzf "" ''^ ^ C^^T; ""^^(TTirir) • 



cuius membrum primnm fponte euan^fcit fefto-s^^zra, 

 at fi in pofterion ponatur a" — ^, (iue «:z:i^, quo^ 



niam 



