DELL' ACCADTEMIA. 185 



Vili. Evanel'centc fpatio BAMN, leu tl'ia x = o,cen- 



i./i . ">! fin. » 

 tri gravitatis diltantia -^^^^ convertitur 



( 2b^-2x ) ( log. b-i-x — log i ) 



in 1 » quum tamen cvidens fit, diftanriam illatn tunc sequa- 

 ri perpeiidiculo ) quod a pun6to medio originis 13A iplius 

 fpitii cadit ili afynipcotum ES , quod fané perpendicuium 

 rcpciirur = i « lin. ^ . 



IX. Hanc rurfus ambicijuitafeni amoveo ope differentia- 

 tionis tum minieracoris > cuni denomiiutoris , ex qua habe- 



a.lx fin. a 



tur 



2dx ( log. u-^x — log. * ) -4- ^'1 ( ai-t- a.v ) 



rt fin. f ( ^■-H.v ) ... 



— ■ . H«c porro quanti tas in hy- 



( tb-\-2X ) ( 1 4- log b-hx — log. b ) 



pothcù X =: 0, manifefto evadit h a lin. ,, qucmadmodum 

 oporret . 



X. Idem nancifcimur fumpta prò .v quantirate infinite- 

 llma dx : hac enim loco x fubrogara in precedenti formula , 



dcprehcnditur — '"' ^ — , ~ 



C ab-^-idx ) ( log, t-hdx — log. ù ) 

 "''x fin * , , , ~ — , , ^x 



> qua ( OD log. o-*-dx = log. ■+* — 



ai (log- *-»-iv — Irg. *) 



dx"^ dx 

 -t- &c. = log b -^ — ) convertitur in 



adx fin. ^ X j, n^ 



dx 

 4* ( -7- -t- log. 3 — log. b ) 



XI. Tranfeo nunc ad diftantìam exqulrendam centri 

 gravitatis in fpatio infinito BAST ab afymptoto ES . Af- 



fumo itaqne x infinitam in fòrmula — '"' ^ - ,— ^— ' , 



(<'*H-2A.)(log. b-^x -log i) 

 . . f"^ fin. f a fin. ip 



quae evidente e aegcncrat m j.^"!^ = n^gTi ' ^^^^ ^^^ 



ro 



