%6 SOLVTIONES NOVORVM QVORVND. 



TV, etc. fimul fumtas dare vim toflem acce* 

 leratricem qua corpus m fecundum directionem 

 hypotcnufae AC animatur, motuque vniformiter 

 accelerato defcendif, omnes vero particulares fe- 

 cundum GF, NL, RS, TV, etc. fimuliumtas, da- 

 re pariter vim acceleratricem totalem , qua tri- 

 angulum vel fi mauis tptum fyftema retro vrge- 

 tur fecu-ndum directionem horizontali 13 H paral- 

 lelam, ac proin etiam motu vnifoxmiter accele- 

 rato mouetur. His itaque in vnum collectis ha- 

 bebimus has duas progrefliones, erit nempe vis 

 acceleratrix totalis in corpore m fecundum AC, 



-GF-h5xNL-f-SxRS-f-54 xTV H-ctc. 

 Et vis totalis acceleratrix totius fyftematis feu 

 t.rianguli fecundnm DH = | xFN+SxLR-h 

 jjs x ST -f- etc Subftitutis iam valoribu* fupra in- 

 uentis linearum GF, NL, RS, nec non linearum 

 FN, LR, ST, etc. obtinebitur vis prior pro ac- 

 celerando corpore fecundum AC = f -f- J xg -^-* 



_i mm, ?ab+ _, m* _ gab* . . _ . , 



^hh x 7T "^jP c^ -r-etc. Atque vis alter:i pro 

 accelerandp fyftemate fccundum DH — ^ x lf-h 



mm pgA I m s gab> _ 



mm bT^W 7«r-r- etc. Quae duae progielTio- 

 nts funt manifcftie geometricae et defcendences 

 in ratione fAcc nd mbb, adeoq.:e funt fummabi- 

 les : inuenitur nimirum fumma progreftionis pno- 



• SCd C 771 jl 



ns = iw£zm\ ac fiimraa pofterioris — ^zibE: 

 Quod erat mueniendum pro vtriu^que lege acce- 

 leiatioms, 



Co- 



