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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 334, page id 1066518432:0362
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334 DE VRRTBOS ET NIOTTBOS CORPORVM. LIB. II.
hoc aere eadem accelerationis lege feratur ac in racuo; etenim haec
accelerationis norma extribetur aequatione uW = ex, vel u = V ex
Jam, cum e sic quantitas constans liquet celeritates acquisitas (u) esse
ut (VX) id est, in subduplicata ratione spatiorum percurlorum. Ad
hoc ne quidem necesse est, ut graritas (e) sit constans. seu unifor-
mis, res etiamnum obtinebit, dummodo s datae (InE PeF X e CON-
Ctantes.
Non immorabimur particularibus exemplis illorum casuum, qui-
bus aer graribus resistit in ratione compolita densitatum et reloci-
tatum, rel in composita ratione ex densitatum ratione et duplicata
celeritatum, vel etiam juxta relistentiae legem, quae ex utraque me-
moratarum participat, ad haec enim duntaxat in aequatione ponen-
dus CA exPOnenS m = F, ex c=0 primo, vel b =0, Iccundo, aut
vero utramque b, c, ecc. recinendo certio calu, inde tot relulta-
bunc diver sx aequationes, quochi dirersi calus exisunt.
C A PD T XIA.
De descensu es ascensu cravium in lineis quibuscunque
ut A, postra medii resistentia quadratis cele-
ritatum proportionali.
58T. ERaria, quae in racuo feruntur atque in lineis curvisince
dunt, in quolibet currae puncto, quam accelerato motu
verlabuntur, eam celeritatem acquisirisse censentur, quam acquisi-
vissene, s via brevissima à linca horizontali per initium descentus
in curra ducta, in datum currae punctum, id est, juxta lincam re-
etam horizontali perpendicularem, cecidissent, ut in primo Libro
d. 242. id generaliter octensum. Sed res aliter se habet cum COr-
Poribus, quae in aëre morentur; corum enim celeritates aliter, quam
per quadraturas dx rectificationes currarum exhiberi nequeunt, id
que in Pola hypothesi, qua resittentix aëris quadratis celeritatum
mobilis proportionantur; ut quidem ex sequentibus id dlucelcet.
ltdocec vadet.
582. d.3 eatense ondbnt dus quum tude inscensasade fudsegurat
ascensu describit in lineam rectam, in singulis hujus recta punctis per-