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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 295, page id 1066518432:0323
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DE VIRTDUS ET MOTTBRS CORPORUM. LIB. II. 295
rithmus rationis BF. ad DF, Ccu FII ad GHI, id cst, l0g.us ratio-
nis, quam graritas habet ad solicitationem acceleratricem in aere diri-
sus per subtansentem FFI, exponit tempus descentus graris in ac.
re per spatium FC, idque a lola graritate. Altera vero ratio AI:
AK (5. 495.) exponit cempus, quo mobile motu ex primitiro aequa-
bili rariato in aere transmietit sparium NC, sed quia ostensum cA
DC: FHI = AI: AK, haec tempora crunt aequalia; propterea tem-
DoreDC: FHI mobile delcribet in aëre, motu mixto motibus ex e
quabili ec accelerato à graritate uniformi deriratis, spatium NC +
FC (inspiciendo utramque AsUram FF9, SE T22.): atque in fincPEX
dicti temporis celeritas mobilis erit III + DF. Rst rerO NC = AN
TII, eE EC =DO =DF, ergO NO + FC = AN + DC -TTI -
DE, atque adeo spatium indicato tempore transmissum erie DC +
AN -FII= DE, ec celeritas, in termino hujus spatii acquisita vel
residua, TII + DF =TII + FII =OTI = AN LFII NC =OII.
Ouae quantitas crelcente tempore AI: AK vel DC: FFI, atque adeo
decrelcente TII aut crescente NC, continue decrescie, quandiu
AN major CA quam FTI; ita tamen, ut minima exclusire, cui lem-
per masis masisque axpropinquatur, Futura sit FFI, aequalis reloci.
tati terminali. Sin vero AlI, seu relocitas jactus, minor fuerit termi-
nali FTI, summa PTI L DE continue crescit, usque dum LII in in-
finitum imminuta cranuerie, alteraque DF Facta fuerit FFI, aequa-
lis scilicet relocitati terminali.
PROPOSTTTO LX. PRODLEMA.
520. Invenire cur vam 2N2T2C, quam crave secundum directionem F18. 123.
2NZR, dato aneulo 2RZMEI, ad horizontem inclinatam celeritate
2N2G projectum, in aëre, juxta proportionem celeritatum resistente,
describet.
Solutio. In puncto 26 excitata normali 262D ad 2M2C, cir-
ca 262D tanquam axem descripta sIE per punctum 2MI l09-mica
2MI2B21. Subtangentem habens 262u, quae juxta praecedentia,
graritatem uniformem seu etiam relocitatem terminalem exponit.
surgatur 2M2u, quae l09.micam in puncto 2M Continget; TUNC PEF
quodlibet punctum er directionis jactus ductis 2r21 e 2r2b rectis
262E, _ ZC2D aequidistantibus, quarum altera tangenti log-mica
in 25 X l09. micae ipsi in 2b occurrat: denique Aat ubique in qua-
libet 2r2l ejus pars 2r2t aequalis homolosX 252b interceptxe inter
FAH.