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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 335, page id 1066518432:0363
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DE VERTBUS ET MOTZDUS CORPORUM. LIB. II. 335
pendiculares excitentur proportionales resistentiis aëris, quas mobile in ho-
molosis curvae punctis subit. Area curvilinea, quae omnes ejusmodi per-
pendiculares continet, aequabitur rectansulo, à recta, quae eravitatem
uniformem exponit, in differentiam abscissarum arcuum descensu es
ascensu descriptorum.
Esto ADB curra descensu mobilis _ BF C ascensu deseripta, Cur- Pig. 134.
rae hujus BFC abscisa CA BFT, illius rero BC, adeoque OFI erit
differentia absciNarum. Fxtensa deinde FOta curra ABC in lineam
rectam ABC, atque in singulis hujus rectae punctis D, crectae sint
perpendiculares DT exponentes relistentiam medii in homologis
currae punctis B, Formantesque sicuram currilineam ATRC, quam
aequari ottendam rec- lo BB in GTI, supponendo rectam BB expone-
re graritatem uniformem.
In eadem DT producta sumatur, ubi DN, quae Policitationem tan-
sentialem graritatis in currae puncto D ex contrali deriratam ex-
DOnet ND = TD excelsus Colicitationis tansentialis gravitatis supra
relistentiam aeris, Tolicitationem acceleratricem mobilis in curra
ADB descendentis. Jam momentum hujus solicitationis acceleratri-
cis, hoc er, (ND - TD.) Dd, vel ND. Dd =TD. Dd, hoc CR, ele-
MENEUM AFCX AMIND = elem. AFCX ATD (5. 5. 132, 484.) aequatue
momento celeritatis mobili in curra puncto Dacquilitae, scu elemen-
to dimidii quadrati ex dicta celeritate acquisita; unde, cum in A
omnia a nihilo incipiane, ex omnia momenta Colicitationis accele-
ratricis aequentur omnibus momentis celeritatis, exIE arCA AMINN
=arCa ATD = dimid. quadr. relocitaris in D, _ arCA AMIIISB.
arCa ATRB = dimid. quadrat. relocitatis acquisEx in B.
Si porro mobile in curra BF C alcendit, resictentia totalis, in quo-
libet ejus puncto P (5. 48T.) exIE NF + TE, e momentum hujusre-
SistenEla FOTalIS sen (NH, + TF) eF =NF. ek + TE. et = elCM. AFCX
MNEC = elem. areX CTF aequatur momento celeritatis decrelcen-
tis mobilique in currae puncto F residux, seu elemento dimidii qua-
drati ex celeritate in F; unde, quia delata NVE in MC, omnia in
nihitum deSIMUNE, CFIE aECA NINEC L area CTF = dimid. quadr.
ex veloc. in E, adlcOque etIam MNISBC L CTRB = dimid. qua-
drato ex celeritate initiali in B. Requi haec celeritas initialis in B,
eadem est cum relocitate acquisita in B, post delcensum mobilis in
CUETA ADB: ErOO AMASB =ATEBA (=dimid. quadeaco celeri-
tatis in B) =OMNSBO FCTRBC, adeoquo tota Rgura resisten-
tiacum ATRC A = AMHSB --CMASB.
AFa
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