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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 354, page id 1066518432:0382
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354 DE VEREBOS EF MIOTTBUS CORPOROM. LIB. II.
denSIFAS iN MI, UE tangenS anguli AFMI. Vel etiam D = 3AD. rad.:
2. LanG. MFB, rel NMP = 3. AF. AD. rad.: 2. AF. FanG. NMP.
FA rOrO R: Z X (5. 6LT.) =D. MR. FaNG. NME: AB. AD. rad.
vel hoc loco, ubi AF altumenda loco AB in A3. 138.) =D. AF.
CanG. NTME: AF. AD. rad. (Peu substituto ralore iPSIUS D) = 3AF.
tang. NMP: 2AF. FanG. NMP = 3: 2. Propterca etiam R: MX =
3sMFR: 2rad. =3. OLT: 2. MI. Ouxe omnia inventis Bernoullianis
(ACt. TipL. 2713. mens. Febr. P25. 93.) et partim Nertonianis con-
Formia Punt, etsi ex alio fundamento deducta. Loquor de catu
descensus, quandoquidem casus alcentus in circulo impossibilis est,
ut eleganter ab TIlust. Nemtono animadrerlum; etenim foret hoc
calu relistentia ad graritatem, ut = 36II ad 2MF, id est, ut magni-
tudo priratira ad politiram.
C O R O. L L A. R T U M VTI.
677 Corollarium VT. hobis etiam praebet fundamentum inre
niendi constructionem currae projectilium in aëre unitormis densi-
catis, led relictentis in duplicata ratione celeritatum mobilis, poli-
ta Ccilicet, ut ibi, graritate etiam uniformi ex directiones ejus lup-
Donendo parallelas. Nam Facta quadam  = s = 2dmr (T + mm.): m
erit y = AF + sdm: m , e FC = ~ = sdm: mm
ed e El e l. l. Vt. 2220
628. Lroorema, quod in particulari cantum hspochesi resistentia-
rum aeris secundum compositam rationem densitatum d duplicate
relocitatis, Polutum exhibuimus, generalius pertici poterat pro com-
Dolita ratione relistentiarum ex racione densitatum ee quacunque
multiplicata vel submultiplicata celeritatum mobilis, idque tam le-
ri opera, polita praecedenti problematis analvsigcometrica, ut nul-
la mutatioin ea Facienda (IE, praeterquam in Cola curra BB, quae in
trpochesi generaliori non amplius est scala densitatum aeris, sed
curra alterius generis, quod paucis est ostendendum.
x. 138. 679. FAO curra BY ejus naturae, ut existente ejus abscisa BO
aequali ubigue arCUI CUEVA AMI, ordinata ejus OY SE ad R resisten-
tiam aëris in currae puncto MI; Sicut rectangulum datum AB. AD
ad RV2 quadratum relocitatis acquisitx in MI, e haec curra BB gc.
meralitex usurpanda est loco scalae densitatum aeris antea in analysi
DTO.