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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 70, page id 1066518432:0098
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70 DE VERTBOS ET MIOTEBOS CORPORDM. LIB. L.
erit AB Tolicitatio cansentialis, ejusque momentum (5. F32.) Xequa
tur momento relocitacis in N acquisitae, atque adco NNB. Nm vel
Nn = EF. af; e quia (5. 254.) PF= =nZ. Ba, Het F F. af: F, F2 = NB.
Nm: nE. Ba. Vel substicutis lOCONB, e Ba proportionalibus NgeED9
_ locO Am e mL vel nL proportionalibus gr’et h9 vel Ng, inve-
NICEUT PF. af: FF = N9. gr: Ng. D9. Nam quia L. N e. Ln tan-
sentibus g et ns perpendiculares Cunt, anguli NLn e ehs, quem
tansentes continent, necesario aequales Tunt; aeque adco trian-
sula NZm ec ghr ad NV ec g rectangula similia sunt, ac lateribus
Nm eE LIZ vel nE proxortionalia, latera homologa gr et h9, vel
Ng in triansulo ghr. Verum in postrema analogia deletis PF Cx
primo ec secundo, et Pg ex certio de quarto terminis, sic af: R S
=gr: Dg ec permutando af: gr = F F: Dg, id est incrementum crel-
centis LH. es ad decrementum decrescentis D9, licut ipla crelcens
ad decrelcentem, adeoque erit (5. 153.) crelcens LF, ad Cuam pri-
mam magnitudinem AI, sicut decrescentis Dg prima magnitudo
DK ad decrelcentem, et invertendo, AI celeritas jactus cAt ad RF
celeritatem mobilis in quolibet currae puncto N, uc perpendicu
laris Dg ad DR. Propterea erunt sinsula reecangula LL. D9 aequa-
lia dato AI. DR. Oux erant demonstranda.
C OR OE L A R F U M l.
156. Ouia EF: AT = DR: D9, ret EF2: AP = DR: D9, d
H F2 = Ba. nL CFIE B~. nV: AI = DR: D92. CCd Ba. nL: Ia. nL = Ba:
Na =Dg: DN vel invertendo, N0. nL: B~. NL =DN: D9: CrSO ex
dequo e per compositionem rationum invenictur NVa. nL: AI= =DR2
DN: D93, atque adco Na = AIE. DR~. DN: nL. D9; ergo solici-
tatio centralis in quolibet currae puncto N eA uE DN: nL. D9.
SF Celeberrimi riri Joh. Bernoulli, Abr. MOrrEXUS, e Cuido
Grandus inrenerunt, insistentes omnes principio ilti, quod tempora
lacionum in curris sunt areis proportionalia, quod nosnondum Cup.
potuimus; sed in sequenti Corollario ex poliris fundamentis noctris
deducemus.
CO R O L. L_LLaM 11
id eAt FAN = arCA ADN: : AI. DR. Nam (5. T28.) eA EH. ENn =
In; ec Dg. EF. FAIn = Dg. DIn = 2. Trianguli NDn, atqui (5. 155.)