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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 359, page id 1066518432:0387
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DE VEREBOS EF MIOTEBOS CORPORDM. LIB. II. 359
Caltem transcendenter e per approximationes. PrOPterCA CA (A, -
aut: b). MI = IV. un Colicitatio accelexaEEIX naVIS.
II. EstO POErO (a, = aW: b) :. M, =N. un = N. SL, ubi SL CAOF - FIB. 143.
dinata alicujus currae CLP sequenti modo inveniendae, existenti
buS AMI, b; MS, u, MIn ipSi AM perpendiculariter insIsteNS, a
Elis Poltis, e quia a3 = au: b = (b = 1). a: b = AS. MIn: AM erit
(a3 = au: b) . M = AS. NIME. M: AMI = AS:,MIN N: ANI =N.
ST, Scilicet A MN Fuerit ad Nn in Subduplicata ratione M ad
N, acque ducta sIc AN, ita ut criangula AST e AMN similia
existant. FIinC, (a, = au: b) . MI = Nun = N. ST: =NF. SML = (CC-
cundum hrpothesin) N. ST, acque adeo ST =SNI =ST . DU-
CaEUF NID angulum rectum AMIN BiseCANS, _E ex D demittatur
DC normalis ad AMI, ex ob anoulum Cemirectum CNTD crunt x-
quales DC. _ CMI, perinde ac SHI _E SV; PFODECrCA HaBCTUT SI =
ST =SM =ST. =SV. Aequi dirila qualibet intercepta TV bi
Fariam in R ductaque DZ, caque producta usque ad occursum B
cum recta AM producta icidem quantum opus c, et hXC DR
etiam per medium O ipsius MIW transibit; ac 5T: =SV: crit =
ASR. VR. ErsOctiam SL =+SR. RV. VCFIIM PFOPTCFSR: MO =
SB: MIB, _ RV: OM = CS: CMI. erit per compositionem ratio-
num SR. RV: MO = ASR. RV, id est, SL: NMI =SB. SC: MB.
NC =SX: MO, descripio scilicet super diametro CB semicircu-
I0 CQB; habemus ergo ST2: NAI =SX: MO; vel permutando
SL2: SX =NNP: MO, TCU SL: SX =NM: MQ; idcircoordina
ex quaeque homolosx curra quaesutx ex Cemicirculi tunc in data
ratione, atque adeo curra CL. P est ellipsis, cujus ordinata MP X
QuatUE MIN.
TIT. Sint nunc Aa spatium certo tempore nari percurrendum,
ac elementum illius spatii ex MS =n celeritas nari acquisita in Ter-
mino spatii Aa, Ss relocitatis elementum, et quia (num. T. hujus)
inrenimus Colicitationem acceleratricem naris eNC, UE D. SI2 POna-
mus cam = NV. ST2: NV. D, vel =SL: D, ubi D, Ceu data magnitu-
do, assumitur ad supplenda homogenea, eritque (5. 484.) momen-
tum Colicitationis acceleratricis seu rec. lum SL. au: D, Cx hac (0-
licitatione ST: D in elementum spatii au, sequale momento cele-
ritatis acquisIEX MIS. Ss Peu rec. lO ex hac celeritate MIS in suum ele-
mentum S5. FIinc, cum sIE SL2 ac: D = NS. Ss vel SL. au = D.
MS. S5, Crit MS. SS: ST, = au: D. EA verO Ctiam ST: SX2 =MP=
rel NM: NIC
ergo ex aequo Md. 65: SX = NIN. au: D. M.