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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 300, page id 1066518432:0328
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X1S. 124.
300 DE VFRTBUS ET MIOTTBUS CORPORUM. LIB. II.
Sp: bp, CFUnE punCta Y, F, _EC. In CUEVA OPFAtA MTC, quam di-
co eandem esse cum curra 2M2T2C in propositione L X. 5. 510.
constructa, si anguli CME, 262M 2E, Tubtansentes logarithmi.
Carum Do ec 262u, ec denique celeritates jactus MC, e 2N26,
aequales FuerinE.
Demonstr. Sint praeterea Nr ex 2M 2r aequales, et XquabUNEUr
Pariter rt ac 2r21. Jam, quia MCF exponit celeritatem jactus, F C
denotabit relocitarem verticalem ex obliqua MCr deriratam; et
Do vel FO (5. 498.) exponit celeritatem terminalem, erit (constr.)
AI: DH =FO: Da; ec quia s aequalibus. D0 ex FO communis cofi
addatur, provenientes inde DF Ccu IEB et 00 aequales, atque adeo
rectae ck, AB _ AI Parallelae sunE, erit etiam AL: DK = wl: D0-
EC: Do; _ per consequens. al = FC, ex sic ubique sp = rl = 2r21,
cum Mr ec 2Ner angulique CMF, 262I2F (secundum hypo-
chelin) aquEntuE; POErO AD: KD (= MC: 26.) = 2126: 2r2C1, Ci-
60 (5. 492.) Rb: D0 = 2r2b: 2621, Cune enim b 108- mus rationis
AD ad KD in l08- mica ABC, ∞ 2r2b 108. musrationis alteri xequa-
lis 2NI2C ad 2r2C in l0g. mica 2M2B2G. Vel, quia (secundum hy-
POthe(in) D~ = 2621, Het Rb = 2r2b, _ quia 2C,2W: 2r25 (= 262MI:
2r2M =GM: rMI = DA: KA) =Do: RS aEquC 26121 ==D∞, CrIE2Y25 =
Rs _ 5b = 252b; hinc etiam ex aequalibus sp e 2r2l ablatis aequali-
buS sb _ 252b vel 2r2t, remanet bp = 2121; sed constructio praebet
rt: H = sp: bp; Ceu quia r = sp, AE etiam H = bp, erso pariter habe-
bitur H = 212l, et sic ubique, erso curra Flugeniana MTC eadem
eA cum altera 2I2T2C. Quod erat demonstrandum.
D OR OLL A R LU M P.
5F9. Flinc liquet Flugenium suam constructionem nonnihil sim-
eliciorem tradicurum fuisse, (i loco analosix RI: TI =SP: BB
simpliciter jusisset sumere ubique applicatam TL. aequalem homo-
lOs_ BP intercepeae inter l09- micam ABC ex ejus subtentam AC.
 OR OE L A R F W M TT
e2 13.
5.28. Parameter Parabora, Guamme suala accitonem MC c
coleritate hac recta expreca in racuo delcriberet, FOret2. FM.: Du:
Nam, quia celeritas verticalis ex obliqua derirata eA EC, _ gra-
vacas unitormis exponitur per subtansentem lo micx Du, maxima
alti.