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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 331, page id 1066518432:0359
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DE VERTBUS ET MIOTTBUS CORPORUM. L 1B. II. 33C
seu = saadu: aa8 = abu = cun (seu factis iisdem substicutionibus,
quae in praecedenti articulo factae Tunt) =sE dy: hh -gy. FIaec enim
quantitas sequatur integrali inrento in ultima periodo articuli prxe-
cedentis, led divilo perf; propterea inveneturt (= s
3108. Y (B + y: B - y) - = 108. Y (B + f: B - f).
574. FEX repertae aequationes reduatxe accuratistime nos ducunt
ad constructionem propolitionis I. XVII. Sinc enim a = G = C, e
quia (secundum hrpothesin 5. 572.) aaq = cBh - eff, 2c ab = 20f,
erunt aa = BB - ff, ec b = 2f. Si itaque in Ag. F30. Fant IM = a,
AM = ;b = f, ad coque TM = b, erit IA = aa + ff = hh, atque adeo
AI = AB = AL, = B, FactaquCMS =u, crit AS = f + 1 =γ, _ L, 5=
hh -7y, neC nOn IM = BB -ff = aa, adcoque l09. Y (Bh -ff: BB-
9y) =l05. V (IN: L52) =108. (IM: L5) =108. (OD: NO) =FI.
In 109. mica BNV, cujus Cubtansens aequatur = Teu a, quia (secundum
hypothesin) a = c = IM = OII.
Pracerea, S AK = AC = AT = B, erit RS = B L y, _ CS = B -y;
creo ratio B Ly: h - y = KS: C5 (rel, quia RS, LS, _ SC in cir-
culo Tunt in continua ratione) = LS2: SC=9A2: AC; atque adco
V(h +y: h - y) = A: AC. Simillimoargumento invenitur Y (B + f:
B - f) =IM: MC =PA: AC. Adeoque = 108. V(B + 7: B -y) -.
108. Y (B + f: B-f) 
AM.
c
108. (PA: AC) - 112
109. (OA: PA). AEqui (5. 549.) aNumta CA ZZ: 109. (OA: PA) =
AMI: AT, erGOXZ.
AM
At
105. (OA: PA), acque adeo x = 108. V (BB
ff: BB - 99) - =108. Y (B + y: B - y) + 5 108. V(h + f: B - f) = 110-
XZ, ut in cicata proxositione L. XVII.
75. Onantum ad alceram (5. 573.) 1 = Z 108. V (B + y: B - y
105. V ib + f: B = f), hxct = XL: AM. Duandoquidem = 108. Y (B +9:
b - 9) - (108. (B + f: B -f):
108. (DA: PA) = X2, adeoque