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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 42, page id 1066518432:0070
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42 DE VFRTBDS. E Y NIOTEBVS CORPORDM. LIB: I.
eadem ratione T ad BB, vel permutando, quaelibet lincola in Rou-
ra minore erit ad elementum currae Bb, licur homoloca linea in
figura majore ad tenacitatem T ejusdem currx elementi. OuX Crant
demonstranda..
C OR O L L A R L. U M L.
9+. Ducta, S placet, per verticem A. recta AO arbitrarie magni-
cudinis, axi AC perpendiculari, ac Cuper ca deseripto lemicirculo
APO, agantur AP Parallela elemento Bb, de Ap aequidistans al.
teri currie ec elemento contiguo BB, et jungantur cum lo rectam
AP secans in C tum etiam PO; quibus peractis, crit BC: T = P
AP. NNam (5. 93.) est BC: T = b8: Bb, atque ob parallelaS AP,
Bb et Ap, BB, Sectores scu triangula BbQ _ APO Similia TUINE, aF-
que adeo bs: Bb = PO: AP; ergo etiam BC: T =lQ: AP.
C O R OL L A R. T u M II.
et
95. Ouxlibet recta in figura BOFIF est ad homologam in siou-
ra behf, ut alterutra. ex potentiis pBI rel pBM, guxe elementi Bb
tenacitati Y aequipollent, ad homologum, id est relpondens latus in
triansulo characteristico BMB: hoc est, quaelibet linca in Rigura
majori est ad homolosam in minori sicut. pBL ad BI; vel sICUE pBM.
ad BMI. Nam quia in utraque figura dux guaelibet linexe homolo-
Bx Cune inter sC, sicut Y adt Bb, et quia T ad Bb, sicut pBI ad BL
vel MB, au sicut pBM ad BM, liguet assercio hujus corollarii.
C O R. O. L L A R F H.M. TIII.
96. Si omnes appHCata Potentix BFL currae perpendiculares sint,
Ut BD; PaNCca  d FI contundentur cum puncto D, cranelcenti-
bus CFI, eh in utraque Agura majore ec minore; atque adeo tc.
nacitas currae uibique aequalis erit tenacitati in vertice A, atque
adeo constans seu data. Id est habebitur ubique I = A.
C OR OL L A R Y U M IV
P. AO Tcu anguli sBb, se sinus curritatis in B ad radium; crit
in casu potentiarum curtu perpendicularium una carum BD cuili-
hec currae pinuo asfucata ad tenacitatem sili (5. 96.) constan-
tem
97. Tdcirco, cum (5. 94.) sIt BC: T = PD: AP = An. anguli