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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 566, page id 779782283:0652
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56.
DATYSTCF TR ACF A FV5
TI.
ad suam resistentiam proxorcionem: ad momentum BD camdem catio-
Fig. 29. Cic enim cylindeus BD, sic longitu- nem habene, igitur camdem quo-
Fab. 2. dO BF; (IE VE AD, ad AC, ita AO, que habene inter sC.
ad AL; CIEque VE AD, ad AI, ita
AB, ad AC; dico, momeneum cy.
lindri CC, esse ad Cuam relistenciam,
ve momencum BD, ad Cuam; nem-
Demomencum BC, cst ad OeI.
Tum BD, in duplicaTA AC, AD, PeF
prop. 41. id es ve AI, 2d AD; sed
momentum CG, est ad momentum
BO, VE AB, ad AC , PEF PFOD. 49.
num. 8. id est vE AD, 2d AL; er g0
TOMENEUIM BCE, est ad IMOIEMELI
BD; itemque ad MOMenEUm CC,
VE AC, ad AB, eFGO MOMenCA BD,
_x C6, lune aequalia, cum luis sci-
ticer relistenciis comparata; ergo
dato cylindro, de alia longitudine,
_c. quod erat faciendum; alio
modo, &t aeque Facili res haec de-
MONPEFCFUE: SE BD, e alius similis
ZVO. Cub dara longicudine AC; SIE
VE AB, ad AN ica ANI ad AC; dico,
Nono, hinc demum dato cylin-
deo, cui pondus appensum (IC, ita
re momeneum, cum ponderis ap.
Pensi, cum cylindei relistentiam op-
posicam adaequet, decerminari po-
test longirudo exlindri, lub eadem
ba(I, cuius mOmeneu, citca omne
Pondus appentum, relistenciam
Oppolitam adaequer; vide prOP. 44.
quam hic quoque brcuiter demon-
CEro; Sic eylindius CB, cum Pon. Fi8. 30.
dere appenoF, ita remomencum Tab. 2.
adaequet resistentiam; sIc re pondus
Cubduplum CB, ad idem limul e
pondus F, ita longiendo AB, ad
aliam AF, SIEGUC INteE AB, AF,
media proporcionalis AC; dico cy-
lindeum RC, calem else, VE CIE2
pondus appentum, eius momen-
tum propriam reliltentiam ada-
quec; ac proinde rel minimo pon-
cylindrum CO, esse quaesicum; nam dere addiro cxlindeus Frangeruri
inomencum NVC, el ad momentum
CO, VE AC, 2d AHI, peF prOP. 49.
num. S. icemque ad momeneum
BD, VE AII, 2d AB; vel quod idem
est, VEAC, ad AN, PeT PTOP. 60.
quod Facile demonstro, nam mo-
mencum CB line pondere appento
E, est ad momentum eiuldem CB,
cum appen(oF, re Cubduplum pon-
deris CB, ad FOTIM COmpOTICUIM CX
momentum NO, habene candem pondere F, d (ubduplo CB; lunt
rationem, ad OMenCa CC, _E BD;
igitur haec habene eamdem ratio.
nem inter se: S vero longieudo da-
ea lic minor cylindro dato, eodem.
fere modo, proceditur; sic enim
exlindrus dacus NO, longicudo da-
enim momenta re pondera, polica
eadem bali, ex eadem longicudine;
id est vE AB, ad AF; Sed AB eAt ad
AF, re quadearum AB, ad quadea-
EUIM AO, per pFOP. 41. Ced mOmen-
cum cylindri CG, est ad MOMenEUM
r2 AD, SE BD Similis NIC; SIc vE Cylindri CB, ve quadeatum AC7 2d
NTA, ad BA, ita BR, 2d L A, dico
cylindrum ED, illum elle, qui guae-
PIEUE; GUIA LMOIENEU NCE, CA ad
momentum BD, VE NA, ad BA, vel
rEBA, ad LA; Led momeneum
Quadracum AB; id CCE VE AF, ad AB,
Id est remomentum ponderis F, (1-
mul cum inomento CB, ad MOMeH-
cum CB; igitur idem est morien-
cum CG, _ ponderis F cim C B, ad
L D, est ad MIOIEnEUM BD, VE BA, camdem resistenciam; sed hoc vI-
ad L. Ajigicur momenca L. D, et NC, rimum adaequat resistentiam, er 80