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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)
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LIB. V. DE RESISTEHTIA CORPORVM.
Balis, requalis est basi eylindri, sic mus, quae ad rem peaesenrem
aequalis cylindro, debec alcicudo
demonstrandam necellaria iudica-
coni eserripla, alcicudinis cylin- muS.
dei; si enim cylindrus, sub aequali
bali, sic criplo longior praedicto
Cylindro, eric eriplus illius; sed co-
nus cuius sic cadem ba(is, e cadem
alcicudo, cum hoc criplo cylindio,
est cylindri Cuberiplus, ve constat
ex Fuclide; igicur hic conus eA
aequalis priori cylindeo; ergo pon-
dus rnius, aequale ponderi alcerius;
ergo conus sub eadem baCI, cum
cylindro, re proprio pondere Fran-
satur, debet habere iriplam cylin-
dei alticudinem.
Sexro, idem dictum sic; de om-
nibus conis, quorum eadem alti-
cudo elle debet, ve proprio pon-
derc Franganeur; cum SC eadem
omnium cylindrorum, quantumuis
diverlam balim habeane: idem
etiam dico, de omni pyramide, quae
est luberipla prilmaris, cinldem b2-
IS, de alcicudinis, reconus est sub-
triplus cylindri.
Septimo, (i vero verrex coni lece.
ruI, de planu sectionis Tursum altiga-
cur, dici porest quancae alcicudinis
esse debeat reliquum Colidum, ve
proprio pondere Frangatur; sc enim
COnUS AFL, cui verrex ACB deci-
ad. L. Cus sc; sicque planum CB Cursum
aftxum; sic cylindrus CMI, debicx
alcicudinis, ad hoc ve proprio pon-
deretrangatur, allumatur infra CB,
Colidum coni CBCFL, aquale prx-
dicto exlindro CM; CEI est alci-
tudo quaelica; accidere aurem po-
cest aliquando, re alcirudo quaesi-
ea cerminetur ad iplam basim FL;
aliquando vero re intra FI 2llu-
menda sic; Sed iam ad celistenciam
respectiuam procedimus, vbi ta-
men aliqua de recte, praemileri-
PROP. XXIV
In vecte, momenta sunt ve distan-
eia a communi fulero: v. 8. Sc vectis
NF, commune Fulcrum vel hypo- Fig. 29.
moclium, re rocant, sic M, distan. Fab. 20
EIX NML, ME; S appendantur in NI,
F, aequalia pondera; dico, momen-
Eum PI, ad IOIEHEU F, eNC VE
NM, adMF; quod demonstro;
Pondus F nicieur deortu ire, per
aEcuM FC, quem profecto decur-
FerC non porest, nili actollat, d
imoucat pondus Il, per aicum IIC;
Pari modo pondus H niricur deor-
Tu IEC; Per aECUI NR, quem
percurrere non porest, nili accollat
Pondus F, per aICum FP; Cuppono
AUTCI AECUS FG, FP, aquales;
itemgue NR, NO, igitur pondus
Frehstit H, ne Scilicet ab HI actol-
latur; ex pondus N, relistic F, ne
parirer acrollatur; sed resistencia
N, est ad reLiStentIa F, VE NO,
ad FP; quia morus, quo debet ac-
colli NI, ab F, est ad morum, quo
debet accolli F, ab HI, VE arcus NO,
ad FP; nam qua proportione immi-
nuicur mocus cinsdem mobilis, im-
minuicur effectus moventis, igirur
_ relistentia mobilis, per aX. 5. Sed
qua proporrione imminuicur resi-
cencia, augerur proporcio maioris
inaequalicaris, agentis, ad relisten-
tiam, per ax. 4. igirur proporrio
vircaris moventis F, est ad relisten-
tiam mobilis N, vE FC, ad NO; d
proporcio mouenris H, ad relisten-
tiam mobilis F, VENO, ad FP; Sed
momentum N, est vis ejuldem,
quarenus comparatur cum relisten-
tia F; e momencum F, est vis eiul-
AAX
detri-