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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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LLB. V. DE RRSISTEN ZIA CORPORV.
PROP. LZTI.
Momentum exlindri cuius vtra-
que extremitas sustentatur, a cemi-
no fulero supposiro, est duplum mo-
menti cylindri affixi, aequalis basis,
sed sub duplae longirndinis: V. 8. GIE
Eig. 31. Cylindeus AC, gemino Fulcro A,
Fab. 2. e C, Sustenrarus; dico, momen-
cum huius, esse ad momentum cy-
lindri AF, aFIXI, rE AC, est ad AB;
hoc est in rarione dupla, quod ve
melius incelligacur; cercum eAt,
momentum cylindri AC, Pustentati
in A, C, eniri contra Ba(IIM FB;
Tunc enim BC, BA, ad inctar gemi-
ni rectis, quorumrnus circa cen-
EEUm A, alteF CIECA CenErUM C,
roluitur nempe coca vis ponderis,
colligitur in cenero granitatis, B;
igieur momentum illud ponderis
cantum esse porelt, ve adaquer, vel
Superet relistenciam balis BF, qua
cilicet relistie, ne Frangatur; igi.
CHIE MONICNEUIM AC, in hoc Sru 10-
cari, pecendum est, cum à longi-
cudine rectis AB, eum a pondere
Tubduplo AC, ve constat ex dictis;
IOICHELLIM VeTO AFIXI AC, pecituE
ab eadem longicudine AB, X a POn-
dere Cubduplo AF; igieur cum mo-
Menta AC, AF, contra camdem Le-
Sstenciam, sne aequalia, ratione
longicudinis, seu vectis, _t inx-
qualia catione ponderis; Cerre FunE
re pondera; haec vero, re cylindri,
hi, relongicudines AC, AB; 1gi-
cur momentum cylindei AC inni-
Xi, es duplum cxlindri AF, aftixi
ex hoc eriam prop. 61. porissimum
contirmo; cum enim ve vule Cali-
leus aequale sic cylindri AC, mo-
mentum, sine ab rnico Fulcro B,
569
dererur, eius momentum est com-
Policum ex distantia AB, e Cubdu-
plo pondere AC, nempe perinde (c
habet, acque si puncto F, pondus
F. aquale ponderi FC, incubaLet;
Led maius erit momenrum si pon-
dus F, Cc aequale ponderi FC, quam
Cic cancum sic Cubduplum ponderis
FC; aequi s altumacur cylindeus
AF, attixus in BF, eius momentum,
Perinde Le habet, rarione ponderis,
acque s pondus R, Tubduplum pon-
deris AF, vel CF, eius exrremitari
incubaret; isitur momentum AC,
sine ab rno cantum FulcroB, Cve
2 duobus A, C, Custincatur, est du-
plum momenei AF, affIXI.
Hlinc eodem modo, quo dictum
est lupras dato cxlindro AC, in gc.
mino Fulcco A, C, collocaco inue.
niri porest longicudo cylindri, eius-
dem bals, muro affixi, aequalis
cum illo momenti; illa aucem lon-
gicudo, est media proporrionalis,
InEeF EOtam AC, _ lubduplam AB,
re supra demonstraui, quod hic
nOn LepecO.
PROP. LZTTI.
AEgnale pondus, incubans medio
cylindro, cuins vtraque extremitas
sustinetur; a cemino fulero, aequale
momentum facit, cum duobus pon-
deribus, quorum quodlibet sit illius
subduplum, es verique extremitaii,
eiusdem cylindri incubet ab unico
fuloro sustentati: v. 8. GC AC Pusten- ∞
eatus in A, C; Sc pondus incubans Fab. 2
E; Ac idem AC, Fulero B cancum
innixus; sinc pondera K, D, appen-
Ca, vel Cuperpolica, ita re verumque
simul Cumprum, sic aequale ponde-
si F; dico, momencum ponderis
sinc a duobus A, C, Sustineatur; F, esse aequale momentis veriulque
cerre h hoc secundo modo consi- ponderis K, D, sinul Cumpris:
CCC
quod