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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 560, page id 779782283:0646
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86C
P ET ZSTC N Y R ACF AFVS
II.
ad momeneum DB, diver (a basiS, ec sicudinem minoris, dico quod pon-
longicudinis, re 8. ad 1. sic ve lacus derum appentorum aequalium, erie
quadrari 1. 2d lacus quadrari 8. ica aequalemomentum: v. 8. Sic cylin-
AB, ad aliam longicudinem, Tub deus DB, sc alius DI, cum diame
qua, _ diaMerro DA, SI AaENOvUS EIODC; Si pondera aqualia appen-
cylindrus Z, momencum huius, eric dantur in F, verique cylindio, cer-
ad momencum DB, vt 8. ad 1. per re momentum ponderis appensi
DEOP. 4r. Ted OmenCuM DC, est. cylindio DB, es ad momentum
ad OenEuM DB, VE 8. ad 1. igitur Ponderis appenli, cylindio DL, ve
nomenca DO, _ cylindri Z, 2d
momentum DB, habent camdem
rationem, ergo Cune aequalia: I1
vero dari cxlindri momeneum sIE
inuS, X cumm co, maius ada quan-
dum; sic momeneum DB, ad mo.
meneum DR, VE 1. ad 4. Hac ve la.
cus quadeati 4. ad lacus quadeari 1.
ita DK, ad aliam minorem longiru-
dinem, Tub qua _ diametrO DC,
hac cylindrus Z; dico momentuin
Z. elle aquale OIeHEO DB: POFIO
in hoc calu longicudo cylindri 2,
est Cubdupla DK: Elinc egregium
corollarium infero, scilicet; momen-
cum cylindri P, cuins diamerer ba-
sis, est Cubdupla alterius R, elfe
aequale momento huius, quando
longicudo colindriP, est ad longi.
cudinem cylindri R, remedia pro-
portionalis, incer coram lonsicudi-
cubus DC, ad cubum DA; cum (IF
nem R, X illius subduplam, r. 8. in-
cer AB, ex Subduplam AB.
PROP. LV
Dato cylindro, cuius resistentiam,
ve cubus DA, ad cubum DC, ica
pondus appensum adaequet, praescin-
longicudo DF, 2d DL; dico quod si
Cic Cylindrus DM, X pondus illud
aquale appendatur in L, momen-
ris aequalis, appensi cylindro DB;
quia momencum DM, eA ad mo-
IENELM DE, VE DL, ad DF, VE p2
minoribus clanis, v. 8. pro nihilo
crasso, determinari potest huins lon-
cum ponderis appensi cylindro
DM, eric aequale nomento ponde.
dendo à pondere cylindri; quod in
habetur, datoque alio cylindro minus
Cet; Sed DL est ad DE, VE cubuS
sirudo; et scilicet pondus, alteri
DC, ad cubum DA; Ced ve cubus
aeguale, appensum, illius resistentiam
DC ad CubIm DA, ita momeneum
ponderis appensi cylindeo DB, ad
momentum aequalis ponderis ap-
Penli DL, igicur momeneum appenst
Cylindio DM, X appensi cylindro
DB, ad idem momeneum, scilicee
appensi cylindro DI, habene eam-
dem rarionem, a proporrionem;
ergo Cunc aequalia momenea; igieur
li momentum appensi cylindio DB.
adae quat resistentiam sibi oppoli-
cam, iea ee luam ad equabie, mo.
momentum, aequalis appensi cy-
lindeo DM, cuius decerminani-
mus longicudinem, quod crac ta-
ciendum: praescindendo scilicer à
Pioprio pondeie.
l2. 
autrestblccol sbestou b lit flltt b
momenta, permutando, praescndeno
adaequet: Sic enim, ve cubus maioris a momenti augmenio, quod a pondere
diamerri, ad minorem, ita lonsitu- ducitur: Probatur quia mOenca,
domaioris, vel crassioris, ad lon- ratione balis, lune in ratione eripli-