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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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TIB. V. DE RESISTENELA CORPORIM.
tia respectiua, cuinstibet balio, pro- inde se habet atque si pondus pris-
diverto licus quarenus scilicet com- maris AB esser appentum in C; irem-
paracur, cum alia aequali, sic b: lis que momentum AC, perinde se ha-
rio 22. CN, qua cum ica aveilatur ina-
bec, acque si pondus AC, cet ap-
Cab. 2. Qualicer, ve circa NM, voluatur, pentum in D; igieur momenta pris-
INOTIS, quo mOveTUL, hoc cunCO
macum Cune ve momenca ponderum
ADMN menturatur, sIE aurem b2- C. D, Ced momentum C, est ad mo-
Es aequalis NFI, qua cum circa
NL, voluatur, eius mocus, (ub eo-
dem Scilicet angulo, hoc cunco
EKLM, menturatur; led cuneus
EK L. N es dupluS alECTIUS ECMNI,
VE PaTeE; d FOMN est lubquadeu-
Plus taius ADMN; Cunc enim hi
ICHEUI D, VE CA ad DA, catione
rectis; itemque rE C A, ad DA, C2-
rione ponderis; igirur in rarione
duplicata CA, DA; sed duplicatq
CA, DA, est eadem cum duplicata
BA, C A, reparet; ipitur momen-
ta prisinatum, Cub eadem bali, et
duo cunei vecriangula ABN, F. FNI, alcicudine, lunc in duplicara longi-
ITIEUE CUNCUS ADMN eA dupluS
CuIneI FKLN; Suppono enim AE,
F.N aquales; IFCIGUE NML, ML;
Ced motus Cune re cunei; id cA VE
Sparia; e relistentiae, re morus; ioi-
cur relistentia respectiua balis CHF,
est dupla relistentia balis aequalis
NEL; modo Ccilicet vecaque inXFa
HUnC RIEUm COnGdeFCEUE; IGITUF FC-
Sistentia respectiua balium aequa-
lium, Cune re alcicudines, polita ta-
men eadem longitudine prilaris.
PROP. X X XII.
Si prismata sunt diversae longitu
dinis, s eiu(dem basis, sub eadem al-
tirudine momenta sunt in ratione du-
plicaca longitudinum: Sint enim pris-
Fig 23. IaTa AB, AC, Tub eadem bali, _
Fab. 2. balis alcicudine AF; dico momen-
cum prilmatis AB, esse ad momen
cum prilmatis AB, in ratione dupli-
cata AB, AC; hic loquor de mo-
mento, quod est non modo à lon-
sicudine, verum eriam a pondere
iplius prilmaris, praescindendo ab
apenso pondere; probatur autem
haec propolirio; diuidatur AB bi.
Cariam in C; e AC, bitariam in
cudinum; resistentia vires, Cunt in
duplicata longicudinum permuran-
do; re paret ex dictis; dixi pOrro,
praescindendo ab appenso pondere,
nempe hconsiderencur tantum pon-
dera appensa, e praescindaneur d
Pondere prilimacum; momenta lunc
re longicudines; icemque resisten-
rix vires, led permurando; (I vero
considerentur pondera prismarum.
ex praelcindantur appenla, propor-
tiones inomentorum lune ve Cupea
dictumm est; (i denique consideren-
tur pondera, cum prilmarum, cum
appenla aequalia, momenea lunt, in
ratione compolita, ex duplicata
longicudinum, e ex rarione sim-
plici carumdem lonsicudinum; hoc
est in criplicata longicudinum; v. 9.
SIIE pTICIACA AC, AB, Anc ponde-
Fa in B, e in C, appenla aequalia;
dico momentum B esse ad momen-
cum C, in ratione criplicaca AB ad
AC; exempli gracia lic AB dupla
AC; Sc pondus B, duarum libra-
cum; momencum ponderis B, est
ad momentum ponderis appensi
C. in ratione =. Sed momentum
Prilimacis AB, est ad momeneum
D; momencum prilmatis AB, Per- prismatis AC, in rarione . igitur
compo