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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 580, page id 779782283:0666
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580
PA ZSFCE Y R ACFAFVS II.
eo pondus, quancum momenrum equaleDR; Sed N B, aequalis PD,
Faciar; hoc es quam proportionem
hoc momeneum habeat, ad mo-
mencum eiuldem ponderis Centro
E appensi, vel impolici; dici criam
pocelt quam proporrionem pondus,
daco puncto appenlum, habeac ad
pondus appensum cenero F, re sci-
licet verumque xquale momentum
habeat; haec omnia parene ex di-
ctis: Tlinc daro pondere appenso
in centro F, e dato alio maiori
pondere, inveniri porest in BF,
punctum illud, in quo appendi de-
bcac, ve aquale momentum taciat,
cum priore; sic v. 8. Pondus I, CIF
aliud pondus. X, v. 8. quod Ac ad
Dondus E, reBE, ad BF, craduca-
cur longicudo colindri daci, in li-
neam AC, diuidarur in D, bitariam,
delcribatur Lemicirculus AMG, SIE
2b. 2. PonduS X, adR, vE AD, ad AC;
hac quadrarum DL; SIEque FO,
aqualis AC; duCREUT LE; SIEDP,
media proporrionalis, InteF EL,
EG; Cicque guadracum DK; pro-
ducatIs RP; donec cangnc ciecu-
lum in PI; demmictacur HB; duca-
curque OMI; dico, punctum B, el-
Ce illud. in quo pondus Z collocan-
dum est, ve Faciat iderm mornen-
cum, cum pondere K collocaro in
D; quod Facile demonstro; POn-
dus Z, policum in B, est ad pon-
dusR, policum in D, ve rectangu-
Jum Cub ADC, ad rectangulum lib
ABO; igitur vecumque Facie ae qua.
est media proportionalis, inter AB,
le momentum, re lupra demon-
Srarum est; quod aurem pondus
2E, SIEad _, ve rectangulum, sub
ADC, ad rectangulum Cub ABC
vel BO, eBC; igirur rectangulum
Tub B6, _ BA, vel BO, aequale ese
quadrato, sub BN; id est quadca-
EO, DR; igicur BII, es ad DL, ve
AC, ad AD; igicur ve pondus H
adX; quod erar demonstrandum:
Idem alio modo Calileus demon-
Arac, Ced nolcio an simplicius, de
Facilius.
8. Si cylindrus muro rerimque
aAtgaTUE, _ POnduS II CeNEIO SF2-
uitatis appendatur, vel imponarui,
eriplum est relistentiae momentum
illius, quod eser, li in vresque
exrremitare gemino Fulcro idem cy.
lindrus CultinereTur; (IC v. 8. Cy-
lindeus AD, innixus primo, gemis Fis. 37
10 Fulero A. C, e pondus Kim. Tab. 23
ponatur in F; cum deinde lic idem
Cylindrus AD, cuius reeaque balIS
AB; CD, muro aHIX2 AC, Ve reue.
ea tc in nostrarum aedium cabula
ris; idemque pondus L impOnaTuE,
vel appendarur in E; dico momen-
cum relistentiae, huius rlcimi, esse
eriplum illius primi: quia quando
Custinecur cancum in A, C, Cuperan-
da est cancum reliltentia balis F
qua tancum rehstiE, DE FTANSaTUE,
re pater; isitur pondus impolirum
in L, concra hanc relstenciam ba-
S, CAMEuOdO PUgNAE; aE VerO
cum verimque muro aftigirur, reli-
Ccunc eres bales, CciliceE exFLeME,
ee media; nempe s pondus Praeua-
leac in his cribus necellario Fran-
secur; led relistencia rnius, ieli-
Senrixe alcerius aequalis est, Cune
enim bales aequales; estque caden
demonstro; natm 2L, elt ad I, ve racio rectis verimque; igitur rics
AD, ad AC; vel rCDC, ad FC; bases faciunc eriplam relistenciam;
vel ve quadeatum DI, ad rectangu- Led momentum ciuldem ponderis,
hum Ed i vel ad quadiarum ipsi ad criptam resilleidm, est suberim
Pluim