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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 542, page id 779782283:0628
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54
P AZSICF TR ACF A ZVS I
luci, cum absoluta comparatisicem
ad momencum abColurx; racio ZA,
ad AC est momenti ponderis ab-
Coluri, cum ablolura comparati, ad
momencum ablolura; YA, 2d AB;
est momenei absoluex, ad momen-
cum respectiux, cirra rationem
rectis; icem momenei ponderis ab-
Soluri, cum respectiua comparati,
ad momentum ciuldem respectiux,
denique ratio CA ad duplum AC,
est momenti ponderis respectiuis
cum abloluta comparari, ad no-
mencum absoluri, cum respectiua
comparaci: quonodo vero momen-
cum respectiui, cum absoluta com-
Parari possie, Facile dici, vel re-
Pealentari porelt; si enim admouca.
cur rectis, rel alia porencia, cuius
momencum sc re C A, quo Scilicet
balis AD adducatur, per lineam
TM, cunc momenrum porentiax rel-
Pectiux v. 8. ponderis, cum resicten-
cia ablolura compararur; (2 veco
baliS AD ica avellatur, ve porencia
applicara lareri CD adducar balim
AD, circa laTuS AS, cunc mOmen-
cum porentia ablolura, cum re-
listentia respectiua comparatur.
Ouinco, momencum rehistentia
abloluca quarenus scilicet Ba(Is re-
Sictic, ne auellarur à pondere ablo-
luro, vel porentia absolura, est ad
momentum sclistentia respectiux,
guatenus balisrelistir ponderi rel-
pectiuo, re longicudo prilmaris,
ad subduplum lateris basis; lacus
balis appello illud, quod est per-
pendiculo parallelum; probatur ex
dictis facile; nempe cirra rarionem
rectis, absolura est ad respectiuam
in ratione dupla; led longirudo
rectis imminuit respectiuam, in r2-
eione lonsieudinis rectis, seu pril-
maris, ad larus balis; func etim
momenta in vecte, ve distantiae d
cencro communi; igicur si abColu-
ea est ad respectiuam, cirra ratio-
nem rectis, led cantum rarione
mocus, quem abloluca aequalemm,
inaequaleim respectiua lupponie, in
ratione dupla; e E decreleir adhuc
respectiua, rarione rectis, in ratio-
ne lonsicudinis rectis. seu prisma-
tis, ad lacus basis, cerre ablolura
est ad respectiuam, in ratione com-
polica cacundem rarionum, Ccilicee
Pongicudinis, ad lacus balis, d la-
ceris balis, ad Cubduplum; hioc cA
relonoicudo, ad lubduplum laceris
bals; vel re duplum longicudinis.
ad lacus, quod aurem sc hac Ia-
tio ex praedictis compolita patet; lic
enim AC 2d AC in carionc =. et
AC ad AB in ratione . conipolita
exit =. igitur CA, CA ad AB, in L2-
tione 5. igieur in compolIta ex
his =.
= id est in COMpOLIT ex
GA, ad AC; _ AC ad AB.
Sexro, hinc vides, haec gnacuor.
in eadem proportionc elle, primum
est momentum ponderis appensi
exeremo prilmaci horizoncali, ad
relistentiam respectinam, qua balIs
AD relistic, ne avellaEUE, mOTu
Scilicer inaquali, sccundum est mo-
mencum relistentix ablolurxe, (inc
recte considerara, ad momeneum
relistentia respectiux, ciuldem,
basis, quae rectis AC opera, avelli-
cur. Ccu crahitur: Ferrium elt O-
mencum ponderis respectiui, cum
relistentia respectiua comparati, ad
momentum abloluri, cum abfolura
comparaci, quarcum denique est
momentum respectiui, cum relpe-
ctiua comparati, ad momentum
relistencix abloluex, quatenus haec
est cirra rationem vectis: Alia duo
habenc camdem cacionem, diverlam
EameH