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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 78, page id 779782283:0164
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PHZSICX TR ACF AFYS
I.
CIpCTentuT, non posset res expli- inclinatam e perpendiculareim
cari per criangulum rectilincum, ejuldem alticudinis: Sc enim AGFIg. 8:
led canrum per denriculacum, re perpendiculum; e AF inclinata
in se simili, alias abunde dictum quadrupla AC; motus lune ve li:
sst; sed ad rem nostram redeo.
PROP. XCIZ.
Chordarum aequalium, inagnalis
rensionis pulsararum magis censa re-
ducitur cirins: Probatur Facile, quia
ex maiore vi censionis, sequitur
maior vis porentia morricis, per
PFOP. 62. Led rbi est maior vis po-
Tentix motricis, CAaIOL MOTS;
rbi vero est maior morus, et aequa-
le Sparium, est minus cemporis; ioi-
tur chorda magis renta reducitur
Cicius.
lis lonoina. auio tolstois
puljarae reducuneur sunt in ratione
subdiplicara censionum, permutando:
Ouia cum line vires iOrriCCS VE
tenSOnES; Per pFOP. (.2. nempe ris
morrix, ee vis censionis propor.
EIOnAlIEeL CFCLCMME; SIE alEeTA CenSIO
quadrupla alcerius, v. 8. igieur vis
illa morrix, quae chordae quadeu-
pla censionis inest, est criam qua-
drupla alcerius; igicur effectum ha-
bec quadruplum; per 2X. 4. quia
Ccilicet caula quadruplae, quadeu-
plus effectus competie; igitur illa
chorda Puam reductionem Facie
cempore lubduplo; igicur cempore
aequali duas reductiones Faceret;
igitur est effectus quadrupluS: PEX-
cerca quorie lcumque lune duo mo-
cus, eodem modo accelerati si alrer
mocuum sic quadruplus alcerius;
aequale spatium; lubduplo tempon
re, hoc quadruplo motu decurri-
ci; ve ridere est in moribus, pet
nea permutando; igieur ocus per
AG, est quadcrplus alterius per
AF; igicur li alTuatur AC, aqua-
lis AC, eo tempore, quo decurri-
EUE AO, decurritur AB, sub quadeu-
pla AC, vel AC; igitur sequenci
tempore aequali, decurritur B C,
eripla AB; igituE EOTa AC duobus
temporibus; IgItUE AC, vno can
cum; isieur si morus lunt inxqua
les. _ Spacia aequalia, FempOTL
Cune in ratiore subduplicaca mo-
tuum, permurando; acqui in re-
ductione chordarum aequalium, (ed
inaqualirer cenlarum. Sparia Cune
aqualia, IOEUS VEFO TUNEVE ten
siones; igieur tempora in ratione
Cubduplicata censionum; perimu.
condo.
iror PR O P
Tempora, quibus inata certium
modum, reducuntur chordae agnales;
inaequaliter vense, sunt in ratione sub-
duplicata censionum, permutando:
Probatur Facile, quia chordae cenlae
primo de rertio modo, aque ciro
LeducunEuE, re supra demonstra-
cum est; Cediuxca primum modum
reductionis, tempora Cunt in La-
tione subduplicata FenSIONUI PCt-
mucando; igicur Cunc in cadem ta-
rione, iuxta certium modum.
PROP. C+L
pondera sunc caula rensionis; dixi
choidas
ROP. C.
Tempora, qnibus duae chorda aequa-
Choraarum Tenaru, cinidem lon
sndinis. Sed dindisatenstonis, ten
siones, sunt ut pondera appensa: Duia
ele eadem properc laularum e
efectuum; Per 2X. 4. Sed appenla
rron