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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 64, page id 779782283:0150
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PF YSTCH YRACTAFVS
runcta cendantur aequalicer, de hiberi porest, si mocus puncti F
duo inFra.
PROP. L. Z II.
Mlocus extremi puncti mobilis
chordae tensa, est ad morum puncti
extremi mobilis einsdem chorda ma-
eis tensae, et vis tensionis onins, ad
vim tensionis alterius: Juia cadem.
eli proporcio caularum e effectuu
per axiom. 4. Ccd mocus extremi
punci est effectus, vis censionis,
qua Scilicer chorda censa Ce redu-
cic, eAt caula, per ProP. 53. isitur
eadem est pioporcio motuum ee vi-
rium, isieur e censionum: Ced vi-
res tentionis Cune re excesus ten-
GIOILIM, IGIEUE MOTUS exEECIO-
cum punctorum. Cunc re praedicti
excellus.
PROP. LZ III
Frinc se reducit chorda AB, ten-
sacum in ADd, tum in AF, eodem
tempore: Nepe LI IOTUS PUIE VE
linex DO, EHL, aequali tempore
E154. AenE; quia motus per DC, est mi-
NOT OTI Per FFZ, in cadem pro-
porcione, in qua DG, eA minor
FFI; isitur aquali rempore decur-
Funtur; quod enim deest puncto
O, catione morus, deest eriam Fa-
tione sparii; et licet morus F, Cu-
PeTet motum D, habet camen ma-
ius spacium decurrendum, in Ca-
dem proportione, in qua est maior
morus; igicur maiori spatio, maioe
mocus accidir; minori spatio, mi-
nor mocus; in eadem Ccilicet pro
porrione; ica ve tantum hinc de-
trahacur spario, quantum moruii
illinc rero cantum morui accedat,
quancum spatium accrescie: Led ve
hoc ad oculum parcat, luppolira
sencencia Cidlilei, quae phylice ad
Per F FI, quando concrahieur A F,
in AHI, est ad mocum puncti D.
PCFDG, VEF II, ad DC, id est
duplus v. 8. igitur eo tempore, quo
D decurrit D N, v. 8. F decurrir
E. M duplam DN; X si secundo
tempore punctum D decurrit NO,
eriplam DN, CCKEC F decuTrIEM FI
duplam, NVC, _ triplam P M:
nam in eadem proportione acce-
Leratur reerque morus: Dices in
hac acceleratione non seruari pro-
sressionem Calilei, qua comperie
cancium accelerarioni rniformis
Respondeo etto, in quacumque
camen prooressione Aac haec ac
celerario, lemper eodem tempore;
duplum in F II decurritur, e sub
duplum in DO, Pari modo in FI.
xriplum decurricur: hinc exregium
corollarium, s quod aliud, cduei
Porelt, Scilicet omnes reductiones
ciuldem chordae cenla elle aque
diucurnas, id est, codem tempore
fieri, quod nunquam hactenus
fuic demonstracum, Calcem quod
Eciam.
PROD. LZIV.
Acceleratio motus extremi puncti
mobilis chorda tensae, dum se se redu-
cit; licet semper crescat, non tamen
eo modo crescit, quo acceleratio mo-
tus granium: Probatur, quia acce-
leratur morus grauium hoc modo;
cum cadem maneat Cempet accele-
rationis causa, Scilicet cademm eta-
uicas, acceleratio tc per vniformia
velocitaris crementa; iusta Calilea-
nam hypochesim, quam hic Cup-
Ponimus, quia physice loquendo
bona eA v. 8. sic perpendiculum
ACi, eadem est ris motrix in A, in FIG. 4i
V, Z, B, dc. hoc est eadem graui-
EdSd