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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 92, page id 779782283:0178
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P E YSIC X.
PROP. CZ XX.
LRACY A F VS
Determinari potest quanta veloci
eas acquiratur a tota chorda, se se
reducente iuxta sccundum modum:
Sic enim chorda V Bu, centa in
8. +. AC, qua lereducat; velocitas ac-
quisita ab CxtreO p, est vE ErIaN-
gulum, cuius lateca circa angulum
rectum, sint aequalia VB, ex di-
etis; item velocitas acquisica ab ex-
FremO V, es ve pra dictum triangu
lum; acquisica rero ab altero lc9-
imenco Bu, CA DE CunCuS CuB alci-
cudine Pegmenti Bu, cuius balis sic
praedicto criangulo rectangulum
aequale; acgnisita denique ab altero
Ceomenco BV, est re cuncus priori
aqualis; igicur acquilica à FOCL
chorda VV.: elt ve duplex ille cu-
neuS, de quo lupra: si verO Com-
Parerur hac relocitas, cum acqui-
lica, per reductionem chorda AB,
aque renCA in AC, IUXta pEiIUIM
modum, Facile haberi porest prO-
portio; nempe acquilita à chorda
AB, iuxta modum pradictum, elt
ve cuneus, lub alcicudine chorde
AB, cuius balis sic rectangulum,
aequale ceiangulo, cuius alterum
latera, circa angulum rectum lune
aqualia AB, est aurem hic cuneus
quadcuplus minoris de quo lupra;
chordarum, adhibeatur adhue cra
ssitudo, erunt octo conurationes-
habicudinum, incer duas chor–
das: Veparet ex analyrica: cum enim
quia eius altirudo est dupla, de b2-
sis etiam dupla; quia tamen velo-
sine quaruor coninsationes, suppo
lita aequali crassrudine, per coroll.
citas acquilita à chorda Yu, dicie
duOS CIIMeOS IINOLCS, SEGNIEIENe
cellario relociratem acquisitam a
chorda AB, iuxta primum modum
se reducente, esse tancum duplam
acquisita, a chorda Vu, IuXEa Se-
cundum modum.
PROP. CZZXI.
Prop. 104. cerre Cune toridem Cup-
Polica inaquali crasicudine; qua-
cuor primas coniusationes iam su-
Pra explieuius; iam Vero quatuOr
ricimas explicabimus, quarum pri-
ma dicat inaequalem cra Ticudinem,
cum aequali, cum censione, cum
longicudine; secunda, inxqualem
craticudinem; cum equali lonoi-
cudine, sed diverla cenlione; Fet-
cia, cum aequali censione, de diver-
Ca lonsicudine; quarea demum, cum
diversa, cum centione, cum longitu-
dine: ob leruabis coningationes di-
verlorum terminorum. Lub duobus
predicaris oppolicis r. 3. E Qualicaris,
ee inaequalitatis Facile haberi pote;
enim sint tancu duo rermini, CuNE
Qracuor coingaciones; i eres cermi-
Si cum tensione es loneirudine
ni; Occo comugationes, LI quaTUOF
termini, 16. coninsariones; atque
ita deinceps, iuxta progressionem
Geomerricam dupla.
L l 23t.  La 202
in prima conmeatton. choraa
crassior tardius reducitur: Nempe
centionis nomine, hic acque dein-
ceps intelligo, vim adhibicam ad
centionem, id est, v. 9. Pondus ap-
Pensum; iam facile probacur prop.
quia sine dua chordae, iuxta pri-
nam coniusarionem, cralior A,
de minus cralla B; illa haud dubrie
magis resictir, quia per plures Par
ces relistie; isirur pondus appen-
Cum minorem vim illi imprimies
igicur minore mocu reducitur ioi