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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 282, page id 779782283:0368
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L 1L L52C21
nOre mOr extruditUE aqua; quan- LeS TUnE vE quadraLA, IOEuS ve
do vero in F, adhuc minore; quan corum radices: Hlinc rires decrel-
do in D, adhuc ctiam inore; _CC.. cune re eriangula; IOTUIS verO ve
cario est clarissima, si enim alcieu-
do aquae sIc BA, eAt pondus reBA;
igicur vis extrudens ve BA ; (I au-
cem alcicudo aqua veBE; pondus
est ve BF isitur vis extrudens vr
BF, quae minor est BA; igieur si
decrelcir vis exerudens, decrelcir
etiam vis extrusionis: Hlinc vis
exerudens decrescie, re. alcicudo
aquae; quomodo vero decrelcat
mocus exrrusionis, detinio in pro-
posirione lequenci.
PROP. ZC
Si vis extrudens decrescit inata
Periem numerorum simplicem v. 8.
4. 3. 2. 1. C. motus extrusionis de-
crescit inxta seriem radioum, huius-
modi numerorum; Ouod re melius
incellisacur; alcicudo praedicticu-
bi reducarur in arcam crianguli.
518, 59. ABF, quod repraesentet v. 8. 4. PaL
mos alticudinis; de CHIF, 3. Pal-
MOS; DIF, 2. FOP, 1. cerre ita de-
creleir ris exrrudens, nempe si cum
alcicudine 4. palmorum eA vE 4.
cum alticudine 3. Palmorum, exie
re 3. Cum alricudine duorum, Ve
2. Xc. FIOc polito, Cum MOTNIS ex-
erulionis sine in ratione Cubdupli-
caca virium excrudentium, si vis
triangulorum lacera; nihil clarius.
meo iudicio proponiporett.
DR OP. ZC FL.
Si tubus praedictus sit inclinatus,
minore vi aqua extruditur; es pron
poriso huins mocus determinari po-
cest; Prima pars constar, quia in.
tubo inclinato aequalipriori, aqud
minorem rim ponderis ee grauita-
tionis haboc, per prop. 47. Isitur
vis exerudens minor est; ioitur mi-
nOr es mocus exrrusionis: secunda:
pars Facile habetur lic enim cubus
inclinarus BFL, aequalis BA; duca- rig 603
EUE FFL hOriZOnTaLIS, VIS CxEFH
Lonis BFL, est ad vim exerusionis.
BA, VEBF, 2d BHI, vel ad BA;
nemperis exerudens, est re rispon-
deris, vel granicationis, led vis
ponderis d granitationis per BII,
est ad rim ponderis per BA, VE BF.
ad BFI, per prOP. 47. igicur viS ex-
crudens, quae haber camdem pro-
Portionem, es re BE, ad BA; hOC
eA ris exrrudens in BHI, est ad vim
exrrudenrem in BA, VC. BF ad BA;
hoc est ve alcicudines; ioirue sune
sic cubus perpendicularis BF, sinc
inclinatus BHI, Cue quiliber alius,
eiuldem alcicudinis, eadem est vis
AIE VEFAB, MOTUS CFIE, VEFA; R. excrudens; igicur idem mOTUIS ex
VIS DE FOHI, MOCS VEFC; si vis
VEFDL, IOTUS VEFD; (I vis VE
FF G, InOEUS VE FF; auc si redu-
eas in numeros, si vis re 4. IMOCUS
re 2. E vis vE 3. motus vE rad. quad.
3. A riS VE 2. MOTuS ve rad. quad.
2. A vis VE T. MOTUS vE L. LatiO CA,
quia mocus excrusionis Cune in ra-
tione Cubduplicaca virium exeru-
ACMLIU, pet prop. 89. hoC est vim
trusionis; porro daris cubis BE,
BA, quaenam sic proporrio mo-
cuum extrusionis, dictum est Cupras
Cunc enim vires exrrudentes, re al-.
cicudines, per prop. 87. _ IOTUS
extrusionis, re alcicudinum ead
Guad. peF PFOP. 89.
282.
TR ACF A TVS