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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 591, page id 779782283:0677
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LIB. V. DE RESISFENTIA CORPORMMI.
oduersis E B; quia aequalibus mo- DC, vel vEDL, ad DM, rarione
meneis aduiersus D. A, _ F. B, ParionC
Ponderis appenli, adduneur ina-
qualia, rarione proprii, maius ci-
licer, aduersis DA, e minus, ad-
versiis BF; itaque la Sc sectansu-
lum DF, maius erit pondus, quam
 Sic criangulum ABC; isieur m2-
ins momencum, igicur criangulum
Facilius Custinebit praedictum pon-
dus, quam rectangulum; ve aurem
Sic idem momeneum, rarione pro-
pris ponderis crianguli, ec rectan-
guli, SIC ve lacus quadeari 1. 2d
lacus quadtati 3. ita DC, ad aliam
DO, haec est longitudo, sub, qua
eriangulum rarione proprii ponde-
ris, est eiuldem momenti, CaIm sC-
ctangulo; Led rune luperat momen-
cum crianguli, momencum rect an-
suli, rarione ponderis appen;
proprer longiorem rectem; vnde
heri deber aeguatio; quod ACE, Sd
componatur cario aegualitaris, ex
rarione distantiarum ab exrremo D,
ec collecti ponderum; quod veAae
deber praemieri Hoc Lemmma: (X da-
ea linea, in duo segmenta dinila (IE;
18. +3. Ve alcerum legmentum, est ad no-
Cab. 2. uam lineam, ica quadracums huius.
ad quadeacum cocius, v. 8. SIC LS,
diniCa IH P, SIE VE KP, ad nOVaM
KR, ica qUadEALIIIM RR, ad qua-
dEAEIIM EOTIUS KS; vel A IR, SIE
ad HES, ve haeC, ad RF ; CUINC RI,
exic ad HR, vehec, ad HIC; ica.
que sE DE DC, ad DL, ica quadca-
rum DL, ad guadracum DC; vel
A DC, AE ad DB, vehec ad DN;
DC eric ad DL, ve hec ad Dnt;
Hoc POlItO, dicO; MOI EHEIIM
ADL esle aequale IMOMenEO DF,
ratione Ccilicee ponderis appen(I, de
propeii; nam racione proprii; est
ve quadrarum DL., ad quadiaruri
appensi, ve DL, 2d DC; sed ve
DC, ad DL; ita DL, ad DM; igi
tur cantum crelcie, carione appen
Si, quantum decrelcie, ratione pro-
Deii; igicur est xqualicas momen-
eorum; quomodo vero problema
propolicum Coluendum sIC, gCome-
Eris cogicandum relinguiimus; quos
certe, ne diucius rerineam, moneo
tantum, hoc esse problema duarum
mediarum proporcionalium; sIE
enim rE SR, ad RR, ITA RR, ad
NK; CCKEE VE SR, 2d NR, ica
RK, ad PR; IgIEUE VE SK, 2d
RK; It2 NK, ad PR s IGIEUF VE
RP, ad _H, ica haec, ad RR, e
hec adHES, _ hiac ad RI; in his
habes eres medias proporrionales;
cuns camen dua cantum Cufsiciants
igicur media proxorrionalis longior
InteE DE, DC, est longirudo quee
(LEa
OnatEo, Eine vides qantu
Fructum mechanicis, HaC PFOPOSI
tio patere polsie; cum non modo
Cuberiplum ponderis decratatur,
rematienre eadem relictenria, ve-
rumm etiam plusquam Cubduplum.
ue consideranti parebit; Ilinc ctiam
HaeC ABUICA, qua adaGuaF IOmeM
ta ponderis axpensi, oduersis sin-
sulasbases, longe praeferenda else
viderur Parabola Galileanae, de
qua infra. cum quia lonse Faciliiis
nocera deseribieur, quam Galilea-
na, vepore Rouxarectilinea, quam
curuilinea; tum quia planum illud
parabolicum, est Tublelquialleruima
rectarguli ; cui ramen planum
eriangulare, de quo hic quaectio
est. Rc. eantum Subduplum; vndc
seruara eadem rescemiae rarione.
plis Ponderi proorio detraHIuL, La
elano criansularis quam in parabon
iCD.