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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)
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L. IB. II. DE COMPRESSO ET PENSO.
puncto B, v. 9. vis impressa puncto pla resistentiae T, ve dictum est;
A, est ad vim imprellam puncto.
23 ve quadeatum AB, ad quadea-
cum 2B, re supra demonstratum
eA; necellario sequitur cylin-
deum in parabolam incuruari.
Seprimo, si non consideretur
momencum ponderis ipsius cylin-
dei. led alrerius ponderis appensi
exrremo cylindro, vel cuiustibee
alcerius potencix applicata, incur-
vacur in nonam curuam, v. 9. (IF
cylindrus FC, applicetur pondus
in C, nulla habica ratione ponde-
ris cylindri EC, sed tancum pon-
18. 40. deris appensi in C, incuruatur in
CuTUaM ER; quia Ccilicer aequalis
est relistentia, in singulis punctis
cylindri FC, ee vires iildem im.
Preclae. Cunc re diltancia ab ex-
cremo puncto C, v. 8. vis imprella
puncto F, eA ad imprellam puncto
S,VEFC, ad SC; ex quo sequi-
EuE NOuZ CuruZ, ve dictum eAt (u-
DEa.
Octauo, Si aftigatur triangulum
rectangulum; ica re balis sc afFIXa
plano horicontali, e deprimatur
Propcii ponderis vi, incuruatur in
parabolam; sic enim criangulum
FCM, atlixum plano horizoncali
AB; dico quod incuruatur in pa-
i8. 40 rabolam CO; quia cum vis im-
prella lingulis punctis GML, SIE vE
cubus distantiae ab HI, e relisten-
ria Cingulorum punctorum, (IC VE
ipla dictancia ab M; v. 9. relistentia
puncti T, esc ad relistentiam pun-
Ati 6, VET5, ad OF; id CA VE MI;
ad MC; ris aurem impresta C, est
ad vim imprestam T, re cubus
GMI, ad cubum TMI; cerre ris un-
pressa C, est octupla, illius, quae
imprimicur T, Suxpolica eadem
resiltentit; ac resisttentia 6, eA du.
igicur vis imprecla T, est subqua
drupla imprestae G; nam cum FesI-
Rencia aequali, eller lub octuplas
igitur cum relistencia Cubdupla,
vis est subquadrupla; Hc enim com-
penlatio; nempevio vernumidem
praestabit cum relistentia ve rnum,
quod vis re octo, cum relistentia
ve octo, ac cum relistentia ve duo.
praectabit eRectum Cubduplum
prioris; cum relistentia ve quatuor.
effectum subquadruplum, ac. hinc
momenca Cune in ratione duplicara
distantiarum a puncto M; ex quo
Sequitur necellario incuruatio p2-
rabolica, re patet ex num. 6. idem
dico de Colido prilimatico conslaro
ex muleis criangulis, simul iunctis,
horizonei parallelis, quae Faciune
Cubduplum parallelipipedi, nempe
idem de duobus dicendum est,
quod derno; _c.
Nono si considerecur eantum
pondus appenlum exrremo crian-
sulo, non proprium, inCuruaTUIE
in arcum circuli, hoc cs aequali-
cer in singulis punctis; cum sIC
aequale ponderis momeneum, ad-
versus omnia puncta, ve demon-
Arabimus eract. 2. lib. 5. PFOP. 72
num. 2. vei Superiorem mnmerum
ibidem num. 1. E crianguli baliS SIE
Parallela perpendiculo, et habea-
tur cancum rario proprii ponderis.
LnCUENaEAI in nouam curuam; quia
momenea lune ve dictantia, ve
Prop. 70. lib. 5. Eract. 2. demonstra-
bimus; si vero pondus appenlum
Fantum ConSideFeEUE, INCMLUACU
in candem curuam, sed inverlam;
sune enim momenca re distancia
permutando; re demontrabiimus
ibidem prov. 69. idem dictum. SIE
de mulcis criangulis, in cuneum
iuclis,