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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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(P1B. II. DE COMFRESSO ET PENSO.
18I
lica; nec intinitae linea, in plano; Aracum est prOp. 271. Colidu AL DEF Xi8. 45.
nec infinita plana, in Colido; vis repraesentat, rim nilus, quam ha-
linea censae, est ad vim plani censi,
ee vnicas ad numerum lincarum.
quae Cunc in illo plano; de vis pla-
ni, ad vim Colidi, vernicas ad nu-
merum planorum, qua Cunc in Co-
lido: immo vis lincae cenlae cs ad
vim Colidi censi, ve rnicas ad nu-
merum linearum, qua lunt in (0-
lido, vel in rarione duplicata vi-
rium, linex, et plani; quid clarius.
PROP. CCLXXXVI.
Esinc vires cylindrorum, aeque ten-
Sorum, eiusdem longitudinis, sed di-
versa crassindinis, sunt ut bases;
quia lune ve ipsa Colida; led haec
Cune, re bales: HaeC PFOP. PaTEE
ex dictis in proxime anrecedenci;
PTOBRTUE aUTeM PeF aX. 4. POFEO (I
Ec eadem materia, catio Colidorum
est ve racio ponderum: Hlinc cy-
lindrus eiuldem cum alio longixu-
dinis, de mareria, ec cuius pondus
sic duplum, haboc vim duplam.
DROP. CCLZXZVII
Tinc vires nisus, acqnisitae per re-
ductionem, in eadem proportione, vel
proeressione, acquiruntur, in linea, s
cylindro: Racio clarissima eAt; nam
Perinde le habet cylindrus, acque
S essene plures linea simul iuncta,
quarum quaelibet singularem pro-
pressionem, haberet a progrestione
alcerius independentem; in quo cer-
ec nulla est difticultas.
DROP. CCLZZZVLIL
Si rectanculum trianeulum cuius
basis immobiliter affixa est, tendatur,
es reducatur determinari potest pro-
portio virium nisus, quas acquirit per
reductionem: Nempe lupra demon.
bec, initio reductionis, praedictum
criangulare planum; ve aurem ha-
beacur proporrio virium acquisica-
tum, per reductionem huius plani
criangularis; debet reduei praedi-
ccum Polidum ALDF, ad planum,
cuius lineae habeane ca(deim prO-
portiones, quas habent illius pla
na; v. 8. Sic prilma ADB, in quo
altumancur quorlibet plana paral-
lela FFD, MIPO, GCFL, NOI, ABL,
Rc. Sic planum ALD; diuidens
praedicta plana; cum altumatur
PFOpOrTiO LCOenEOTM; vertus
plaNUM FLS CCPEE SI SIE FFD 16.
MITZO CPIE IC. GTKEL, Y2. YISRI
7. _c. hoc polico, astumatur linea
RL, in rectangulo L. A, quod divi-f 19 48:
datur in eoridem parres aquales,
ductis lineis parallelis, KL, TM,
FAA, GO, AE, ec. in quor praedi-
ctum Colidum dinisum est, de SIE
RL 16. Paerium aequalium; 1Z,
15∞ FIX, 12. GP, 7. ec per puncta
LZZP A ducatur curna, haec est
parabola, re constat ex geometria,
 LRA planum patabolicum, quod
continet  rectanguli LA, que-
madmodum praedictum Colidum
A9. 45. Continet = Cui prilmaris;
ex quo vides (ve obiter moneam)
quam Facile quadracura parabole
demonstretur: his pOstis (IERA
longicudo arcus rensI, SIE KL vis
nilus exrremi puncti mobilis, et
IZ, ris nilus pucti L; FIZ, vis nisus
puncti II; _C. _RLA, vis nisus
EOriuS RA; cerre ris niluS, qua 2c-
quiric puctum , per incegrâ redu-
ctionem, est re rriangulum rectan-
oulum, cujus alterum lacus, sIE ve
KL, alterum vero re spaciumm. P2-
sd modo; vis quam acquirit pun-
ctum