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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 133, page id 779782283:0219
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E18. 24
LIB. II. DE COMPRESSO EY PEHSO.
dictis supra, nam punctum phy- quantiras per centionem hac duplo
licum porest esse duplo maius, cri-
plo, quadruplo, dcc. quod ve hat,
adduntur aequalia exrensionis cre-
menca, vetamen tac lubduplo mi-
nus, Suberiolo, subquadruplo, Xc.
non lune decrementa aequalia; quod
vemelius incelligatur; lic exrentio
puncti phylici, vel quanticatis phy-
Sica, nam perinde est, FG; vt
hac duplo maior; debet addi cre-
mencum OFL, aquale FG; Ve criplo,
debet addi FII, icem aequale; ve
quadruplo, II, etiam aequale; vides
aequalia crementa ee leomenta;igi-
TUE augetUE TenSIO PeF CreMenEa
aequalia; ac vero lic quanticas CB,
VE AaE duplo minor, derrahieur
BA aequalis AC; ve luberiplo, de-
crahicur AC, non aequalis AB, Ped
Cuberipla; ve lubquadruplo; de-
Erahitur F. D, Cuberipla DA; XC.
hinc re C A est Subdupla CB, ica
C F. CA Tuberipla e CD subqua-
drupla, vides decrementa non esse
requalia; rario disparicaris est 1I 2-
nifecta; quia FO porest in infinieum
mulciplicari, non tamen BA inf -
niries ex BC detrahi, Ve pater:
itaque licer censio e compresio
in eadem proportione augeri pol-
Sine, centio tamen hoc habet ab
excessibus, vel crementis aequali-
DuS, nOm vero compressio 2b
aequalibus decrementis extensio-
nis; igicur aliunde compressionis
proporrio perenda est.
PROP. CCZ ZV
V. se habot tensto, ad tensionem,
ita se habet compressio, ad compres-
sionem; si in eadem proportione im-
minuatur extensio, in cempressioni-
bus, in qua ancetur in tensionibus:
uod ve clacius pareat, eadem
maior, de criplo, excellus cenlio-
num lunc re i. 2d 2. re perspicurm
est: sac aurem eadem quantitas peF
comprestionem Cubdapla, priimuns
mox Cuberipla; dico comprelsionem
Cubduplae, esle ad compretionem
Suberiplae, rr 1. ad 2. probatur hoec
Prop. primo, quia nihil aliud a(-
signari porest, unde accipi podlit
Proporrio compressionum; non ex
centiones iimminate, non decre.
IEHEas peF PFOP. 221. X 222. Sed
nihil est aliud; haec ratio quancum-
uis negarina, mulcum ponderis
habet: secundo; Si LupponauS
corpus eadem Facilicare comprimi
Polle; e dilacari, Per PFOP. 223.
eadem facilitare het dupla extenlio,
per censionem, e lubdupla per
compressionem; cripla, de suberi-
Pla, _c. cum enim verinque in in-
finicum promoneri posC, cum ren-
Lio, cuum comprestio, veraque au-
seri porest, per proporrionales
gradus; qui aliunde accipi non
Dossune, re perspicuum est: certio,
cum in infinicum posiemagis, d
magis, cum comprimi, cum dila-
cari, per gradus proportionales,
rerumque tieri potest; id eA po
rest dari censio dupla, cripla, qua-
drupla, dec. icemque compressio;
igieur dari porest extentio dupla,
eripla, acc. icemque Tubdupla,
Subrripla, ac. igitur ve se habet
censio excensionis dupla ad exren-
sionem criplae, ita se habet com
pressio excensionis (ubdupla, ad
compressionem extensionis lubrri-
Plae; nec alia regula connaturalior
esle porest.