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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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LTB. II. DE COMPRESSO ET PEHSO.
PROD. CCLXI
Si appendatur pondus extremo ey-
lindro, verricali plano affixo, incur-
natur, es deprimitur, sed non in pa-
rabolam: Sic enim cylindrus CC3
altixus in C; appendatur pondus
5. 39 in C; dico quod non incuruabicur
in parabolam; nempe idem nOn
Praectat pondus in C appenlum,
quod iplum pondus cylindri CO,
si longior eller, v. 8. nam mmO-
mencum cylindei CG, est vEmO-
mencum ponderis aequalis appensi
in K, vel ve momentum Cubdupli
Ponderis, appen(I in G, VE PaTCE Cx
mechanica: hinc momenta extin-
dri, pro singulis punctis CG, TunE
in ratione duplicata distantiaru, ab
exrremicare mobili G, cum Lamen
momenta ponderis appensi, pro
lingulis punctis, line ve rectes, leu
lonoicudines rectis, Ceu distantix
a C, cui appensum est pondus; 10i-
cur ve latera praedictorum quadio-
TOrUM: PexterCa adducaTuI AC,
in HCF, adducta scilicer veraque
extremitate A, C, in FI, F, OPeFa
chordae HEF, igitur B exrremitas
C, Tcomenti GC, cuins altera eX.
cremicas C immobilicer aftixa est,
Opera, chordae EF adducatur, in-
PROD, COLZII
Arous potest plus e minus lu-
nari: Probacur, quia porest ma-
ior, ee minor porentia, vel maius,
e minus pondus appendi; igirur
Porest elte maior, e minoi vis
adducens; IDIeUL PeF aZ. 4. _
ipla adductio, seu lumario; vel
Een(io.
PROP. CCLZIII.
Est adem provortio censionum;
eiusdem arcus; es ponderum appen-
sorum: Hhoc etiam commune est
tensioni chordarum, de compres-
lioni corporum; rario manifesta
est, ex aX. 4. nempe eadem est pro-
porrio caularum e effectuum; Ced
pondus appensum est caula censio
nis, _ censio effectus; irieur ca-
dem est proportio censionum, de
ponderum: Tlinc si appendatue
pondus duplum, eric censio dupla;
s quadruplum, quadrupla.
PROP. CCLXIV.
Omnia puncta semiareus tensi, ab
appenso pondere inaqualicer condun-
tur: Sic Cemiarcus CLF; dico pun - Fig. 39.
ctum C, magis cendi, quam L; d
L, quam F; ratio est, quia vis
curuabitur in CLF; nam perinde cendens maiorem effectum exerit
et, sive veraque simul excremitas, in C, quam in L; in L, quam in F;
sive alcera tancum addueatur; acqui scilicer carione rectis: Flinc s vI-
pondus appentum in C, idem pra- cerius deorlum adducatur cylin-
stac quod praeltaret porencia addu-
cens opera chorda:hinc ( appen-
drus C 6, d plus xquo lunerur,
Fransitur in C: Flinc centiones
dacur pondus in F, rerinebic at- Singulorum punctorum, TuNE vE
cum censum; de lunacum, sed distantia à puncto C, v. 8. censio
non in parabolam, per prop. puncti O, est ad censionem puncti
53
K, VCO6, 2d LC.