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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 530, page id 779782283:0616
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53
PFZSTOE TR ACT ATVS II.
vel minimo pondere appenso Fran- haec prop. principii loco alsumi
GCTCEUE.
PROP. ZVTTI.
Dato pondere, cujus vis appensi
funem francat, dari potest pondus,
cuius vis, funem crassiorem, vel
subciliorem frangat: Sic enim pon-
dus, cujus ris datum Funem tran-
Tat; Gc Funis, duplo cractor, dico
quod à pondere duplo prioris tran-
GetuE; cum enim relistenciae (InE VE
bales, vel crassicudines, per prop.
24. Cerre E datum pondus datam
reliltentiam Cuperar; duplum, du-
plan quoque luperabie, Per aX. 1.
prop. 3. igicur duplum pondus, Fu-
nem duplo cralliorem Franger: hic
eriam praelcindo à censione; nempe
Funis crasior maioris censionis ca-
Pax est; A vero Funis alcero Cubri-
Lior allumarur, altumatur pondus,
quod sic ad prius pondus, ve crassi-
Eudo, vel balis subcilioris Funis, 2d
balim, vel crassicudinem alcerius,
et quaelitum peastabic eAeCFUIM:
obleruabis autem, ve cirra censio-
nem; res luccedat, ee cum expe-
rimentis componi postu, allumen-
dos elle cylindios viereos, nempe
sla ferrea, e aerea maximé ten-
dunEur.
PRO. P ZIZ.
Pondera funium, vel cylindrorum
eiusdem materia, e crassiudinis,
sune vt loncicudines: Sic enim cy-
lindrus A, aeque crallus, sed duplo
longior cylindio B; certe A in duos
cylindros diuidi porett, aequales
ommino ip(I B; igicur eiuldem pon-
deris; Led eplindrus a veriulque
Pocelt.
DROP. XZ.
Pondera cplindrorum ejusdem ma-
teriae, e longitudinis, sunt et bases.
vel crassirudines: bases auter sunt
in ratione duplicaia diamerorum:
Probatur quia sic cylindrus A qua-
dcuplo crallior exlindro B, Ced eiul-
dem longicudinis; diuidacur A, in
4. Crlindros, eiuldem longirudinis.
cum B, cerre bales lingulorum
aequales erune ba(i B; igitur lingu-
li Cune aequales ips B; igitur aequa-
lis ponderis, cum B; Led A conti-
nec lingulorum 4. pondera; igitue
pondus A est quadruplum ponderis
B; igieur pondera Cunc re crastieu-
dines: quod aurem bales line in
ratione duplicata, hoc et, ve qua-
drata diamerrorum, Pacet ex geo-
mecria; isicur ad balum quadeu-
Plam, v. 8. dupla cantum diameter
requirirur; ad noucculpam, eriplar
crassiudinis, seu basis. (unt in ratio
ne composia basium es longitudinum:
Sic enim cylindrus A, cuius balIS
Cc quadrupla basis, alcerius B, e
longicudo dupla lonsirudinis; li di-
uidatur A in quacuor cylindios,
ciuldem longicudinis, cum A; POn-
dus lingulorum exic duplum pon-
deris B, per prop. 18. Ced cylindeus
A. Cingulorum 4. pondera continee,
isicur pondus A es occuplum pOn-
deris B; sed haec rario octupla =
pondus concinet; igirur pondus est compolica longirudinum . e
A est duplum ponderis B; isicur crassicudinum seu baluum =. hic
pondera sunc re lonsicudines; sed enim crassicudinem pro bali acci-
pio:
DROP. ZXI.
Pondera cylindrorum, ejusdem ma-
teriae. Sed unet sa confanis,