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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 183, page id 779782283:0269
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L1B. II. DE COMPRESSO ET TENSO.
183
communis in F, vE AF; ec ex bales lunc in ratione composir
communi adductione AC; relulear spariorum ee primorum niluu, i
vis nisus communis in C, Ve AC; est lacerum homologorum; de ipsi
Sed hic nilus communis est porius
linearum, quaM CXELCMOTUI PUN-
ctorum.
Sccundo, vis nisus eorius cylin-
43 dri AE inicio est ad rim nilus corius
AC, VEAF, ad AC; re constac ex
dictis; scilicet inicio reductionisi
hinc vires illa lune in rarione lon-
sicudinum: hinc cum sIE Cadem.
Proporrio. virium nilus, d virium
relistentia, ve duo arcus eiuldem
crassicudinis, e macerixe, led di-
verlae lonsicudinis, FetinCaNEUI,
appensis scilicer ponderibus, in
aquali censione, pondera Crunt.
=qualia, quia pondus appenlum cy-
lindro longiori, cancum auget
momentum, ratione rectis, quan-
cam idem momencum imminuieur,
ratione relistentia.
Tertio, vis acquisita ab extre
mo puncto, per inceoram sedu-
ctionem, est re criangulum, Cub
vi prima nilus, quae elt inicio re-
ductionis, e sub ipso spatio:
hinc excremum punctum cylindri
brevioris, minus ririum in redu-
ctione acquirit; quia breuiorem
spacii lineam merieur; igicur minus
elt praedictum criansulum, quod
vim acquisicam reprae sentac, re iam
de chordis censis dictum est.
Ouarto, vis acquisita a FOTO Cy-
lindro, ett ve cuncus, cuius balis.
sic ve rectangulum praedicto erian-
oulo aequale, de alcicudo ipla Lon.
sicudo cylindri; hinc ris acquisica
a brcuiori cylindio cen(o, pei rc-
ductionem, minor est, quam 2c-
quisita a maiori; cum ratione prae-
dictae baiS; quae minox est; EUIM.
carione alcicudinis: hinc praedicta
cunei lune in rarione compoliCa, ex
ratione alticudinum, ex balium: ex
his seliqua Facile incelliges.
PRO P. C CZC
Si eylindri tensi sint ejuidem ma-
teria, tensionis; lonsicudinis, sed
diversa crassicudinis; determinari
potest proporio virium acquisirarum:
Sunc enim vires in hoc calu, ve
Pondera, vel ipla moles cylindio-
rum; nempe eadem est caularur
_ effectuum proportio, per aX. 40
ee perinde se haber cylindrus du-
Plo crassor, census, acque (i eAenE.
duo aequales, iuxta Ce invicem Po-
liti; aequi si aequales lune, acque
aeque censi, vires rnius lunc aequa-
les viribus alcerius; igitur l acci-
pianeur vires veriulque coniun-
ctim, habene racionem duplam,
ad vires reriulque scortm; in
quo nulla eAt penicus difticul-
Ca5.
PROt. CCI
dem materiae, longirudinis, es cras
situdinis, diversa pondera appendan
eur tensiones sunt et pondera: Sci-
licet effectus, ve caula, Per aX. 4.
nec est alia racio à priori diverlae
centionis, huiulmodi cxiindrorum,
nili diverla ris applicata; idque
eodem modo, nempe eadem ris di-
veclimode applicata, r. 8. excremo
puncto, e medio; diverlum cfto-
ctum habet, propcer diverlam ra-
tionem rectis, redicemus infta; ac-
qui appenta pondera lune re vires
applicare; ixirur endem est ten-
homum
Si ad tensonm mator as