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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 108, page id 1066518432:0136
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108 DE V ERIBUS ET MIOTTDUS CORPORUM. LIB. I.
latur, SIFUE G ad C7 -F, e ratio graritatis speciticae pondusculi
liquorisque ut ( ad C =F, praedicta Formula articuli 206. exhi-
bebit longitudinem penduli simplicis CN in racuo oscillantis at
que composito CPC, quod in Auido ribrationes luas peragit, ilo.
Chroni.
Exempli caula sit P globulus aureus, O Ferreus, atque pendu.
tum CPOoscilletur in aqua; ex quia graritates auri, Forri e 2-
quae unt ut numeri 100, 42 et 5 ad inricem quam proxime, crit
 G; et 6: 6 -F = 42: 5,
adeoque F = ==C; hinc quia (secundum hrpothesin) M = F. P +
10b P +
generalis corollarii primi substiturione raloris M, Het NC = (P. PC
05
13
+O. 1C). 6: (100 P + 1). G = (P. PC + O. OC): (160P + )
In qua P _ O denotant massas harum particularum, seu etiam pon-
dera carum abloluta, quae (55. 30, 252, 275.) masis SemPEF PrOPOr.
tionalia Cunt. Punctumque M est centrum gravitatis, non ipsorum
corpusculorum P, O sed eorum partium D P et = . HTinc erso li-
0c
quet, centrum percustionis differre in hoc casu à centro oscillatio.
nIS. Frranc ergo qui nulla habica ratione graricatis Cubito identit.
Cant, atque confundunt haec duo centra oscillationis e percustio-
AIS.
Si Formula corollarii primi applicetur corporibus P, O, quae li.
quore specitice leriora lunt, totus Formulae denominator migrabit
in quantitatem negatiram, quod indicat pendulum situ inverto
respectu praecedentis casus olcillationes suas intra liquorem ab(ol.
rere delcribendo arcus versus fundum rasis caros existente oscilla-
tionis axc prove Fundum. Ouomodo praedicta Formula pendulis
compositis debeat applicari, in quibus fingulae parces in una cadem.
que linca recta dispositae sunt, nimis planum ese existimo, quam ut
ulla explicatione indiseat.
PROPOSTTTOZZXVI PHEOREMA
6.410 210. Ldehtbad belble elbabionto e Det bussibio eb basaiqco secte dta
rum penduli compositi partium pondera massis earundem proportionalia
sunt.