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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
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86 DE V PRFDUS ET MIOTIBUS CORPORUM. LIB. I.
tudines oscillationum aequalibus temporibus peractarum erunt pro.
inde in compolita ratione ex ratione subduplicata directa ponderum
ec subduplicatis rationibus inversis mallarum ec lonsitudinum pen-
dulorum. Aut, E pondera maltis proportionalia LInE, ut tuto id al-
sumi potest; erunt praedictae oscillationum multitudines, ut radices
ex lincis, quae pondera seu rires graritatis exponunt, quibus pendu-
la agitantur, applicatis ad pendulorum lonsirudines. Atque adeo,
r. Pendulorum inaequalium, sed eadem graritatis Colicitatione agi-
tatorum, ribrationes eodem tempore absolrendae sunt in reciproca
Subduplicata ratione longitudinis pendulorum. 2. Numerus oscil.
lationum unius penduli erit ad numerum oscillationum eodemtem-
Pore peractarum in alio pendulo ejusdem lonsitudinis cum primo,
in subduplicata ratione Colicitationis graritaris, qua primum ad (o-
licitationem graritatis, qua alterum pendulum primo quoad longi.
cudinem aequale asitatur. Atque hoc posterius ad amussim conre.
nit cum regula quam Bernoullius in elegantissimo suo schediasma-
te Act. LipC. L713. M. Februario inserto, tradit paragrapho 16, ex
qua deinceps gravitates speciticas cruere docet ex pendulorum ex
Perimentis modo plane noro nec antea cognito.
5 C H O L L1
177. Da coroato proxime antecedentibus latis elucere exicti-
mo, quantae ucisstalis sut theorema nostrum generale ilochronismi
corporum in curris, aslignata lege delcriptis, descendentium, cum
ex ea omnia, guae ad pendulorum motus spectant, tanta Facilitate de
ducantur: interim olcillationes pendulorum quam minimas consi-
derare conrenit propter rationes 5. 174. indicatas, scilicet quia tum
demum pendulum vel penduli pondus arculum ilochrona, cujus tem-
Dus dimensi lumus, Percurrere censetur, cum minimum arculum cir.
cularem ipsum describit, quoniam, eo casu, talis arculus circularis
osculatur arculum ilochrona duplum ipsius XA Ceu arculum XA X;
DOSItO arCU AX in curra BE A, ex altera axis AC parte constituta
equali arculo AX, et quia osculari atque congruere in Creometria
unum idemque signisicant, Caltem in ca parte, in qua osculum con-
tinsit. Sin vero arculi AX non lunt minimi, hxec tamen omnia 2d-
huc sublistent, si pendula inter se collata rel eorum pondera curras
similes descripserint.
278. Vc isitur quae in antecedentibus corollaris spartim dicta
Tun