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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 369, page id 1066518432:0397
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DF VFRFDUS EF NIOTTBUS CORPORUM. LrB. II. 369
Huic eidem proprictati etiam insticie Clar. Darid Gregorius in suis
Flem. AAr. PhYI. PrOPOL. L II. FOl. 269. Sed nec ipse figuram sectio-
nis terrae per azem definire curarit.
643. Hlac rero proprietate polita, quod scilicet Colicitationes sra-
ritatis acceleratrices in F ex O AgurX EPp circa ep revolrentis,
distanciis a CenErO FC, DC reciproce provortionales lunt, quiscrc
diderit graritates absolutas corporum in iisdem punctis F ec D co-
rum distantiis FC e DC directe proportionales esse: Id tamen ita
eR; nam Colicitationes illae acceleratrices distantiis locorum a cen-
ero reciproce proportionales, sunt graritates corporum absolutx in
iis locis de quibus agitur, demtis conatibus centrifugis corundem
corporum, quatenus hi conatus exeruntur in corpora secundum il-
las directiones, secundus quas graritas, sed contrario sentu, agit.
Id est, si graricas in E, demta ri centritusa in eodem puncto, Fuerit
ad graritatem in D, demta pariter ri centritusa in hoc puncto D,
sed ea, quae in Corpus exeritur secundum directionem CD candem,
secundum quam graritas in COrpuS agIE, UE DC ad EC, erit ris
absoluta graritatis in F ad vim ab solutam in D, uEEC ad DC. Ad
hoc demonstrandum OpOTECE priuS SpCCIeM CUrVA PDF definire, F1S. 145,
cuius analysis sic est incunda. Graritates absolurx in F _ D indicen- a14
cur per GL, SD, e conatus centrifusi juxta directiones CF, CD
in iisdem punctis per cF, cD. Prirgue exhrpothesi eF =cF: eD -
(D =DC: FC, acqui est eF: EF = cL = P: P = N, XCF: EF = N.
P, item conatus centrifuous in D secundum directionem DM cA ad
conatum centrifugum in F., uEDL. ad P C, aC denIGUE CONAtUS CENEE.
in D sccundum DN cA, ad CONAtUM CCNET. SCCUndUM DM, UE DL.
ad DC; ergo ex aequo, id est, duetis omnibus antecedentibus in
ancecedentes ac conlequentibus in consequentes, acque elisis eliden-
dis, habebitur cD: SD =cD =N. DL~: (P =N.) FC, rel inverten-
do _ componendo eD: CD = (P = N). FC: + N. DLE: N. DL 2, Sed
cD: GF. = N. DL: P. DC. FC, erso denuo cx aequo Aet eD: eF =
(P = NV. ) FCE + NV. DI : P. DC. FC. FR CrOO GPaVItaS In D uERXC
Fractio (P =N). FC, F NY. DI:: P. DC. FC, adeoque, juxta metho-
dum supra 5. 633. expositam, est sraritas in D ad conatum centrifu-
sum in D juxta DMI, id CAt, DC: CO = (P = N). FC L N. DL 2: N.
DO. DL = (EF =EC). EC + DT: DC. DL, quia (contr.) in A9.
246. FF: FC =P: NI, seu in ratione praritatis (ub aquatore in l
ad conatum centrifugum. FTInC DL: C9, vel IO: CO = (FF -
LC). LC + DL.: DC. (5,. 634. RUM. LLC.) = rec lum Ll. rec lum RC.
A2d
Et