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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 97, page id 1066518432:0125
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M
DE VTRTBUS ET MIOTTBUS CORPORUM. LIB. I. 97
Ouia corpus in orbita mobili morendum a POFatiONC SCU mOT
circulari plani abe acquirie conatum recedendi a centro C, atque aded
a curra ipla ab, necessum eAt, ut quaedam solicitatio ad punctum C
directa conatum ejusmodi excussorium retundat, ad id ut corpus in
orbita mobili crrari queat, nec extra eam ragetur; hancque solici-
tationem praecile aequalem esse oportet conatui illi centrituso à lo-
lo plani motu orto, alioqui corpus in orbita mobili non detinere.
tur, si Policitatio conatu centritueo major vel minor esset: sed co-
NaFS CentrIFuIdUS a motu plani abe oriundus CR CXCCHUS CONAEUS
centrifusi puncti b, a motu radii rectoris b angulum bCh describe.
remolientis, supra conatum centritusum puncti B in orbita quielcen-
ei ABE, arculum BFI describere conantis; nam motus angularis
bCh non Colum involrit mocum angularem BCFI radii rectoris BC
in orbita quiescenti alteri bCh contemporaneum, sed etiam motum
ipsius orbita plani, ac propterca conatus centritugus, qui resultat à
motu puncti b in radio rectore bC, angulum bCh describente, non
Tolum in se continet conatum centriturum puncti B in radio recto
re BC orbitx guiescentis, angulum BCFI describente, sed etiam
conatum centriturum, qui provenit a motu plani abe, adeoque hic
conatus aequiralet excessui conatus centrifugi puncti b, lupra co-
natum centrifurum puncti B in orbita immobili; acqui idem cona-
tus centritugus a motu plani abe ortus aequalis est solicitationi cen-
tralis a qua retundi debet; e haec PolicitatiO COCTCenS CONatUM Cen-
tritusum requatur excessui Colicitationis centralis in puncto orbitx
mobilis b supra Policitationem centripetam in orbitx immobilis pun-
eto B cum altero b aeque alto. rgo hic excessus solicitationum cen-
tripetarum aequatur excessui conatuum centrifugorum in b ee B.
Ouod crat demonstrandum.
PROPOSTTIOZRXIT PHEORENA.
192. Tisdem positis, excessus solicitationis in orbitae mobilis puncto b,
supra solicitationem centripetam in orbitae quiescentis puncto B aequeal-
to, erit ad solicitationem centripetam in puncto a orbitae immobilis in
composita ratione ex ratione F =C ad C e ratione solidi AC. AO
ad solidum BC; existente RO radio circuli ejusdem curvitatis cum cur-
Va ABE in A, seu radio circuli curvam osculantis in A.
Compendii gratia relocitates circulationis radiorum bC, BC, AC. FiB. 45.
delignabimus respectire per ub, uB, uA; conatusque contrifusos
pun-