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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 363, page id 1066518432:0391
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DE VERTBOS ET HIOTTBOS CORBORDM. LIB. II. 363
da, item Alum NMI cum annexo pondusculo M, e hoc silum in
N fixum ope pondusculi M. in litum superficici PDF normalem
Pele componet. Nam corpusculum M descendet quantum potest,
tancum autem descendere potest, usque dum superticie PDF. vici-
nistimum ejusque directio NM eidem superticiei perpendicularis
fuerit. AEqui NM, vel ei parallela RDO curra perpendicularis in
D, angulo DNMI a recta DC ex puncto suspensionis N ad centrum
C ducta, deflectit, ut adco hinc appareat pondusculum MI non ten
dere ad centrum sphaeroidis PP A.
C OR OL E A R F U M. TI.
632. PFOpEerCa ND erit ad lineolam DMI aequatoris diametro
CF parallelam, sicut pondus absolutum corporis M ad ejus cona-
tum centrifurum in D. Nam Si ND exponit pondus corporis, li
neola DMI exponet rim, qua a directione ND retrahitur decinetur.
que in directione NM. Vi enim ND aequipollent laterales NM e
DM, _ cessante motu conrertionis circa axem Pp pendulum NMI
se componet in situm ND, unde, ut detincatur in positione NM,
ad id alia ri laterali juxta DMT agente opus est; haec rero ris late-
ralis est conatus centrifugus ex circulari motu sphaeroidis oriundus,
qui se in mobile exserit, secundum directionem LDMI radii illius
circuli, quem (phaeroidis punctum Duna conrersione circa Pp deleri-
bic; ac, per consequens, graritas corpusculi MI se habet ad conatum
ejus centritusum sub aequatore in D, SICut ND ad IMI.
C O R OL L A R L U M TTI.
633. Si pondus corpusculi MI sIE ad conatum ejus centritugim
Sub aequatOrO in F, UE P ad N, _E ReCTA DOO CUIEVE PDF Per-
vendicularis in D, erit LO: CO = P. FC: N. DC. Nam GraritaS
est ad rim centrituoam in P, RICuE P ad N, e conatus centrituous in
E ad conatum centritusum in D, UE F C ad DL, CrSO CX XquO SIa-
ricas ad conatum centrifagum in D, id eA (5. 632.) ND: DM, vel
DC: CO = P. F C: N. DL, adeoque etiam N. DC: N. CO = P
EC: N. DL, vel permatando NI. DC: P. FC = NI. CO: TT. DI =
CO: DL (vel propter parallelas FC, DL.) =CO: LO; erso in-
vertendo AE LO: CO = P. FC: IY. DC.