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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 109, page id 1066518432:0137
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DE VIRFBOS ET MIOTZBOS CORPORDM. LIB. L. 1O9
Si particulae P, O ec. virgis inAexilibus CP, CQ, PO inter
SC CONHEKX COnVertantur Circa aXem C WV, punctum in aXC CN pen-
duli N, in quo maxima vis in obstaculum ip( objcctUm COCXCTCTUE,
rocatur centrum percustionis, oltendendunque est hoc punctum
tantumdem ab axe oscillationis CW distare, quantum centrum
oscillationis in calu Coroll. 2 Prop. anteccd. (5. 207). Radiis CP,
COagantur normales PB, OE axi CM occurrentes in punctis A
et D, Der quX ex per centra corpusculorum P, 9 ducantur nOr-
males AO, DE, PC X OHI ad axem CMI. Atque hisce positis
catim manifestum est conversione totius Agurx CPO circa axem
CWV, Particulas P, O motum iri celeritatibus proportionalibus ca-
rum distantiis PC, OC ab hoc axe; at qui juxta ca, quae Lupra (5. 53.)
dicta sunt, axis penduli CM candem a particulis P, O circa C in
orrum actis impressionem accipiet, quam si ejus puncta A et D, in
quibus scilicet directiones ponderum in quolibet arcus ab ipsis
delcribendi puncto motum tuum prolequi nitentium azi occurrunt,
juxta directiones AB ex DF. illis ipsis celeritatibus impellantur, quas
Darticulx P _ O _C. habenE; proPterea FactiS AB, DF XC. aequa-
libus vel Paltem proportionalibus homolose radiis CP, C9 qui
relocitates exponunt, quibus particulae P, C in grrum aguntur,
quaestio reducetur ad id, ut inveniatur centrum aequilibrii poten-
LIarUM P. AB eE O. DE; SIE N hoc centrum, quod ita compara
tum esse debet, ut ductis ex eo ad singulas PB, DF, _C. PerPen-
dicularibus Na, NId ecc. omnia Facta P. AB. Na aequalia sint om-
nibus Factis O. DF. DFd. Sed ductis BO eE E F parallelis CM, crian-
sula AOB, Na A similia praebent AB. NTa = AO. AN e triangula
Similia DFF _ NdD CRCINNE DF. NId = DF. DVI; OpOTTet CrGO
UE Omnia P. AO. AN SinE aequalia omnibus O. DF. DN; conside.
TeNEUE FaNEUm dUX P, _E G, CFIEque P. AO, AN =O, DF. DBF
vel P. AO. AC = P. AO. NC =O. DF. NC -O. DF. DC, atque
adeo P. AO. AC + O. DF. DC = (P. AO + O. DF). NC; verum
quia AO = CC _ DF =CFI propter triangula similia e aequalia
ABO _E C PO, UEpOtO in quibuS AYPOTheMIX AB _E CP EQUanEUE,
ac propter similia e aequalia triangula DRF _ COFL, in quibus
PaTItCF DF, e CO TunE aequaleS, ACt P. AO. AC F O. DF. DC
=P. GC. AC + O. FTO. DO) =P. PO + O. OC2; e P. AO +
DF = P. GC + O. HIC, hoc est (5. 4. 4) = M. MC; existente pun
cto M centro graritatis particularum P, Q e M =P + O. Idcir-
co factis substitutionibus debitis in P. AO. AC + . DF. DC = (P