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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 150, page id 1066518432:0178
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I5ODE V ERLBDS ET MIOTIBVS CORPOROM. LIB. II.
ACE PT: PO = AF. CD: AF. CD, aequo adeo PI = PO = PL, ubi
scilicet Ae facta fuerit AF. Hlocque casu erit momentum solidi re-
spectu plani per L transcuntis alterique PO) aequidistantis, aequale
Facto ex rec- IO AF. CD in aream PL uI.
COROL L A R X u n II.
287. FIIHC, H HSUTa CAD fuerit sectio recta in solido patiente
BAS FgurarUM 23 8 24, e curra LrO Icala graritationum liguo.
ris heterogenei, Tolidum OPCD crit plcudocuneus scalae gravita.
tionum, ex momentum ejus, Peu co. Ae, in catu Agura 23 = AF. CD.
TIPL, X v. Ae in casu AisurX 24, = AF. C D. LnIP.
S CH OLLON.
288. Patet ergo computum momentorum liquorum in rasis di-
ducibilibus graricantium eocum deduci ad inresticationem arearum
AEFFA, LIP _E LHIP in Aguris 27, 28. Guxe in particularibuS ex-
Fi5. 23, 24. emplis semper haberi possune, si non alsebraice, Caltem transcenden-
ter. Sit enim ras BAS conicum liquore homogeneo plenum, adeo
Fis. 27. Ut curra Lr abeat in lineam rectam, quo calu Colida det n CrUNE
18. 28.
similia et equalia Colidis BAF _ SAF, e solidum CBAD eriE
Semissis coni recti, in quo cum sIC F A: CA (= BF3: bC) = PF: cF,
lignet curram AfF Fore hoc calu parabolam cubicam, at que adco
TrilinCUM R AF CrIF = + AE. RF, _E AFHI = = AP. PF. EC quia CBD
est Temicirculus, cujas centrum in R, erit CBDC. ZV = ZBE. =
D. BE2, atque adeo D = ZBF. HIinc (8. 284.) d. a F = n. EF =D. PF.
AEF = ZBF. EF. AEFA = ZBR. EF = AR. RF = s AF. BF3.
Porro existente linea LrO reCta _E IP = PO, crit etiam
Le=er, e Sic ubique: unde cum (5. 285.) ei sit ad er uE AC. cd
ad AE. CD, crit ubique ordinata ei = AC. et. Cd: AF. CD = AC.
eF: AV Substituendo loco rationis cd: C D aequalem rationem AC:
AE propter Cimilitudinem triansulorum ACd ec ACD, quandoqui
dem in praesenti casu figura ACD est triansulum. Ilinc reperietur
Der notissimas quadraturarum methodosbilincum EiA = i AFE: hinc
in calu Agurxe 23. habebitur (5. 287.) v. AC (= AI. CD. LIAL) =
AE. CD. is AF, seu, quia CD tancundem cH ac 2BF, =sBF.
Frie