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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 367, page id 1066518432:0395
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DE VERTEOS EF MIOTIBOS GORBORUM. LIB.II. 36=
Aliter ex Principio A. quilibrii canalium DC, PC.
640. DuCatUIT CF, eE, quia FF: FC (ConAtr.) = P: N; recta F F
craritatem in F. exponere potest, ec quoniam graritas est distantiis L
centro proportionalis, IE. L exponet graritatem in D, d reliquae Or-
dinatx in criangulo CK Y exponent graritatem in reliquis locis ca-
nalis DC, ergo graritas torius canalis DC exponetur triansuloCR Y.
ParI aFGUIMEnEO, AIC.V Fuerit =CP, exponcE triansulum C VZ, POn-
dus seu graritas canalis PC; differentia vero ponderum DC de PC,
QuX exPONItuE per trapezium VKVZ, aequiralet conatui centritu-
50 torius canalis DL vel DC (5. 635.) exponendo per triangulum.
PTIL, CrGO KYZV = triang. PIH, adcoque 2. IVZV =DL 2. AF
qui 2. IYZV CA ad KC =VC seu ad DC: = PC, rel quod idem
eA, ad LC: = DE2 = PC=, ut EF ad FC, Ceu P ad N. ErSODL:
DF= + TC = PC = P: N, eE Conrertendo DV: PO = L C2=P:
P = N. KX quo nunc iterum liquet id, quod praecedenti paragra-
Pho octentum, scilicet curram PDF elliplin conicam eRe, cujus se-
miaxis PC sic ad FC in subduplicata ratione P = NV ad P. Ouod
erat demonstrandum.
1. L Il. V. 1. CI.
6+T. Superest, ut rationem graritatis ab (olutx ad conatum centri-
Fusum sub aequatore, id est, rationem P ad N numeris expressam
exhribeamus, quod log-morum beneticio Facile praectabitur. Sit A
alticudo, quam grare a quiete calum incipiens motu naturaliter ac.
celerato tempore unius minuti secundi in linea verticali et in racuo
perlabitur, quam Flugenius reperit eNle 15. Ped. L. linexe; atque R.
significet radium aequatoris terrestris, retentisque P ex N pro nomi
nibus graritatis ex conatus centrifugi sed aequatore. Per (5. 15T.)
Y(2A: P) exponit tempus, quo alcitudo A motu naturaliter accele-
rato conticitur, quod tempus, (secundum hypothelin) est uniusmi-
nuti secundi; X, quia una revolutio diurna telluris, respectu tizarum,
elt 23. HOr. 56. min. Seu 86760. Secundorum, nominetur hic nume.
ruSn, exitque n (2A: P) expressio uniusrerolutionis diurna in mi-
nutis secundis, ex quia hoc idem tempus (5. 183.) etiam exponitur
Der pY (R: NV), uti p est exponens rationis circumterentix ad xa-
dium, habebimus aequationem nV (2A: P) = pr (R: NY), atque adco.
P: N = 2nnA: ppR. Jam, quia n ROnIFICaE 86T6O; A., 15. ped. T. lin.
= 2. 355: 123 =710: L133 ec. quia secundum Piccarti dimensionem,
EPLKAE.