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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 167, page id 1066518432:0195
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DE VTRTBUS ET MOTTDUS CORBOKUM. LIB. II. 167
Sint iterum, ut in praecedenti problemate, Z Z, CD, DE, Aa cle-
MeNTA CUrVA Z DA aequalia, _DL, EI ordinatae axi AR rectae,
Dr vero et Ep eidem axi parallelae, et reliquis ductis quales in A-
Sura apparenE. Tam, quia omnia in aequilibrio sunt per hrpothesin
et (5. 260.) elementum currae CD pressuram sustinet aequalem pon-
deri prismatis liquidi CD. LO, cum LO sit ordinata scalae grari-
cationum, potentia qua elementum CD uroetur juxta directionem
Derpendicularem exit DC. DHI Facta DII ubique aequali homologx
LO, e quia insuper ob omnes potentias currae perpendiculares
(5. 96.) Frmitas lincei in omnibus punctis cadem e, atque adeo per
datam quantitatem A designari potest, erit (5. 98.) sFII seu omnes
FTI: DN = Zy = A: DC; vel quia ZY cranclcit pexe ipta DN, Aet
SFHI: DN = A: DC, ec permutando sFHI: A = DNI: DC. Jam, quia
Potencia FFI, quae ex DHI derirata est, non solum punctum D, sed
inteorum elementum DC respicit, loco FTI poni debet FII. DC
Perinde ac loco DH in hoc casu intelligi debet DII. DC, et quia
Praeterea FII. DC (propter triangulorum DHIF ex CDM Cimilitu-
dinem) aequale est rec- l0 DTI. MD, rel DHI. NE, id cAt, LO. LI,
crunt omnia LO. II arex RLO inscripta aequalia huic area; ergo
SFTI, id CAt, arCA RLO: A = DN: DF vel DC, et haec analogia re-
spectu elementi CUrrX Aa HCE area ROsb vel ROSA: A = ab: a A,
unde, quia in A, elementum a A = ab, erit etiam A = aFCK ROSA,
adeoque prxecedens analogia RLO: A = DN: NP. mutabitur in
RLO: R AS =DNI: NF.
Sic denigue Curra ROT ejuS NaTUEX, UEreC. lumSA. NY sIF = tri
LInCO ROSA, _E SA. LO = FrilincO ROL., CrIEquO ROL: RAS =
AS. LO: AS. AT = LO: AT: AndC CAM INVENCTIMUS ROLR:
BASR =DNT: NE, erit etiam LO: AT = DNT: NE. FTINC CCnErO
A interralloque AT descripto quadrante circuli TIEV, ductaque
per  rectae R A parallela OI quadranti occurrente in K, ac deni-
que acta AI, crit etiam AI: AI = DNY: DB, atque adeo triangu-
Ia DNE _E AIR sunt similia ex similiter posita, ac proinde radius
AK paraIICIUS CFIE FaNGENEI CUEVa guxesiEX in puncto D. Pricque
PaTItEK DN: NE = AI: IK. Oux crant invenienda.
COK OL L A R F I M T.
308. Ducta Pel Glaurantis punctum la cansence ka, li in secta
L.O sumatur LB =Ra et sic respectu cujuoris alius cuerae puncti,
Omnia