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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 306, page id 1066518432:0334
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206 DE V FRFBUS EY HIOTTBUS CORPORUM. LIE. II.
=ML2: MISE_ ConrertendOHEFG: FG (=-MI: LSE=TN: NO
seu quia IMI, NO e VO sunt in continua ratione) =TM: VO,
inC VO = F(, _ VO. O0 =FG. FC. AEqui (5. 49F. HUM. TFT.)
VO. O0 = NO. Np = LS. Lm (5. 493.) = NS. SS =ED. ad; CFSO
FG. FC = FD. ad. Ouod crat primum.
TI. Propter similitudinem ExIanGUIOTUM MLS eE NIm, fc ad
(vel mt): In (rel, 5. 463. num. EFZ, L1) CA = LS: NII. =NO: IM =
VO: NO; _ I: PP = NO (VOILS): MP; ac denique CX natuITA
108-mica (5. 49F. nUM. T.) Pp: g0 = MIP: IM, Crit eX aequo ad: eg =
VO: IMI, seu permutando ad: VO =eg: IMI: ACqui (5. 13T. &t 485.)
ad: VO =tEe, hoc eA, incrementum celeritatis clementare, appli-
Catum ad solicitationem acceleratricem VO, exponit tempusculum,
quo elementum spatii Fe percurritur; ergo etiam eg: IM = tCe, at-
que adeo omnia pg: IM, id cA, PG: LM = omnibus te, scu tem-
Pori delcentus per spatium MF.
TTI. Tam NIO sCu ME, id est, spatium descensu confectum, est
105- us rationis IM ad NO, scu IM ad LS, hoc eAt l0g- us finus
corius ad sinum complementi anguli INIL, cujus sinus rectusMIS ce-
leritatem in R acquisitam exponit. PO vero cst l0g-us rationis
PMI ad IMI, ICu TV ad IM; ducta SCilicCE CX CentrO M suPeF AP
perpendiculari, eaque producta usque ad occurlum cum tangente
TV; aut denique rationis MA ad AZ, id eAt, sinus torius ad tan-
sentem semissis anguli LMA, id es, Temistis complementi anguli
TMIL, Cujussinus NIS celeritatem acquisitam exponit. Idcirco tem-
DiIS PeF MIE, quod num. FT. hujus exDonitur Der PO: IMI, exPO-
ni debet per l0g. mum rationis (MIA: AZ) sinus totius ad tangen-
tem semissis complementi ansuli IML. applicatum ad radium INI,
Tcu ad 105. micae subtansentem. Oux omnia erane demonstranda.
C OE OE L A R L u M 1.
526. Lsitur ducta MR usque ad occurtum R cum hyperbola IK,
crilincum hyperbolicum IMK applicatum ad semissem quadrari INI,
expone etiam tempus descentus per spatium MF. Nam (5. 463.)
est duplum erilinci IMK = rec. IO PO. INT, ergo trilincum IMK =
PO. AIM. Tam, quia (5, 525. BUM. TT.) TME =PQ: IM = PO. IM:
IM, CrICMME = dupl. Frilin. IMR: IM = trilin. IMK: :IN.
Pariter duCta a(YMPEOTA MIy ByperbOla IKE, aEGuC Cx R demissa
2d alymptotam ordinata R V, ad quam alia quaedam hy se habeat,
UE