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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 201, page id 1066518432:0229
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2
DE VTRTDUS ET MOTIBUS CORPORUM. LIB. II. 201
C OR OL L A R Y u M II.
361. Nam si scala elasticitatum aeris A2D+D Fuerit linea recta,
hoc est, si clasticitas aëris, aut vis comprimens, est ut densItaS, Curra
E TE2F. erit hyperbola conica intra alzmptotas C A ex AO deleri-
Pta; eA enim TETO: FO =OD: TOID (PFODFCF reCtaM A2DID)
=AO: A1O. Hlinc, Si hyperbolae quadrilincxe FOTOTE,
TOZO2FLE, ec. sint aequales inter se, et hisce aequalibus quadri-
lineis aequentur totidem in scala graritatis variabilis ACFC IA,
TATCZCZA, ec. homotox ordinatae AB, TATB, 2A2B, ec. in
scala densitatum BFBZB crunt continus proportionales. Nam
propter aequalitatem trapeziorum huperbolicorum OTF, TO2F, _C.
abscIsa AO, ATO, A2O, _c. vel abscissis hisce respectirae Or-
dinatae in scala clasticitatis OD, TOFD, 2O2D, _c. hoc CA AB,
TATB, 2A2B, ec. ipsis eodem ordine sumtis aequales crunt in con-
tinua ratione. Idcirco, Ci rires comprimentes, vel aequiralentes rires
clasticx aeris densitatibus ejus proportionales, in seala rero grari
tatis quadrilinea ACTOTA, TATCZC2A, EC. aequalia Fuerint, den-
SitateS aeris in lOciS A, TA, 2A, ecC. erunt semper in continua ra-
tionc.
C OR OF L A R F u M TTT.
362. FropCC A graritas in lOcOquOlibCE TA, Peu OrdinATA TALC
FHICTIE RCCIPYOCC UE OTA, existente curra C 1C2C hyperbola in-
detiniti gradus exponentisn, et magnitudines OA. =n, OTA. =n
O2A =n, ecc. Tumantur in progressione arithmetica alcendente, Or-
dinatae scalae densitatum AB, TATB, 2A2B, XC. CrunE Continue
provortionales. Nam quia OA, = n, OTA, =n, O2A =n, _C. PrO-
portionales lunt hisce sequentibus eodem ordine Cumtis O2A = 
OrA =; OA =2, _C. hisce jam proportionantur rectansula OA.
AC, OTA. TATC, O2A. 2A2C, ScC. eroo haec rectanoula sunt
etiam in progrectione arithmetica, atque adeo (OTA. TATC =OA.
AC): n = X id eA, juxta ea quae 5. 360. dicta sunt, quadrilineum
ACTOTA AQUatUE (O2A. 2A2C =OTA. IATC): n = E, PeuU qua-
drilineo TAFCZC2A, adeoque (5. 36L.) ordinatae AB, TATB,
2A2B, etc. erune continue proportionales.
D.