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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
# Folio 90, page id 1032977698:0112
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90
Analysis Infinitorum.
CAP. I.
89. OUapEOPECE, ut ad rem propius acce
damus, cum in FIZ. ZZIII. ND. L, ubi curv2
AD F VerTUS aXCM AO COnCaVA CA, sC GP
1cu0= eti cricy e = h0 = he + hi, _ aequario
ne in analosismum resolutâ y - B: B:: 1: e. unde
pacethoc in calu hesse minorem ipla v.
Si verO, UA FIC. XYTII. NTD. 2, CuEVa ADF
vertus AOconrexa est, erit GI sCu 0 = e = 1
adcoquey e = B0 = he = hi, Ccu hi = hc -ye
e aquatione ad proportionem redact a h -y: B.:
i: c. Unde patet rursum hoc in casu contrarium
crenire, achesemaijorem ip(a y.
00. Onde tandem, vocata currd P LI curs
va subtancentiali ex proprietate superius memo-
xata, hic emersir in curris quibussibet curvatu-
rarum character.
Si ad curra cujulris D E OrdinaCaM F P a∞-
Plicetur curra subtansentialis P L L. Hlujusque
SuBTanSeNS F F PCU h FHICTIEMINOE CUIEVX CxPOLI
ex applicatap; erit curra AD F vertus axem
Tuum A O COnCAVA.
Si vero tuerit subtangens h major iplay, Con-
erarium obtinebit, ac curra AD F. verlus axem
LULM A O CKIECONVOKA.
Or. OuodS FIZ. XXIII. NTO. 1. T O_ B PNON
IN FI L eC F I. ad ordinatam P P Icuy, Sed in O a
ec P a ad interceptam A  scu x applicentur; exit
hocincasu A a a curra subtangentialis, in qu’à