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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)
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+38
Analysis Insinitorum.
C AP. II.
in infinicum, intinica dantur spatia mensurabi-
lia, ec alsumto cuidam curvilinco aequalia.
Ex: O: inhypochesi primahe  Z a, Tact a 2
aequali determinataer, crit h= ; unde, y e t
excurrx AD F relatione corniris, erit ASa
aequale omnibus ra Icu ry seu rectansula
FOGK. Idem Ci Frac in hypochesi secunda h0
=2u erith = i e spatium +5O aequalere-
ctangulo a eou, seur in curvam AF; quod si aNu-
MATUIEZ = cerit he= cu; d spatium AOS X2
quale Temiguadrato curva AF.
Coroll. TFL. Dec hypochelis in duobus tan-
cum terminis consiltat necesse eMt, cum inFIMIEIS
fere modis variata astumi vorsir. Sit in exem-
plum ye + x a =ihe; est p0 ad curvilincum
AFO, x a ad ejus complementum AF V, ∞
hc (Facto oC = h) ad crilincum A5O; un
de hoc in calu semper A aC = rectangulo
XD Q A. Quod A Proprietatem CHEVE AC 5
invenire quis velit (cum ex dara curra AF. F.
CTIaM X eC y daTA (INE) CMy c= Fa; adeoquo
X y. F cy
; QuX ODCCUErX AD F expreNa PeF
interceptam x dabit quaesitum.
Sic arTumto Z a + he = fu (polita fpro terria
in determinata ada. applicabili) unica V erb. CiF.
pro lubitu decerminata =r ec clilis intinitesi-
inis