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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 158, page id 1032977698:0180
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158
analysis Infinitorum.
C AP. II.
33. Duoniam vero in trapezia non Colum, (ed
ec plucimum in triangula, idque rariis modis,
quae mensuranda pea manibus lunt, Polrgona
dispescere solent GiCOMetrx; HIE FIC. XL. P. C urva
AD F F, Cjulq. tangCnS ZDF, cui normalis
CA AR; dividaturq. Curvilincum AD F FO
quod juxta L. Cm. 26, ec 27 cum polroono
coincidit) ex puncto A in triangula ADF, AF F
e similia; ac caeteris rocatis; ut laepius, dicatur
AR: B, Cxit Z A: AR:: DF: F HI; CCU + - X:
n:: W: a; Guare + a = x a = n u; hoc est POStO
T A In TM, Fgura F KO sen omniata = X a
aequalis duplo bilinci AD F. F, quod constat
nu
toridem triangulis ADF seu 2 hoc eA
AR in DF.
2
Coroll. (IE, AD F, Paraboloides, cujus
aequatior X F y, exit + = q X adeo que t a -
PX a = gX a
Xe a =
Tune autem omnia X a xqua
lia complemento parabolico sAF, quod vo-
cetur f, ergo
P) 4f
X7
AD F; QuarC 2
q aequale duplo bilinci
 P.f445
24
F. Scutrian-
culum sA F minus bilinco ADE P aequale
9X)
trilinco sAD F: unde reducta aequationc p. + 9
f. uti supra jam aliquoties inventum.
34. Sic