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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 245, page id 1032977698:0267
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D
CAP. V.
Analu sis Infinitorum.
minOS PTOximOS ad INTCFCCPEaM MO juXta 2C
applicata N O relatirosreduCAtUE.
Schol. II. Data rero curvilineorum quadea-
tura. quo pacto methodus tangentium inverla
inter cognita redigi possit, hic in trronum sra-
tiam oltendam, licet loco Forlan minus opPor
TUnO.
C51 2 CiS. t st  s
Ouxritur ergo (Eig. XLXIX. X quatIO CUEVX
AD F, cujus applicata DO = ZO SIC y, e
HGNOI CAAEIEF2y3Fil
2O Cubrangens seu F (IE= 3 r Y - 1 BC
Vocatis, OP sen DH: C, d FHI: a, UE
Cemper, NaL. Y: g: : e: a: : ~: r dC FIE r determi-
nata; Crit Z a = re; quare applicata Con(TAN-
ter Z, In YMI ad as UE Eat CurrilinCLM ZMO
aequale oinnibus Z a applicetur r2d c in CZ,
ut tat rectangulum AGZ O sequale omnibus
r c. Tlinc (I A O vocetur x, crune omnia
re = rx ex Cap. II. S. 13. adeOquC rX =: OM -
nia Z a = spatium. TMO; Ced + (Cu 31Y.
it
2 y y
V: : Z: r, Unde 3rZ = 297, d Z = 3r3 2d
complementum parabola FOK; quod juxta
peaecedentia quadrabile est _ = 3ZY; led, Der
modo assumta, omnia Z a (Cu : L. Y X GuatuEOIM-
BY X
omnibus re Peu rX, QuarC Z = y
2 y 9
3Y 3
unde
24.E