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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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CaP. II. Analysis Infinitorum.
_ rectanguIO X p = 2 r Z = X Z = p) unde d = 3C
Fb = 2 P, ec cum Sitb + c = p, tandem d = 2c = P.
AOTCtUE, SI SIEX = 2r FOrCp = 0, odcognC
 26, hoc est tocum curvilincum d, cujus
x
applicata: y aquatur duplo totius semicii-
culi, Peu 26.
Hlujus currilinci aream 5. 26. Coroll. TTL. alio
modo in ratione ad circulum cansentium OpC
dimensi Cumus.
8. 47. Ouinimo ee brerius sC efficitr,
dirisa circuli aequatione 2 Y ∞ = X X = y)
ZYXC X xC
Der y, ductisq. omnibus in e, Fiet:y
ye: Scu cumendo Cyibola PExcedentis 2d-
= c; e cum aequationem ad interra cuerili-
nea determinando (II juXTa 5. 44. f = 3c, erie
d = 26, UECUPEA.
5. 48. Stantibus iisdem, quaeritur currilinci
ABO, cujus applicata OB = 7, ratio ad cir-
CUILI.
AEquatio semicirculi insinitesimalis rC = X 0
yan ducta in r, ac dirita per y, dabity
YX e
X2
 = ra; FaMEOMIMIa y CCu ABO = 4.
YX C
omnia y seu AOC = d, omnia ra = A X