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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 33, page id 1032977698:0055
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.71
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d
ut
A
d
ii
a1
ti0
X
i
d
C AP. I.
Analysis infinitorum.
9D: Y, Aat AP: X + C, _ P F: y + 4, Candem
redituram aequarionem, Facile animadvertet.
29. Cum autem termini limplices ad parabo.
loides, mixti ad hyperboloides, commode re-
Ferri posse rideantur; utriusque tansentem exem-
Pliloco per inventum modo canonem definie-
mus. Sicparaboloides; ejulre complementum
y
Cujus aquatio y P = rP QX Q; exIE + = grP=q X G F
_
u
applicata Fractione ad currae equationem.
Sithyperboloides cujus aequario y P X 4 = 5P r8,
exic haec per 5. 17, Ordinata: yD x 2() yP X 4
PYPX 1
_ += - 9yPx 9-1  -  Siguum auteti
nesatirum hicinnuere, iplam+ ab altera parte
iplius applicatae respectu x sumendam esse, cui-
visnotum el.
20. Nec terminos tantum rarionales; inte
Orosque deposcithac methodus, verum et Pele
ad quosliber surdos fractosque extendit.
Sic verb: sratia expolita cuerae aequatio,
3 4 3Y Y 3 + sC-
X 4
X + r. OpOrtet Ci
Subtanisenteni designare.
Onem in sinem, juxta L. Cmm. 50, _cC. hoc mo-
o denotetur aeguatio.