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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 722, page id 1032977698:0294
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722
Analusis Infinitorum. C AD. VII
valorem ipsius y ad maximum aut minimum
determ inare.
ANumtiS, d, _ r, quarum utraque CON
stantis quidem magnitudinis sed pro arbitrio su
mendae supponitur, ac juxta calculi conditio.
nem nunc negaciros, nunc aftirmatirosnume.
merossignificare: ducatur aequatio primo in d.
ac deinde in ar, Ceu simul et semet in dx1,
numeror iplius x potestatem detionante; ob
5+r
tinebitue dx
2 +r
= b d X
=dccyX + bbcc d X
4 +
+
dyyx
+r
+ db ∞ = 0.
in qua, si juxta praecedentem, singuli termini
 Continentes per numerum poteltarem ipsus X
exponentem multiplicentur, emerget 5 fr a
+ r
X
+r
4= rb d de
2 + r
no
=r dy
+
+r
dccyx 4, +r bbccdX +rd b X = 0,
Pro aequatione ad extremum determinata; quae
ideo per xr rursum dirila exhibebit:
5+ r d X
= 4 = + b d X = q = r a
dccyx + 1 +r dbbccx Frdb  0.
Adeoque aequationem expositam qualibet
prosrestione arichmetica juxta leges Fuddenia-
ni theorematis, multiplicatum.
Cdrod.