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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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(50 Analysis Infinitorum.
∞AP. 1
bis repetitur, (olo rry+ exittence simplisi.
cumque etiam pateat terminos mixtos per in
determinatarum respectirum dimensionum nuI.
merum dirilos eundem guotientem relinque
se. Tractionem iptam s exprimenrem in Fer-
minis aequationis proximis datam ese iam Cer.
ei Tumus, IuXta 5. 93. enumerata criteria:
adeoque simplici ex more tractato, dc mixro.
rum iildem indeterminatis constantium unico
rETEHIO, CXOLIEUI RQUaTIO CALVX y Z X X
= 2ry 22 = = r r y, = 0 aut ad dit a qua-
libet determinata quancitate, y Z XX = Zry Z2
=rry + p = O.
IYB. Decerminatam quantitatem semper in-
ventxe aequationi addi posse, ex tansentium
mechodo directâ patet, cum in subtansenti
inquirenda continuo excidat; quin ac ali-
quanido necellarium videtur.
Exemp. LV. DetIE D = ZX Fy CrIt 2 X X
+ X y + X y adCDgHC X X F Xy .  O, XquatIO qua-
lica, sen addlita decerminata X X + X y = p p,
cum primo inventa aequatio, non nili Fallam
radtisem admietat.
95. TFO-