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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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266
Analysis Infinitorum. C AP. IX.
 A PV
T.
IX.
De Aquationum in Analysiinfinito.
rum natura, es proprietati-
5. +.
bus quibusdam.
1
Quationes indeterminatas (hoc
L enim nomine in locorum doctri
na PaNIM NOEX TUnE) vulsaris ConSdeFaE AnalY.
(IS; guxe duplici vid ad infinitesimales reducun
tur, vel Primoponendo x F e loco x _C. juxta
modum 5. L. X 5. C ap. I. traditum; Sic requatio in
determinata circulum speCtanS 2 r ∞ = 3 X = qy
hac ratione abibit in sequentem insinitesimalem
re x e = y a. vel secundo inteoram aequatio
nem per cujuslibet indeterminatae pro arbitrio
Cumtae infinitesimam multiplicando, siC ducen
do pracedentem in a CMeFSCE 2 Y X a = ~ X A
VYa.
Nocari potest, quarumliber aliarum indeter-
minatarum Z _ f infinirelimas W e i mo.
do hae luas indeterminatas tories ingrediantur;
quoties e ipsam x aut a iplam y, (quXe COn
ditio in simili ca lu perpetuo requiritur) hic ad
hiberi posse.
8. 2. L.X