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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 280, page id 1032977698:0302
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280 Analysis Infenitorum.
C aP. VIII.
fanea apcissimo usitatoque Clar. Nevtono tech.
nolosemate appellemus, eodem hoc tonte cal
culi, ab inelsto hoc Authore in protundisima
eruditionis de Phil. Nat. Princ. Math. tractatu
achibici, demonstratio haurictur.
5. 6. Trisce corollarii ad inctar annecti, in
simulque contiemari posset, Scholio, 5. 13.
Cap. II. subnexo, terminos aequationum inde-
terminatos ad intinitelimas redisendi insipur-
ta, adeoque inde perenda methoctus; quae
licet fractionibus reguationem ac irrationo sieti
bus liberam postulet, non paucistamen in casi-
bus terminos disferentialium simplicissimos.
compendiole magis, quam modo traditus cal.
culi disserentialis alcorithmus exhibet.
5. 7. Poslet differentialis hic alcorithmus u
terius extendi, ac guantitatum, qui potesta-
cum indices indeterminaros habene, differentia-
libus assignandis adhiberi.
Ouaeritur verb. GP. ipsius y disserentiale ?
Fiat y = Z, aC DOsItO X F C lOCO X, y + B
locoy, Z + _ loco 2, erit y + a ad potestatem
∞ +e crecta = 2 F W, unde mulciplicatione in-
Rituca, 2c rejectis per lemm: 20 rejiciendis,
X + c
didelent
d
N 4 e  1
 Z + 1; aC de
1