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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 42, page id 1032977698:0064
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42
Analysis Infinitorum.
C AP. I.
existentibus, QP, FZL, GM, ZK, Ceu e, a, 0,i
intiniresimis. Fmerserque, juxta superius
iradica, aequario ad infinitesimas reducta,
+0 - 2 - i = y + a, ec deletis delendis, Cx 8. 6,
i a.
Ex qua sublatis infinicesimis inrenietur curre
expolitx (ubtansens X 9 scut.
HoC autem duplici modo eRectum dari po
test, quorum uterque examinari quodamiodo
meretur.
Primus modus in eo consistie, UE, PEXTEE X-
quarionem ta = y e expositae cuera ordinariam.
aequariones atumta omnes ad infinitelimas re-
digantur: _ opcharum infinitesima ex aqua-
tione ex assumtis orra, ad infiniretimas tamen
priusreducta, auEcranEUE.
Sic allumta aequatio prima Fuit rr X + y3 = f:
quae ad infiniresimas redacta exhribebit o=i
re L 339a
33
Secunda aNtumta aequatio, rr + X X =, ZZ,
 C
Ouibus raloribus in aequationc 0 - 2 = B FC.
potitis, orietur
120- 35] X e
3552 = 39yZ  a  CX XGu2-
tione modo inventâ, unde emersit qualita sub.
CAHSCNS F= 3.F52y --3y
1
2
(X