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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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Analysis Infinitorum.
C. AP. I.
rx rectavumve nacura aut aliunde orram, respicere ne-
cessarium sIE.
Hxc praecedentibus rice perceptis probarione non
exene, alioquin ex axiom: II. immediate pronuencii
Schol. TI. Ne vero continuis Fractionum erieis im-
plicicus impediatur calculus, alia in polterum intni-
cestmarum nomenclacura compendium venabimur, ip
sam D P sCN D HI: C3 F H: a. D F LaNGCHCIS auE SI
mavis (iuxea Lemm. 25.) currae portioner u, appel-
lances, quod ee in segq:, nisecus moneacur, perpetim
obrinebie, ubi, (ola y excepta quam ordinacae deapua-
eioni reservamus, infinicesimas quascunque per vocales,
aUE CrxecaS lirreras denorabimuS.
4. Sicisitur everae cujusliber naturam, per li-
HeaS A P Peu x ec PF lcu y exprimens xquatia ita
ordinata, uc omnium terminorum lumma nihilo
aequiraleat: Verb: Or: x F y Xx F b X y qyx
=ky-5  0. Oporret ei cansentem desisna
+C.
5. Reducatur haec ad lineas A  d 9D
quae intinicesimas involvune, hoc cst, Ponatur
A_ Teu X e lOc0 AP seu x, item 9D
seu y = a loco y seu PF; Constitmeaque jux-
EA CUTVX datam PrOPrICtatem Equatione
OEientut.
Prox, CCCo, ∞3 = 3 e X X + 3e e X = es
Y g N N
Y X X  2C) N + 1e e.
a ∞o X Y 2 a e X = a C e.