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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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C AP. II.
Analrsis Insinitorum.
AC littera, d, m, 5,l, f, k. n, p, quantitatum
praepolitarum poteltatem delignent; itemt,
verum haec binomii, lineola superinducta no-
cati, dignitarem generalem signiticae; reli-
quXe, Z, 8, g, c, h, b, Cunc lingulae ad locum quen-
dam spatio menturabilem; qualia sunt rectangu-
lum, triangulum, paraboloidea quaecunque,
auc hyperbolitormin; qua hoc in exemplo
tantum considerabimus.
Dico, CiRaFf= 2, currilincum, cujus applica-
tay, quadraturam admittere, consequentixe ratio
ex S. II. cum annexis corollariis manifesta eAt.
Lx: Cr: Factism = d, irem sec lnihilo xqua-
libus, omnibusque. ad dignitarem pcrectis, 2C
tandem in analogismum resolutis, Het bn: hi::
a
2 : y. Inde positorurtum d = L, Cmer-
set haecce, cum y suxposita sic unius dimen-
lionis, inter porectatum exponentes aequatio
+
l
=2, seu pF + k -- p =1 B:; denique
uc a simplicissimis incipiamus, altumtis b = r,
B= X 3 Z = Y, g = X, OTITUE PEOPOETIONOVA,
quae, Facto += 2, in sequenrem abibitrC: xl:: r Y X
YP, quae, sirno negatiro recento, est curvi-
linei a Clar: Slassomenturati.
Sic e pro varia rum quancitatum, tum expo-
mencium assumtione rariae continuo ena lcuntur
CHI-