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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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T18
Analysis Infinitorum.
CAP. II.
parre X terminabiles, ab altera v plusquam in-
terminabiles existere; cum, quae illic Fuireario
padp = g. hic sic g adg - p, quare constar. Sed
hraec in erronum sratiam.
CoroIl. TY P. TN EanSIE nOtO (SI Polam C COnO
sectam hyperbolen religuam Facias) FIg. XXXF.
omnia spatIa CBDF, F F GH, inter alymo-
roron ee hxperbolitormem quamlibet constitii-
ta, dc utrinque applicatis C B, DF, (CUF F.
E H, 2d eandem alzmtoron terminata, men(u-
ram admicrere; quod coroll: praecedenris non
disficile consectarium est. Unde curtum infinita
currarum genera quadrantur; Factis enim AG: y
A9: X 3 F F: 5, AF: Y; IICHUIC CUEVA COnre-
niens XquatiO pP X 4 = Ser9; jam autem piO.
dueta AP. Ceu b vertus N, huie 2d perpendi-
culum excitetur recta NV (; SC VOCaTIS AH: 2,
ZIXV: f, Et 2d has iplas aequatio ab atymiorisre-
ducacur, Deodibic 52 = rf iN rZ + 5fE
bP +q5VYg, quX FACD Y = s Aet Z = f
in Z + f = bp + 9.
Trilincum jam N F H esse quadrabile nemo
non videt, cum juxca mox proposira quadrili-
neum F F. G A menturam patiatur, modo
Pecg direesa sint magnitudinis.
Coroll. TV. Abunde quidem hinc innorescie,
FIZ. XXXIT. CE XXXIII. data cujuris genoris
P2