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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 47, page id 1032977698:0069
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10
t
et
1I
C AD. I.
Analysis Infinitorum.
seu y quidem per infiniretimama; A SCU X
per e; F SCUBDCEH; QXICUfDCEO; _DK
lCu2 PeCI.
Concipianturque ex supea inventis aequationi-
bustotcurrae, quarum applicarae sint h, f, 2,
descriptae esse ad axem Conchoidis AF, quorD
onationum inibi repertarum multitudo requirie,
quas tamen curras ex instituto omisimus, ut
Pateat hanc quidem methodum currarum ista-
rum descriptionem pro demonstratione sui 28.
noscere, in ipta aurem problemaris solutione
cas absolure necesarias non esse) ac redigantur
ae guationes ad infinitelimas:
CrIFCXT, r = X - e = h + u; UndC 2s  - e.
CxII, 5 + Y - X - C = f +0. Unde 0 = c.
exIMIrf+rO =BZ + hi +Z u unde ro = hi+ ZW.
exIV. yy + 2a7 +ff + 2 f0= 22+ 2 21, unde
Y a + f0 21.
Jam, locon e oponendo = c, in TII. _IV.
Fet 2
-r e
I 3
QMarC a = 22e-r 2C + h50
1-fe
CAenim ex curVd Z L. t: D. y:: DE. C:
FIF. a, Undet =
hyy
2- YZ =Bf.
Noreturhinc consequi compendiolam illam
constructionem a Cartesso lib. II. Geom: insinua-
tam, est enim Conchoidi in D normalem recta
in axc determinans =+33
52
12 +f.