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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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CAB. I.
Analusis Infinitorum.
2Y0. 2. CrICL X +: fX X trrX-
in0, d quario everae desiderata.
Exemp. II: Detue i
1)
3Y.3 =2797 -- 2g yy XX p
s X X + 27 X 4yy
erie omnibus juxca X. 1. Peractis
3X +2y X X +y y X = 39 = 2Yy y + 2 X 7y t X X Y
ubi cum mixri adsinE; 2Y X X _ X X y, icem
gyX d 2 Xgy singuli secundum duorum inde.
rerminatarum numerum bis reperiti. si mixio
rum indeterminatas concinencium alter per
dimensignes ipsius x, alier per dimensiones ip.
hus, juxta N. TII. dividacur, orientur iermi-
ni y X x Fpy x secundum N. ZV: simplicibus-
que per suarum indeterminatarum exponentes
diritis, nasceme aequario currae reguisita
X + y X X + yy X - y - + y y =0.
Exemp. III. He dutem eequationes, qui
curras involvune, neglexisse ridear, sic; polits
e LOcOcuera;
6ry1 2
2+ 4r71 45 + rry 1 - 9XX Z1 = 39XX Z15
27XZ
cui oportet aequationem curvae consruam exhi:
Derc. quare juxta NV. 2, sin x, ac sin L ver:
so, omnibusque terminis ad cundem parrem re
tractis crie
2yZ X X F gE X X + 3y~ X X = 6Yy EF
=4Yy 2Z - +ry
libi terminus jx X x eres continens indecermina-
rds Ter, 2CF4 L Z duas habesis indecerminicas,
od