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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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analisis Insinitorum:
CAP. I.
p.  a X= e, ForO- copulatis, concrario
signo ac primi afficiantur, tota aequatio compa-
rebit sub fignis aequarioni ad currem contrariis:
undemuratis omnibus, (quod Calvâ aequarione
heri Posseirronibus netum est) utraque aequa-
tio hoc in calu, (de cateris quilibet Facile judi
cabir) iidem signis in respecciris terminis affec
ia esse videbitur.
24. Hinc recula tansentes ducendi oritur;
cum curra aquationem habet terminis simplici:
bus constantem; Fx: CF: data fII CUrVA X
quatio; y. - 5y, + k y - X + l X X  M B
+ n L o qUX ordinetu, Ut Omnes y a
Tinistra; omnes x 3 dextra inveniantur, exie
y 5y3 + Ry = ∞ - IX X + M X = n unde,
juxta 5. 11, 12, 73, Tingulis terminis per ipla
rum u e x dirriensionum numerum multipii
catis, ac unica x int mutara exsursee aequatio
adtansentem.
49 = 3593 + 2ky = 4u 7 - 21 Xt + mF.
25. Jam vero terminos mixtos consideranti
bus, opparet ex singulis termminis mixris binos
proaequatione ad tangentem terminos oriri; siI
enim terminus inixtus pcx, ec cacb porc
Ratum iptarum y _ X expOnemeS, oriun
tUx CxyC, IOXTZ, S. Z, terminis jeL cap0- Y
item ex xb termini xb = b ex b =1, qui in se
munto