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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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Analysis Infinitorum.
C AP. I.
TP. Omnes termini, quos x intercepta in.
sreditur, Aatuantur ad dextram, adeoque oii
nestermini mixtiy ec x Cunul continentes, juxta
5. 25. d 26, ab utraque parre aequationis sub con-
trariis sienis videbuntur.
TIF0. Sinsuli ad sinistram positi in numerum
dimentionum iplorum y respectire dueantur;
5. TY. eC 16.
PVo. Singuli a dextra per numerum iptorum x
respectire multiplicentur, ac unica ipsus xe di-
mensione multati ducantur int, 5. 12. 8c16.
Et habebitur, ex data cujuslibet curva x
quatione inter applicatam ec interceptam consti-
tura, aequario ad tansenrem determinata,
EX: CP: ex data currae requarione; 5. 4 5
X + γ X X +  X = y = 9y X = ky = 5 = O; CTIE
Juxta 1YO, 2. y 47y _ y x x + ky xquationis
PaES Sinictra; eC X =Y X ∞ = yy X + lX DaES
dextra, unde _ hac facie apparebii aequario
1+ yy ∞ y ∞ X +. k y (7 X +y X X = y y X + l X:
_, Pec VI0. IIT. XIV, lingulis x e rin respecti
vum dimensionum numerum ductis, ac d dex
exa x in + mutaro, tet equatio adtansentem:
37 + 277 ∞ = y X ∞ + ky = 3 X X t + 2y ∞ + -
y+ + I2, ut supra.
28. Oux autem de figuris vertus axem conca-
vis demonstravimus; aliis vertus axem convexis
quiris applicabit, ac, A Facto A
2D.