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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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E 2 2
Analysis Infinitorum.
CAP. II.
currae urriulque aeguationem reperta; hoc ett,
in parabolar k= rcn; in hyperbolabk cxc-
exprimencur omnia yke in parabola per c: +n
C + - 
F + n
inr e=n; 2t in hyperbola per, - n in bkCn.
Onderideturnasci lemma a Clar: MLercatOrO
PCOD. XVI. Logarichmorechn: sux demonstra-
tum: cuique soli exercirarionem suam super-
steuxir ingeniosi: D: Grecorius. cum enim
Sine omnia yke = omni rk- - n gn e in pacabola.
et in hyperboli bhonx =ne: manifectum est
(rejectis utrinque quancientibus dererminacis.
uepore nullam murationem inferentibus) Fore
perpetuo omnia x +
C
C1 L n
+n i Facta scilicee
axima x = F. ex quo sequitur hioc generale.
Coroll. YIIL. Si linea recta, AO: c, in DartCS
inpumerabiles seu infinicesiras e diridatur, erit
Cumma quarumvis dignicarum ab immumeris rec.
eisu A: X, ab extremitaro A propolice rectae con-
cinuo incipiencibus genitarum (quarumque sin-
sula in insimicelimam propriam ON: e, ip(2-
rum terminos respectiros claudentem mulcipli
n
SIEX LUNE) scuomniumx c, equalia recta
expOSICX, A Oi5, seu maxima e porestari a(-
sumtis pocelcaribus iplarum x proxime luperiori,
DC BIVILA PEK LHUMI ExDOHENEE:
Fn
t n
eatio
CK