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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 84, page id 1032977698:0106
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84
Analyses Infinitorum.
CAP.
rea dererminata; Aatque p: F:: a: e: : r: Z, 912e 2
applicetur in sS, ad F HI: a, idque perperim.
conec per omnium applicatarum extremitates.
esCriBI GUCAE CUEVa R SS. OuderITUE HIK: d, un-
de dUCTa RS CUEVAM R SS Contingat. CA MS: a,
Sicque M R: O seTIEL. HI K: XI S:: MS: M R. d: Z::
2: 0, eC hinc d0 = Z A =ir e, ex hypotheA
FIIo. POTIEA CUEVA YE P ejulmodi, uE HI L CIE
constanter aequalis ips O7 scu r; ductaque
FF eam cangenti AIE F HI: B, Crit, IUIXTa S. 78.
FFL: EXL:: GL: GF. CCWB: F: : a: e + 1, Undc he + hi
aF  Y C.
IIF Redacta aeguatione data ad infinites
F
12225, Crit Y C
r: Z +0; Unde remoris per 5. 6 d7, rejectaneis.
2.4 + y = r e L YD; CC GuIa Z a = r e, CAy d = ri:
unce o  y  d adeoque e
aC ultimo quaSICa d= y = B.
y
B
84. Repetiris omnibus, (IEF. γ:: C: a:: r. f; appli-
cetur continuo fad e, seu 0Z 2d9 P, uthacp
rione constituatur curva Z x: cujus ducenda FIc
EAIIGCNSWZ. EIE PI: b, infinitelim a VZ: 2, exit
W: DF:: Y
R: V 2. b: f:: e: d. WndC fe = Ba
III. SIE CVEVa LA TaliSNatIIEZ, Ut ( a PeF-
vetuo ipsi 07 Ccut aqualis sIE; e Y: n unde
ducta YA Curram L A tansie; exit O Y: O 1::
ANV: N A, TCLN: F:: C: C + 1. er∞O +B= n C + nI5
E