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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 117, page id 1032977698:0139
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CAP. II. Analysis Infinitorum.
ctansulum circum scripr. SAFO, ur p 3d 7 + 9; lc1
ut expOnens potectaris applicatarUII, 2d CxpO.
nentium axplicacarum ee parcium axis lumanI.
Coroll. TT. Sit ZIC. X X X. hyperboloides
quodlibecCED V, ad a(SMIOIOS K A, AO iel2-
cum, cujus aequatio, rerentis lsmbolis superio-
LIbUS y P X q = SPYE; exIF Ob FAHSeNTEMI D F li
L g: jaM VeTO, CLM HE yC = + a erie
nC2 6)
Polito perperim 2Z seu + in L MI, reCtanSU
PHFCUyC, Terriper Xquale NICL
rectansula seura; adcogue. Si id hat continuo,
exit AZuTa K AO BC versus K C interminata, lei
omnia re, =gualiS FITUIEX X N SF, PCU OMMH.
P2
2
F a = OMH. g. atqui (rocaris brevitaris cau
sa ABHEa X AOBC: f, e rectangulo infCrIDTO
NBO A: B,) Cxic AGUEA X N BC: f-- B =A OMIM
X a, (CUI SD SIE = X. _GP = a) unde omnia
PX a
q seu omnia y e seu f, ad omnia x a Ccuf = B
ut p adg; ec p: p = g.: f: h; hDC CAt F. BUTA K AOBC
ad rectansulum inseriprum N AOB, UE expOneNS
poceltatis applicatarum p, ad diferentiam CxpO-
mentium applicatarum dc parcium axisp = q. Wtde
lequitur, Polita ominori quam p, curram: versus
Kincerminatam esse menturabilem; E. p= g, infini-
cam: Cig maior quam p. plusquam innita: item
hrperboloidea omn. (lola Apollonand C CCPTa)
26 21Had PAF-