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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 177, page id 1032977698:0199
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Car. II. nalusis Infinitorum.
ar
6R = 5: SCd juXta S. FI. COr. l.
erie paraboloides DR P L + 25 = ommia t a,
c
2 = duplum arcae spiralis ex 5. 10; quare
kar
Epatium spirale RgUatE LF25, quod est ad Cir-
culum seu : dr, We k 2d k + 2 5; HaeC quoque,
sed alio modo demonstrata dedit doctissimus
Stusus in miscellaneis.
Corol. TI. Ouod (I spiralis ejus sIE natUER,
uc circuli radios BD ad eundem semper angu-
lum secet, crumc triansula SH P perpetuo simi-
lia, anvulus enim Y rectus est, _ H ex TuPPOM
eo in omnibus constanter aqualis. Sic erro 12-
terum ST: C ad H I: a PaLIO PEPIAMCNS UE p
adg, erit p a = 9 e, adcogne 92 e = pZa; X
Per 5. 13. conveclum spatium Epirale infiieum
e
SVD CCuOmN. 2 = 49; Ceu cum (IF p: 9: :
GD, n: PD, r, (DOCTa G P Spiralem in P CaM-
senti, ac GD ipsi D P normali) crunt omnia
C n2Z
2.
ir; unde calentum ad torum spirale (p2
tium P SVD aptando, erit 2 = r, ade09. hOC
nI
spatium infinitum = a = semitriangulo PD6.
NOtari POTesE, SI AB VOCCEUL: 0, FOrC e=