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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 240, page id 1032977698:0262
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240
Analysis Insinitorum.
CAD. V.
Ouod ad quostibet omnium u valores 5. I.
recentios quiris juxta superiorum normam ac-
commodabie.
5. 5. Ouo veromodohec methodus curris,
tum verlus axem concavis applicari queat s
tum ec quo pacto. Si curranon ad axem, sed
2d punctum referatur, haec tractanda (InE; Pex
cedentia intelligenti latis manifestum eAt.
In exemplum, rEPCTatUE FIZ. XLVTTT. Sitque
DVSP eadem spiralis, quam C ap. II. proP.
XLIX. Cor. 2. discussimus, talisnimirum, quae
circuli radios BD ad cundem semper angulum
SCCat; FIaEGUC SH = W, tum VOCatIS SF: 5,
SD: 2, HIL: a, CVEVa DVS: C, Factaque
constanti ratione ipsIuS Wt ad a ca quxe est b ad 9.
erit perpetuo qu= b a; quae ad terminos ab(o-
lutos per C ap. II. 5. +3. reducta dabuntgc = b 2;
scd b: 9: : 5: 2, ergo 95 = br = 90, 2dcoque
Sun c, Quod(c extendatur ad intinitam spira-
lem, exit G P = s; unde intinita haec spiralis
ipsi C P spiralem in puncto P tansenti adx
Quatur.
5. 6. SICFIZ. LX XVT. CUIEVa AZ XD E constans
infinitis rectulis F D, D X, XZ, ec. seu toridem
u, quam continsat recta BD in F; ip(x au
tem curram constituentes infinitesimae produc.
exarem B A interlecent in punctes T, MV, N, R,
_EC. aRLLMATUEqNC F O = D F; item VO =