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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 176, page id 1032977698:0198
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17C
Sinalisis Infinitorum.
C AP. II.
DE, = W, item di= h, crit spatium 988
seu omnia h it aequale duplo spatio O5O,
Teu 2; quarc Z vel hpro arbitrio POsita, quae
rectat hoc modo determinatur, cA enim,
TD, S: DF, W:: OT, t: DFI, c. Unde C =
E U
9 1
t2u
u
5 = 2, Quare sy = B = 2 3 e tandem
t~~ = Shy; Unde Patet propolitum.
Corell. I. Hoc in exemplum: SII F. XLVIII. Epi-
ralis DVSF Pad Circulum AP X PertinenS, cujuS
racius, r, Peripheria, d, SD: Z, D P: t recta ES taN-
eac (piralem in S, infinitesimae, 5L: C, EL L: a, TIF
que juxta quemris tum inradiotum in circum-
Ferentia motum, vocato areu P A ad lineam S D
selatiro: c, reguatio spiralis, rk: d5:: pk: c5
crit juxta 5. 67 C ap. I. de tangCHE. D F PCH s=
ec2
Sr, _C Per ClErX aequationem ip(O C AMOTO
55 q k +5
d5k5
= 2
k + 5
dux aequatio cst ad p2-
rabolarum unam; ducto enim ad spiralis prini-
cipium P radioD P, FactaquC D M = DS = Z,
_ DL = D A; CrIt L ML = HS = a, POsitag.
DF seu F in ML N, donec per omnia N duci
DONIEC AErA D NO R; eritt applicata, _D MI
sCU Z ITCTCCPEA, AC R P =
5 q _ rectan-
sulum