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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 172, page id 1032977698:0194
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17.
Analysis Insinitorum. CAP. II.
poc pryc
=fr: Jam vero (I f leu FanSCNS A 7
vocetUEn, ipli4. Iugites aqualiS AALUMaEUK G N,
aOnCC CXOETA FUICFIE CUEVa HOVA ANVR, erit
pne
f0=latr; d sumtis omnibus infinities, om-
nia fo seu spat: AW VD aequantur omnib. la
seu spatio 5 Z ML A, Una Cum SpatIO A, 2, 8.
seu omnib ne ducto in r.
Onde cursum conchoidis ad alius generis cur-
vilinca ratio innorelcit.
5. 46. SIE, FIC. XXXIX. FadiuS AO: r, e
AD arcuscirculi, A9: X, OD: y; AC POrtio
Cissoidis cujus applicata
X X
AB parscuerX, cujus applicata OB:
= k
quaeritur Arca ABD ratio ad semicirculum; seu
omnium kc ad omnia p e. aequatio semiciecu-
liest: 2r X = X x = py, quae redacta ad infinite
LimaS dabit, re = x e = ya, e ducta II X aC
dirisa per y extribebit.
YXC X X C
u
L X a, PeI
ke e = Z c = x a: e vocatis omnib. k e Peu
ABO: d, tum omnib. Z e scu ACO: 
dCOM-
nib. x a seu complemento portionis circularis
AD X: b, cA f = d = b = 3c = 2 p Cx 8. 44.
facto nimirum scemento lemicirculi ADO: =C.
eCFCC.