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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 130, page id 1032977698:0152
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# Lines: 36 recognised, mean confidence 0.82
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+30
Analysis Infinitorum.
C ar. II.
Jam vero appellatis, DF, BP, L. N: C, C P: a,
M N: I, Quia SV: VL:: MN: C N. TCU S: X: : 1: C.
eiit (CMMpeE X I  se: UdC, POFEE SY seu
SIn F Z, descriDEAqLE CUEVa GH Z CFunE Om
mia X i, scu rectangula PV R, lve torum
Crcloidis AOC spatium, aequale omnibusse,
scu rectangulis T F D, hoc est interro spatio
e A22; quare inventa huius sparii G A7, Peu
omnium se, ratione ad Circulumr, inventa
erie spatii Cvcloidalis, seu omniumxi, cario
ad cunderri.
OuodutRat: sic primo AL O crelois prima-
ria, erit p =g, adcoque S V = F 7 =
X X
d
Inde patet curram O AT esse Cilloidem: led,
ex modo dictis, cirsoidale spatium hoc creloi-
dali expolito aquatur; Peu Omm. Se = OImm.
Xi; adcoque ex hoc est semicirculi criplum
juxta coroll. Praec. Hloc nocabo: quia lePEE
est: se = Xi, s ad cundem sericirculu,
cum crclois AOG, tunciNOIS ACZT, refe-
TANEUE; ducta L V ipsi A O Pacallel a, eique noe-
mali CT, Fore semper spatium L rO equile
SIAtIO F76.
X X
Duod si erclois alterius s generis, dt s = y
+ 11.X = a r X
X X
1); quoniamy manet ad cissoidem: (i
Janimotelceret, quam rationems currilincim,
cujus applicata, haberer ad femicirculumi
c