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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 134, page id 1032977698:0156
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134
4. 20
Analysis Infinitorum.
seu qremanebit spatium AOC=
CAP. II.
n
9, X9112-
le luo complemento. Si p =g, exir altcerutrum
 2 a seu Cemicirculi duplum.
Coroll. V L. R eperiris (ymtrolis 5. 62. C. 2, aRun-
taque inibiceadita lispothemi F. eVIC. E ABCD
sic quadeans circuli; aC KC F curram tangat, crit.
rh
juXta 5. 63. Cap. I, X M SCuF = d, quare d: r: 3
h: F; ec juxta lemma 46, (quia ratio d adrDce-
PetUO IAHeE cadeM) d: r:: ha: F a; Ced cita-
295, 62. Ba = _y, e 14 = yc, quare d: r.
et Y: Y C; verum ex proprietate semicirculi
B O: B N:: C B: B R PCUr: V:: H: I; WdC et V = rI:
adeoque crit d: r:: ri: ye; hoc est radiusr ad
quadeantem peripheria d, uc spatinm A FDO
seu omnia y e ad quadratum in A ∞ (Cu OMH. rI
rr. Secundum I. II. Fuclid.
Corolt. VYT. R CTUIMEa CHEVa 5. 30. Cap. 1
FIc. XFI. CxteriIque ut inibi suppolicis
nimieum re = X P = yP PEO aequatione CUEVX
AF F, Factis Scilicet gO: X, OD: y: tum de
= Y5 = 1Z, DEO aeGUatIONC CAIEVX ANC.
eujus applicata O N: 2, Crit, JuXIL8. 30. Cap. 1.
Sysc p.
RC TCUF = r5 - p = 1 = 5Z; Unde COgNIta FIPI
Fa AD FO Peu omnibUS Y C COEIOLCCTUP FIBUT
AOG seu omnia z e.
Sic enim primo s P +I; erie xquatio inter
utrius.