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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 227, page id 1032977698:0249
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CAP. IV.
Analysis Infinitorum. 227
Yu= re; 5. 4. COr. I. Sed omnia ce etficient
rectangulum. AL MO, in quo, AO existente
circuli diamerro, AL aequatur ip( 5 scu Pe-
sipheria; est autem hoc rectangulum = 2r6
+r0
2  quadruplum majoris circuli in sphaera
expolia.
Coroll: TI. Cum autem hoc xeque in partibus
analosis obtineat; SUPCrfICICS ex segMentO
D  circa A O FOTatO, FactO AG: X,
XquabITIE, ipE CX, Ceu rectangulo ex AC
in circumferentiam inteoram maximi circuli in
Iphara.
Ouod si desiderentur circulus huic superficiei
aequalis, CEradIuS: 2, Cxir CirCulUS 2r=
CX, adcoque Y 2rX = AD = Z = FadiuS
circuli quaeliti.
Coroil. IIT. ROtetUE, FIC. LXXIII. linca
Darabolica AD F: Circa aXCM A P, VOCen-
TuEG. AO: X, OD: y, D E tangenti nOrma-
lis: k, erit genita hinc superticies Cx PTXC. =
C u) ckC
omnia r = -r; quod ( k (CU D F ap.
plicetur ad OP Peu c, adeoque ad AO Peu
X, CFIC +rr + p X = k k; adCOgHCCUra SLC MI
erit eadem para bola _ s A = =r; unde omnia
kc seu spatium AL M P coenitum CAt, e
xequale