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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 224, page id 1032977698:0246
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Analisis Insinitorum. CAP. IV.
De superficiebus rotatione Cenitis.
Ecangulum ABF P FIC. ZVIII.
LL diagonali A F divisum, SIPOTCMIL
CIrCA aXCM A P, eHiciet linea B F hac circUM
volutione superficiem eslindricam B F Y N MI;
Sc linca A F. Supersiciem conicam F. Y MI A.
Cujus utriulque ralor Analsticus ut indagetur,
circuli F PML utriusgne balin constitmentis perio-
heria rocetur c; quae si diridatur in partes iufiri
tCLMAS, UE GI, gux appelleneur u, Constabie
superticies cylindrica intinitis rectangnlis L. O16,
seu (vocata A P = OI: d) innumeris du;
ideoque torius cylindri superticies, juxta C ap. II.
513. EquabItuK dc.
5. 8. Conica autem superticies componetur
infinitis criangulis iloscelibus G AL, quorum
Cinsula (rocata nimirum A F = AL = A C: 1
CrHnE = 2, cum juxta lemni 33. SinE rectan-
cula obbalim eF intinite parram, unde (UpCF
ficies modo dicta requabitur omnibus
2 3 Crit
que juxta C aP. II. 5. 13. ab Colurus ipsius ralor
2. Peu triangulo rectangulo, cujus unum
latus eAt latus trianguli per axem coni, alterum
circumterentia circuli balin constituentis.
5. 9. Ve-
224
d. 7.