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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 215, page id 1032977698:0237
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et
et
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st
M
X
C AP. III.
Analysis Infinitorum.
215
ex Figura prima circa _K rotata, 2d Colidum
ex Figura lecunda circa candem ZIK.
Coroll. T. Ouod si AGL sic spatium men
lurabile. _ AF M rectangulum ips ACL
circumleripium; erit tubus ex hoc rectangulo
CirCa HK xOTaTO ad Solidum ex AGL circa
eandem, in ratione rectanguli circumscripti ad
spatium AGF; cujus ideo (olidi datur ratio 2d
crlindeum, cum spatii ACL ad rectangulum
circum (eriptum ratio sic nota ex hypotheli.
Coroll. IF. Cum autem, juxta COr. l. 8. 28.
CaP. PPaC. ex qualibet cuera infinita currilinca
cornirae magnitudinis ortum ducane, per hanc
intinita erso solida quorum ratio ad crlindrum
notacrie, ex singulis curris, juxta praec. Coroll.
exhiberi poterunt.
5. 38. Nescio anoperae sit pretium hic aperi-
re tontes, qui Mathematicorum librosimmen-
la theorematum serie jam olim imundaverunt;
cum cuilibet per praecedentia latis inorescant. IN
ETTOMUM EAMEN STATIAMI UMUM AUC AItETUM spC
cimen addo.
Datum (Fic. LXVT. ) spacium BDC (CU-
ius applicata F F: y) rotetur circa rectam
TAS, IPSI F F noraleM; VOCCTUTg. AF: d,
Tolidum earotatione senitum juXTa 5. 20. expli-
caDitur per omnium quadratorum in F A d
E A constitutorum differentias, seu omnia
247c