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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 188, page id 1032977698:0210
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188
Analysis Infinitorum. CAP. III.
ad ombia erapezia correspondentia in secundo.
Hloc notetur, cum haec trapezia IOD X sinE
COntinEO =
2dy + vV
2
- dd
2 Teu requalia
differentiis quadratorum in CD ex CO COn
sicutorum, truncorum rationem per hras diffe-
rentias exprimi pose.
5. 6. Ouod Aplanum (CCANS NOM TrANFCAE PEF
BC, Ccd per balis axem AO, erit QC seu
d= 0: quique hinc resultabictruncus, uneula
399C
nomine alias dictus, constabir intinitis 2b seu
prilmatibus PHL. XDO.
Frirgue inratione ad aliam ungulam, ubi e
sibi semper requalis dirisione excidie, ut omnia
by)
: seu triangula XOD, ad toridem triangula
in sccunda ungula.
5.7. Si vero Aath = b, e angulus ideo quo pla-
num sceans lineam AO transit Pemirectus, crit
yC
2 hujus unsulae, qua hâc de caula semiqua-
drantalis vocari soler, pars infinitelima; 2tquC
triangulum XOD, hoc in catu = 2
Byy
hygc
5. 8. Si autemnon 2b e, sed b, PrOPaE.
te Corporis insinirelima allumatur, aliud soli-
di senus cormabitur, duplum unsulx: Facta
Wt.