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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 45, page id 1032977698:0067
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10
il
d
CAP. T.
Analysis Infinitorum.
nalium Fractorumque loco apumantur, idem, scd
alia ratione, obtinebitur quaelita subransentis va-
Ior. Sic considerari porsunt primo tractionum de-
nominatores, assumique, ff = yy +rX, EZZ =cCF XX.
Deinde numeratoribus hac lege alumtis, ut per
denominatores uos divitionem, ac per signara-
dicalia praefixa extractionem pati capaces AME,
alia requatio ex assumtis Orta CmerBet.
Verb: OP: AI FIAEr + C = ffr V, XrrC+ +yyX
=Z ZrrEC; Ominimoli vilum fuerit, ec quair
titas cationalis; yposset altumi=rd; erit aequa-
lIo ex aNUmEIS Orta rl + rC -rC Lrd, seu
 + E = c + d. quem in finem, cum Cola c,
(item x ec y, Si adc(TenE) ad curvam expositom
AD F pertincat, ex caeterarum l, E. d, propric.
tatCTOT CUEVA ACG, AN K, A X Z, 2d cundem
arem A _ descriptae Fupponantur, Ita, UFC 9) (IF
 cujus infinitesima G M = o, TubTaNSCNS Q X
k; tum ON _  x existentibus = d ec g, qua-
rum respectirae intinitelunae LInEY X _OZ, leu,
i _ n, ac (ubtangentes L ~ _CB Orclative Be
n; emerget, si aequatio ex assumtis orta 2d respec-
TIraS reducatur inFinitefiMaSO + a = et + 1.
Cummaurem, juxta peaecedentia, sic in cueris
respectiriso -= item i==, RCCHON a = 2, uF
de 
dc tandema ==; his in locum infinire.
macum sussecris. de reductione institra Fiet
B n
BHt dRY. CBX
Ouir