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# Title: [Bernhardi Nieuwentiit Considerationes Circa Analyseos ad quantitates infinitè parvas applicatae] Bernhardi Nieuwentiit Considerationes Circa Analyseos ad quantitates infinitè parvas applicatæ (shelfmark Leibn. Marg. 150)
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Considerationes.
rd_ D X d∞  y Ty, Poltis da aequalibus,
dlisterentietur, cvadee - dxd u ∞ dydy + q
ddy (nocetur licrera J.) qua certio disteren-
tiaca dabie, 2 dy d d y -F dy ddy. +. Y d3y ∞0 leu
ava ay y d3y ∞ 2dy ddy (intioniatur nota
RE;) jam reallumatur aequatio , quae Pos
tranloositionem extribebie ax av ut d∞e d∞ ∞
=y ady ∞ as as Cx s huins VI, haec autem
cercio dicterentiata  Ay dy - yd3y ∞ 245
das D2dvddr, per aequationem liccera R nO-
tatom; quae modo jum eradico per 5. l. hujusre-
dueta tandem prodet ds ∞ dv; adeoque per
hujus sIil tansencem TD aequalem ipsi DP
Seu applicata circuli
Ruetus cum sIC L5 ∞ dY, crunes ds∞ (dy.
Teu omniaas aequalia omnibus av, ad eoque ipla
curra ae qualis applicarx P I, cui MOXLanGeN-
tem eequalem elle ex iiidem principiis inveni
MILIS.
Consequentia ratio exhrujuss I, e exemplo
eDoctis. Bernoul cditisibilocicicaco, mani
Festa Cst.
Necetur idem posse de parabola, aliisq. Cur-
vis secundum hujus calculi leges demon-
PeraEL.
Ouxe, quam sine le mutuo destruentia, e
dlemonttratis antea vericaribus contraria, non
disticulter colligere cst.