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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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4C
Considerationes.
AD: _ Crit p5 ∞ gF; tum t + yy ∞ s; qua
quidem aequationes mechodo med tractatee
mihi exigue admodum labore, exhribene.
currae AV, (cujus haec eA proprierasuFBF Per-
Decuo adequetur ip(i BD Ceu F) Subtangentem
FB ∞ n
∞
4455
49F+ + PBet  49)
Ouocognito, altumtaque generali omnium
currarum per coordinatas iplamque curram
delionabilium genera comprehendenti aqua
tionis hiypochesi, hujus Tubtansentem quaeros
quam cum inventa modo aequalem Patuo;
atque resultantis hinc aeguationis, ad supposi-
tam aliquando applicitae, terminos, (obser-
vato quodam artiticio, secus enim omnes
quandoque in suppolica aequatione termini
Je mutuo destruentes nihil reliqui FaceFenE)
eadem indecerminatarum dimentione cau-
dences, nihilo aequales suppono; unde cum
eoefficientes; tum poreltatum in luppolita ex-
ponentes reperio; talis autem hinc curvilinci
A V. B sele octendit aequatio:
2P +
2 = 4af + pat + p94F2 + ∞0.
Dua inventa carera quomodo inveniri de-
beanE, latis est manifectum. NNoretE aucem
ipsam a esse arbirrarium, modo sit determi-
nata