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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)
# Folio 29, page id 1032704993:0035
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Considerationes.
Patebit es BL excedere iplam C H; unde haec
lalcem cueva parabolica datur, in qua vertus
azem concara ordinatae es crescunt, carumque
differentia BL _ C NY seu du decrelcunt, quod
cum D. Authoris tradito canone convenirenon
videtur.
Possent haec generaliter ex alio principio de-
monstrari, sedhuicinstantiae haec suffecerint.
Tum e alterius criterii, quod in Ld: Autho
ris recula parenthesi inclulum cernitur, con-
trarium in cadem parabola obtinere apparet. Sie
enim (manentibus altumtis modo rmbolis) ca-
dem parabola D A BC cujus aequatio 2r X ∞
uu erit hujus aequatio differentialis, rd x ∞
2bdu, adeoque ipla d uaffirmatira; haec, Cumtis
dx aequalibus, (juxta enim Cl: Ruthorem An
10 1664, pa5. 473. pro arbitrio assumi porest)
in hanc rurlus differentio differentialem tran
Sibit aequatio: 2d au + d u d u ∞ 0; adeoque,
licet au SIc affirmacira, hujus ope inrenta d du
du du
eritneeatira, quippe aequalis ipsi - u, di.
recte (TalFem apparCE) contra clariCI: AUCHOTIS
placica: juxta quae existentibus duaftirmatiris,
adu vero negatiris, curraaxi convexitatem
obrertere debuisset, ni(I LYDOTCTAPUM CFFOL
irreplerit.
Fegari quidem non porest, ingenere ((up.
POlITA