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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.
erit juxta CI. Bernoulli locum citatum Cemper
ax ddx ∞ ayddy, qua Differentialiin sum
matricem verld, ac persL, hujus reducta, serit
dxax ∞ : dy dy, undehac aequatiOnC DEF 2
mulciplicata d extracta radice het de ∞ dy.
Scd exs. TII. hujus corollario cAt, P: V= = d X=
2y.
Rdeoque, cum (it dae ∞ ay, CritE ∞ y Peu
Tuibtangens TP. aequalis applicatae A H. 9. c. d.
Simili modo politis dx aequalibus demonstra-
DiturForedy ∞ds, Peu tangentem T A aequa
lem applicata A R. Cx 5. TII. BujuS.
VIEe altumtis dy aequalibus, Forc dx Das,
leutangentem T A aequalem suibrongenti TF
cujus jam momentihaec lit difficullas, qua cal
culus differentialis laborare ridetur, latis appa-
FCt.
ACcedit, quod ex D. Auchoris constructio
neliEBII D BC, adeoque triangulum HIBC
iloleetes; tum _ lirriangula HIOC _ BMTI
Furura sint limilia, uti allumit Vir praellantissi
us, Oporter angulum BH C esscrectum, aut
anoulos CHIO _ BHIM aquari; hoc redar-
ouic laterum achibita proportio; illud quidem
reaple obrinet, verum quo pacto exhujus cal
culi disterentiationes iteraras admictentis prin-
cipiis, in trianguloilolceli angulorum ad balin
rectitudo, demonstrari gueat, optarem cdoceri.
D. VIL. L