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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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2
a
E
5
Considerationes.
nabimus: haec enim num cum legum in cal-
erto disterentiali tradirarum Dexu lCCUTe
consistant, dubitare ne coonne leguentia ra
tionum inOmenta.
5. I. Si exponatur differentiale ex quanri-
tate disfereneiabili in differentiam luam duetd
Copolitm, Ut ∞ aX CPIHE OMNIA X A X,
seu x d a Cummatorie aut collectire accepta
(D: Leibnitio per sx a x denorata) aequalia
2bColuto ralori 2 V X.
Dem: Paret ex Celeb. Leibnirii assertione,
Aet: LIpI: AnnO 1686, menS: junio, Pag.
297. huic enim Fundamento theorema BarO-
vianum inxdificat Vir cruditissimus, inibique
hujus thescos demonstrationem ex protento
tradlit. Ouin dC, ex iis; quae Clar: Bernousli
in actis citatis cdidie, passim constat; videa-
tUE ANNUIS, 1694. PaG. 268, ubi simile quid-
dlamoccurrie.
S. TI. FrianGUIU DF FY (FiB. 2.) CUrVES
rum characterilciem ex quantitatibus infinite
parvis seu differentialibus constat, unde vo-
CatIS A P: X, DP: P, CUrVa AD: S, CritDTI:
dx, TIK: ay, DF: as.
Probatur, AnNO 1693, Septemb. P49, 390,
ec AnNO 1686, P25. 298, corundem ACOr:
S. TII. Buic criangulo DF FI Ceu iMacIE
AxdL