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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 25, page id 1032704993:0031
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15
D
1
3
d
D1I
16
1C
10
Considerationes.
Demonstratio lemmaris hujus (ex calibus ab.
Lolritur, quorum quinque polteriores in primo
Calu Fundantur, quo laterum incrementis totis re-
ccanguli merementum generari concludit prectarus
D: Ruthor. quae equidem assertio, utut per Le
vera, num tamen ratiocinio, in hujus demon-
Arationem adhibito, certicudinem luam debcae
lequentimodoinquiliri.
Linea DC (F19. 5.) dicatur: A, ejusque
momentum, seu quantias disterentialIS: a,
deinde CTII rocetur: B, hujusque momen-
tum: b, erit rectangulum DCHI Emotuper.
Petuo auctum ∞ A B, demonstrandum ostmo
mentum leu differentiale ipsius AB eNC A b
+ aB, quem in sinem sic arsumentatur Claris-
Timus Author:
Cum laceribus déerant momentorum dimi-
dia, DR ∞ =a, _R I1∞ Eb, erat ( R ∞
A = 20, ec K C ∞ B - = b, ad coque rectanou
bim CILR ∞ AB = = aB-  b A + 2 ab;
jam vero quam primum latera e B alteris
momentorum dimidiis, Ceu DS ∞ Za, ec FYN ∞
Eb, auCta TUnE, eradit (,S D A + = a, e
C NV ∞ B + = b, adeoque rectanoulum
GSPN∞ AB +  aB F 2b A + =ab; dchoc
rectangulo C,SP e subducatur recransulum
PEK