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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 28, page id 1032704993:0034
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032704993&page=34
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.90
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

Considerationes.
tua habitudine deducit rir ingeniosicimus, D.
Leibnitius; quibus tandem et hoc addit porisma,
ex currarum vertus axem concaritatis duplex
criterium.
Sicrescentibus ordinatis, u, cre (cunt etiam ipsa
rum incrementa vel differentiae, du; (seuo si positis
duaffirmatiois, etiam d du differentiae differentia-
rum sine affirmative, vel necarivis nezativae) curva
axioverut concavitatem; alias conzexitarem.
Cujus contrarium lequenu modo crincere
ipCa Parabolae curvatura mitu viderur.
Sic (F18. 4.) D ABC Parabola, in qua Or-
dinatae AH, BP, OC, CreICHNE, quaeque
uti notum est, verlus axem D eAtconcara,
vocatisque D F. : X, A F: 1, ipta A L _BV
nomine da, BI. e NC nomine dugenerali
appellatione dicenda erunt; jam quoniam tum
A B, tum BC, sunt tangentium respectira-
rum portiones, juxta Barorni L. cec. V. PrOV. I.
angulus A B L ipCOB C N minor cA, undeob
anoulos AL Be BNC cum rectostum aequales
(ex constructione) erit angulus B A L major ip.
(OC BNI; hujulque anoulitangenssi rocetur,
b, acillius: 8, erit e hac de caula t major ip (2
b; jam appellato radio: r, Aetextrisonome.
+ dXe
bd∞
eriae regulis BL ∞ r3 dC CN∞,; unde
cum (policis ax aequalibus) texcedat iplamb,
PATC.