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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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1
1d
Considerationes.
FuiE aNTUTA. TUm _E ANnO 1684. MensC
Octobri pae 473 expresse indicatur, iptam
a N Posse proarbitrio aliuni, nec non loctisl:
Bernoull AnnO 16,4 menle Junio, pa5. 2647
luculentum hujus acterri celtimonium peabet.
S. VI. Triangulum DP. H, ubi ordivaca
ad axem normalirer applicantur, est rectan
ulum, adeogne, a_ dX + dvdy ∞ d sit 5.
Dem: contequitur ex lemmare tertio; et
AInO 1693. Pa5. 255. mense Tunio; HaC
aequatio ab illustri FPolpitalio acthibetur, ac le-
quentimodo insbi delignatur, dx g + dyq0
a5g.
S. VTI. Ouibus lemmarum in modum pre-
missis, suppolicoque cheorema C lar: Bernoullit
AnnO 1694. mense funio, p2c. 264. in actis
Lipliensibus publicatum, nihil, nisi quod le-
itime demonstrari queat, in recelu habCTC: ac
ad omnes sele curras generalicer extendere,
haec inde consequencia, recensitas nodo le-
es oblerrando, deduci polle viderur. P0.
sitis corvae elementis aequalibus, concessaque differen-
tiationum plurahiate, erir subion ens ipsi applicatae
ad axem perpetuo aequa is.
Dem: Sit enim (F1g. 4.) curra D ABC: vo-
centurque T t (ubLanSCMS: D, D L= N, A H. 8
V, AL: aX, BL: dy, AB: a5, ractius circule
olaulatoris seu tili crolveneis lonvitudo a F: Z9
erIE