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36 DE PROGRESSIONIBVS TRANSCEND.

DE PROGRESSIONIBUS TRANS-
CENDENTIBVS, SV QVARVM TERMINI
GENERALES ALGEBRAICAE DARI
NEQVEVNT.

Auct. L. Eulero.

I

Cum nuper occasione eorum, quae Cel. Gold-
bach de feriebus cum Socictate communi-
cauerit, in expressionem quandam generalem
inquirerein, quae huius Progressionis
(...)
OMISSIS
(...)
terminos omnes daret; inci-
di confiderans, quod ea in infinitum continuata
tandem cum geometrica confundatur in fequen-
tem expressionem,
(...)
OMISSIS
(...)
etc. quae dictae progressionis terminum ordine n
exponit. Ea quidem in nullo casu, abrumpitur,
neque si n est numerus integer neque si fractus,
sed ad quemnis terminum inueniendum tantummo-
do approximationes fuppeditar, nisi excipiantur
casus
(...)
OMISSIS
(...)
quibus ea actu abit in
(...)
OMISSIS
(...)
Ponatur
(...)
OMISSIS
(...)

habebitur
(...)
OMISSIS
(...)
etc. =
termino fecundo
(...)
OMISSIS
(...)
Si
(...)
OMISSIS
(...)
habebitur
(...)
OMISSIS
(...)
Quanquam aurem intel expressio nul-
lam, (...) habere videatur in inventione termi-


Partial transcription in Courier font operated by runner.

Maurice Carbonaro (talk) 10:32, 23 November 2010 (UTC)[reply]