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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 20
# Folio 8r, page id 00068017:0017
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e
s
per summationem arithmeticorum
replicatam. Omnis enim series ex suis
differentiis cujuscunque gradus continuatis
summationibus conflatur.
Hini jam pergo ad Numerorium
expressionem per proportiones Geometricus
sive Dyadicam, sive decadicam aut
aliam quumcunque, et quia omnes series
Arithmetioorum, sed manifeste imprimis
dyadice expressae habent columnas peris
dicas, sequetur omnes series potectatum
vel Numerorum figuratorum vel aliorum
Supra dictorum habere columnas perio
dicas, ubi ostensum, fuerit, omnem sersen
summatricem perodicae esse perioricum.
Nam ita ei summatrix = Cummatricis
periodica erit; imo ex hoc sequitur, quod
presupposueramus, Arithmeticam seriem
esse periodicam, cun sit summatux
Leriei constantium, quu utique periodica est