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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 56r, page id 00068200:0113
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si series infinita a- b +c-d +e-f + etc constet ex terminis decrescentibus
aternative additis vel subtructis; summa seriei est quantitas finita
Et pars continua ab initio sumta, finiens per terminum iam additum
est justo major; finiens per terminum subtractum est justo minor
Error autem in alterutio casu est minor termino proxime sequente.
nondum edito
Haec olim invenis demonstravi, in libello quem pro Quadratura circuli strithme
tica demonstranda conscripto
Si posset inveniri Methodus seriem infinitam propositam transformandi in talem
la qua termini decres essent omnes decrescentes, et alteratim adderentur ac subtra
herentur. eo ipso haberetur Methodus agnoscendi utrum sit finita vel non
omnis series infinita constans Terminis meeris positivis
progressionis Geometricae dedecrescentis est quantitas finita
Dater sexies dato numero quovis haberi potest series tais geometrica deprescens
major. Ulna aitemterrese quo
Harum serierum Geometricavum decrescentium limes  est senis series
aequaliam quae est quantitas infinita, velut 1+1 + 1 +1 + ete.
Si posset serigi infiniba ex positivi proposita dac major dari ter aliqua series
progressionis Geometricae, esset series proposita aequalis quantitati finitae
tresta
si vero posset demonstrari serrem propositam esse quavis geometrica
cerescente majorum series proposita foret infinita