Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 56r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.96.

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The machine reads it as

1. si series infinita a- b +c-d +e-f + etc constet ex terminis decrescentibus
2. aternative additis vel subtructis; summa seriei est quantitas finita
3. Et pars continua ab initio sumta, finiens per terminum iam additum
4. est justo major; finiens per terminum subtractum est justo minor
5. Error autem in alterutio casu est minor termino proxime sequente.
6. nondum edito
7. Haec olim invenis demonstravi, in libello quem pro Quadratura circuli strithme
8. tica demonstranda conscripto
9. Si posset inveniri Methodus seriem infinitam propositam transformandi in talem
10. la qua termini decres essent omnes decrescentes, et alteratim adderentur ac subtra
11. herentur. eo ipso haberetur Methodus agnoscendi utrum sit finita vel non
12. omnis series infinita constans Terminis meeris positivis
13. progressionis Geometricae dedecrescentis est quantitas finita
14. Dater sexies dato numero quovis haberi potest series tais geometrica deprescens
15. major. Ulna aitemterrese quo
16. Harum serierum Geometricavum decrescentium limes est senis series
17. aequaliam quae est quantitas infinita, velut 1+1 + 1 +1 + ete.
18. Si posset serigi infiniba ex positivi proposita dac major dari ter aliqua series
19. progressionis Geometricae, esset series proposita aequalis quantitati finitae
20. tresta
21. si vero posset demonstrari serrem propositam esse quavis geometrica
22. cerescente majorum series proposita foret infinita

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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 56r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0113?run=74