Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 131r

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: 0.91.

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One image of two folio pages side by side, registered by the library under both labels (also fol. 132v); this page is its right half.

The machine reads it as

1. Ne tantum de serebus infinilis loqui
2. Terminis
3. videamur, loquamur
4. seo qui ex infinilis rationibus compo-
5. nuntur, ut
6. 229942526 etc in infinitum.
7. 1 25 345 etc
8. Hic F. Hac ratio valet 1.. Nam abjici
9. potest primum 1. in ferioris, caeteris
10. inferioris manientibus, quo facto inferia
11. numerator et nominator sunt aequales
12. seu fit ratio aequalitatis, id est 1.
13. sit jam ita:.
14. 25345 26 etc. in infinitum
15. 345526 27. etc. in infinitum
16. abjectis terminis communibus residuum
17. manet 2. in sunim nomi numeratore
18. in nemeratore 1. est ergo tota ratio 2.
19. contra si sit ply terminus in veg. 2
20. numer nominatore, qui non est in
21. numeratore, et ita oestermini un
22. ita enim pro to valor erit .
23. in genere abjiciantur termini commu-
24. nes, licet infiniti, utrinque resid si
25. finiti restant vel in sumno vel
26. in imo, vel utrobique, determina-
27. bunt quantitatem c hujus progressio-
28. nis complicatae. Et determinare
29. poterunt veloper modum simplicis
30. multiplicationis, vel divisionitve vel mixtae cum additine, subtractione, radicu extractione.
31. sed si in summ No uno termino
32. sit incultiplicatio, in altero divisio,
33. productum fit infinite magnum,
34. vel infinite parvum, ut facile
35. palet cuivis consideranti.
36. Sed quid si Termini non coincidant:
37. ut si sit haec complicatio duarum
38. progressionum, quarum altera
39. est Geometrica, altra constat ex
40. terminis unitate differentibus a Termi-
41. nis Geometricae. v. g.
42. 20+8216232 etc. in infinitum
43. 137131. etc in infinitu.
44. ren
45. Hoc casu determinari nihilominus quantitas qudem
46. potest, admranda quadam ratione. potest enim ntiortastare
47. 1+1 24XIt 5+ crescit enim ratio in
48. infinitum, ex causa
49. 1 u 7 2 a paute at 17 fait 64 (3:, quod jam est majus prore,
50. ideo invertenda est positio, hoc modo:
51. od ut
52. 15
53. 1 2
54. 31 21
55. atsu uti sier

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 131r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0261?run=74