Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 189r

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.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 188v); this page is its right half.

The machine reads it as

  1. Utile est autem duas formulas in se invicem multiplicandas
  2. prius secundum unam eandemque literam ordinari, exempli gratii
  3. e’a -fea - 3e a + f per + e - 3e X - 6 utile erit priorem
  4. etiam ordinari secundume, hoc modo: 3a + a C - fa e + f
  5. multiplic: per . - - et = 3e X - 6
  6. 28 a - b a C +b fae- 6f
  7. 5 3 a C - 3aC 3 fa2. -9f.
  8. 3al. + a a + f.
  9. Decetero manifestum ett Eadem esse praecepta multiplicationis
  10. literalis, et numeralis,
  11. ut si sit 3+2 - 1 +2 - 3 - 2 +, 1 aequ. 2
  12. multipliciper +3 = 1 +2 aequ. 4
  13. +6 + 4 -2
  14. e + 1 - 2 +3 + 2 -
  15. +9 + 6 + 3 + 6 - 9 - 6 +3
  16. +9 +3 +1 +11 - 13 +1 - 1 - 5 +2
  17. Ubi velim natari obiter modum destruendi quo hic usus sum
  18. Divisio etiam duplici ratione tieri aut
  19. sic um, tur per altuatem opera
  20. hocmodo: id est a divis.
  21. a + b diris. Per e + d velsic;
  22. esse f fiet a +0, idem quod F
  23. t et
  24. guntup 2. 2. 8. =. =. Nam
  25. id est in tres personas, quoties
  26. duao tertias thaleri, et si velr.
  27. porsonas, quaelibet persona Ra
  28. thalerum cum duat squintis. U
  29. clivisionis nihil referre utrum et
  30. tor sit major. Patet etium qu
  31. ut fractionem, cujus numerator es
  32. visor.
  33. Porro quemadmodum in Arithi
  34. simplicioribus terminis efferri
  35. tam numerator quam nominat.
  36. ita idem locum habet in Algebra
  37. 3, et c significet s tunc ab
  38. quod 15 et
  39. ab erit E jam ab
  40. bc
  41. Duetam numeratorem quam nomi
  42. E, id est loco Scribetur =

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 189r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0377?run=74