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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 74r

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.

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. 75v); this page is its right half.

The machine reads it as

  1. Vir Amplissime Consultissime Ercellentissino
  2. Domine Gratiosissime
  3. In Doct. Burchardi de iis quae promisit mittendis, compellando
  4. non defui. Novi ipsum rescripsisse jam ante geminum octi
  5. duum. Qoid in mora fuit quo minus litere redderentur
  6. ignoro. Si nondum reddita sunt, frater ipsius Hannoverae
  7. degens urgendus est, ut literas exhibeat. Responsio Duc
  8. Burchardi erat, sibi prius certa experimenta esse in
  9. stituenda, unde vix liceat ipsi promissis stare in ea dos
  10. trina ante promissam diem expedienda.
  11. Analysin Numerorum Compositorum urgeo quantum
  12. possum. Dudum quousque res succedat scripsissem, nisi me
  13. puderet minus elaborata in conspectum dare. Nondum
  14. cum omnibus quae inventioni moram injiciunt transigen
  15. licuit. Amooi tamen obstacula quousque potui.
  16. Primo quidem ex Theoremate mZ -m et y. sunt
  17. Condivisibilia, eruere nihil potui.
  18. Sit enim Divisor Communis d. meties y. d m -m
  19. inveniatur Residuum (Y) ex m abjecto y. quoties
  20. potest, utique y. metietur partem exhaustam m
  21. et d. metitur y. ex Hypoth. Ergo e S. metiturmy
  22. Sed hoc incognitum est. Pro Cognitis tantum sumi
  23. possunt m. V. et y. quibus nullus per Theore
  24. ma evinci potest alteri condivisibilis.
  25. Obs.1. Ergo conferre oportuit Divisore Subdivisores
  26. eoruque Residua ad eundem Dividendum.
  27. Obs. 2. Intelligo autem ubique Divisorem multiplum
  28. subdivisoris. et dividedum utriusque semper pono eundem
  29. Obs. 3. In Divisione pars exhausta dicitur quicquid
  30. per divisionem abgectu est, atque haec una cum Re
  31. siduo integrum Dividendum componit.
  32. Obs. 4. Omnis ergo dividens metitutr suam partem ex
  33. Raustam
  34. Obs. 5. Subdivisor metitur partem exhaustâ Divisoris
  35. Metitur enim Divisorem per Obs. 2. et hic partem
  36. suam exhaustam per obs. 4. Ergo subdivislor eandem
  37. metitur.
  38. Obs. 6. Ex eodem. Dividendo Differetiae partium exhausta
  39. diffe
  40. rum e Residuorum ad duas diversas divisiones aequales sut
  41. Nam iterum addita residua debet eunde Divisad su compo
  42. nere per Observ. 3.
  43. Obs. 7. Si divisar e subdivisor habeat Residua ine
  44. qualia, differetia residuorum metietur subdivisor
  45. Metitur enim suam parte exhausta p obsero. 4
  46. Metitur quoque partem exhaustam Divisoris Obsero
  47. Metietutr ergo differetia partium exhaustarum
  48. Ergo et Differetiam Residuorum per observ. 6.
  49. n s

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 74r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0147?run=74