Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 137

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: 0.85.

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The machine reads it as

  1. C. AP. 18.
  2. De Mulriplicatione.
  3. Tabella Contractior.
  4. +
  5. 3
  6. 16
  7. La
  8. 13 11a 1571C
  9. 6
  10. 16120 12412
  11. 1251301
  12. 13C
  13. Ubi autem de simplicium numerorum muleiplicatione con- Numerorum
  14. Rat, non eric difticilis ad compolicorum mulciplicationem composiiorum
  15. Progreus, ue quae ex simplicium mulciplicarione lapius icera mulsiplicario.
  16. ta tora deperiders uti inductione parebit.
  17. Sic isicur numerus 342r duplandus, sre per numerum 2 2 bi multi-
  18. mulciplicandus. Numero igicur mulciplicando 3422, Cub. plicator est
  19. scribatur Mulciplicans 2, et (dueta lineola) cuilibet fgura numerus sim
  20. numeri mulciplicandi, Cublcribatur ipsius duplum (quia nem- plex.
  21. Demalciplicacor eAt 2) eodem semper gradu cum illo cujus est
  22. duplum. Ita nempe duplum unius unicacis lunc unicates dux;
  23. duxlum duarum decadum Cane decades qua-
  24. tuor; dupluni quacuor cencuriarum Tune
  25. cencuriae octo; duplum erium millium sUnE
  26. millia Cex: qui quidem numeri in unam
  27. Cummam collecti, nempe 6842, Tune corius
  28. numeri mulciplicandi 392E duplum. Cum
  29. 4L
  30. 684 L
  31. enim omnes parces simul aequentur roti; crunt etiam omnes
  32. parces bis lumpea, aequales cori bis lumpto; hoc ett, duplum
  33. parcium omnium aequabicur duplo torius. Ouxe quidem de
  34. monstracio (mutatis mucandis) de rriplo, quadruplo, quincu-
  35. plo, dur quoris alio mulciplo paricer valebit.
  36. Si rero, in hujulmodi processu numerus cujutris loci Ceu
  37. pradus novenarium excedat, adeoq; non sic unica Agura expri
  38. mendus;

Cite

Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 137. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0183?run=74