Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere, fol. 23

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: 0.94.

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The machine reads it as

  1. COMBTHATIONS
  2. in 3 combinatur + combinarione.
  3. Ec lic generalirer omnis numerus semel rancum in xqua.
  4. li combinatur.
  5. Lemma 3.
  6. 2 in r combinaeur, L combinatione
  7. in 2 combinacur 2 combinacionibus
  8. in 3 combinatur 3 combinacionibus.
  9. FF generaliter rnitas in quonis numero cories combina.
  10. tur quories ipse continet rnitatem.
  11. Lemma 4.
  12. Si sine quaruor numeri, primus ad libitum, secundus vii-
  13. care major quam primus, cerrius ad libitum modo non
  14. Ec minor secundo, quarcus rnitare major quam cerrius;
  15. mulcicudo combinacionum primi in cerrio, plusmulei.
  16. cudine combinationum secundiincerrio, aquatur mul.
  17. cirudini combinationum secundi in quarto.
  18. Sine quaruor numeri ve dictum est.
  19. Primus ad libicum verbi graria
  20. Secundus rhitare major nempe
  21. Terrius ad libicum modo non
  22. AE minor quam secundus V. 9.
  23. Ouarrus rnirace major quam cerrius nempe 4
  24. Dico multicudinem combinationum, Z, in 3, plus mulcieudine com-
  25. binacionum, 2, in 3. x quari mulcicudini combinarionum, 2, in 4. Quod
  26. ve paradiemate fiat euidentius.
  27. ANTUMaNEUE Eres Characteres nempe, B, C, D, jaM verO aNTUMANEUE
  28. iidem eres characteres de vnuspraecerea, A, B, C, D; Deinde aluman-
  29. cur combinariones vnius lictera in tribus, B, C; D, nemDe, B, C, D;
  30. Allumantur quoque omnes combinationes auarum liccerarum in tri-
  31. bus B, C, D, nempe, BC, BD, CD; Denigue ANTIIAMEUE OmneS
  32. combinationes duarum licreraruM in quaruOr, A, B, C, D, nempe,
  33. AB, AC, AD, BC, BD, CD.
  34. Dicoicaque, cor esse combinariones duarum liererarum in quatuor
  35. A, B, C, D, quorlune duarum in eribus B, C, D, X in luper quor vnius
  36. in tribus B, C, I.
  37. Hoc manifestum est ex generarione combinarionum, combinario-
  38. nes enim duarum in quatuor Formancur parcim, ex combinarionibus
  39. duarum in tribus, parcim, ex combinarionibus vnius in tribus; quod
  40. ica cuidens Aer.

Cite

[Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere, fol. 23. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1023099829:0073?run=74