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. 45

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: 0.88.

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

The machine reads it as

  1. MIVETTPETOTONS.
  2. Ex 60 aufero7 quories porest, luperest 4 _ pono sub 5,
  3. Ex 40 autero 7 quories pores, superess et pono lub 6,
  4. Fx 50 autero 7 quories porest, Luperest L ec pono (ub 7,
  5. Ex 10 aufero7 quories porest, et redic 3 X pono (ub 8,
  6. Ex 30, aufero7 quories porest, et redie 2 e pono (ub 9,
  7. EF SC redic serieS nUMCTOTUI, 1, 3, 2, 6, 4,5, in infinicum. est period, decimalis
  8. Jam proxonarur numerus quiliber, 287542 178,
  9. De quo quaritur verum exacte dividatur per 7
  10. hoc lc agnolcecur.
  11. Sumarur semel eius character qui primus est a dexera ad sinistrant
  12. nempe 8 primo enim numero seriei continua subiacet vnitas
  13. Ouare ponatur ille, 8, primus character semel
  14. Sccundus, qui est 7, ter lumarur, scu per z mulciplicerur,
  15. Secundo enim numero seriei subiacet 3, lrque productus
  16. Terrius bis lUMaEUE, Subiacet enim 2 ipsi 3, quare
  17. cerrius character qui est x per 2 mulciplicarus sic
  18. Ouarrus eadem rarione per 6 mulciplicatus
  19. Ouincus per 4 mulciplicarus
  20. Sexrus per s mulciplicatus
  21. Seprimus semel, septimo enim subiacet I
  22. Octauus, ter Tumpeus
  23. Nonus bis sumpeus
  24. EEsic deinceps G Supereltene. Tungantur hi numeri
  25. Si ipseasgregacus, irg, est mulciplex ip hus7, numerus quoque p1o-
  26. Poticus, 28754. 2178, ciuldem 7, mulciplex erie.
  27. Porest aurem dignosci eadem merhodo, verum ip se rr9 sic mulciplex
  28. Ccilicer, Cumendo senel primum characterem
  29. Secundum characterem rdx
  30. de praecedenrem bis
  31. Si enim summa r4 est mulciplex7 eric e 119 eiuldem mulciplex
  32. Sed _ li, curiolicare porius quam necessirare mori, relimus agnol-
  33. cere verum T4 Sicmulciplex7 Cumatur character vlrimus Cemet
  34. d pracedens Ter
  35. 4.
  36. Si lumma est mulciplex ipsius 7 erir e 14 mulriplex 7, quare et 14, et
  37. 179, eC, 287542 178.
  38. Is agnolcere quinam numeri dividaneur per 6.
  39. Scripris, re laepius dictum est, numeris nacuralibUS 1, 2, 3, 4, 5, dc.
  40. S 2 Tub, r, Polico
  41. _c. 4 32
  42. etc. 4 4 4 1
  43. sesiduorum
  44. 1
  45. fidui
  46. qu. 014285714
  47. 251
  48. dete. sunt minores

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. 45. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1023099829:0095?run=74