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. 19

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: 0.90.

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The machine reads it as

  1. GEHERALIS RESOBIIIO
  2. Postulatum.
  3. Hloc autem praenorum esle postulo; Oux sic radix quadrata nume.
  4. Ei, 2, nempC, 1. Ftenim, I, est radix maximi quadrati in 2. contenti
  5. Sic de quae sc radix cubica numeri, 6, scilicet qui ex multiplicatione
  6. erium numerorum, I, 2, 3, oritur, nempe, r. Sic dx quae Cucradix quarti
  7. gradusnumeri, 24, scilicet qui ex multiplicatione quatuor numerorum,
  8. 2, 233, 4, oritur nempe, 2, d sc de caereris gradibus. In vnoquoque
  9. enim pero nolci radicem istius gradus, numeri qui producicur ex mul-
  10. ciplicarione cor numerorum conrinuorum ab rnitate quor exponens
  11. gradus propolri continet rnitares. Sic ergo in inveltisarione radieis
  12. V. 8. decimi gradus, postulo noram esse radicem ictius decimi gradus,
  13. numeri 3625800, qui producitur ex mulciplicarione decem priorum nu-
  14. merorum, 1, 2, 3, 4,5, 6, 7, 8,9, 10, nempe 5. Fe hoc vno verbo dici
  15. Porest. In rnoquoquegradu, postulonoram esse radicem iltius gradus
  16. minimi producti roridem continuorum quor exponens gradus conti-
  17. neernicaces; Minimus enim productus continuorum quorliber, ille est
  18. cuius mulciplicarores ab rnicare sumune exordium.
  19. Nec lane molesta haec peririo est, in vnoquoque enim oradu vnius
  20. cancum numeri radicem suppono, in vuleari aurem merhodo, muleo
  21. gravius in rnoquoque gradu, nonem priorum characterum, poresta-
  22. LeS exigUMEuT.
  23. Nocum liC ergO.
  24. PEoducti nUMCEORUI, I, 2,
  25. Peoducti num.
  26. Producti num.
  27. PEod. BU.
  28. Prod. M.
  29. PF. H.
  30. ecC.
  31. nempe 2 rad. quadr. este,
  32. 2,2,3, nempe, 6 rad. cub. esse
  33. 13 233,43
  34. nemp. 24. rad. 4. grad. esse
  35. 1,2,33 435, nempe 120 rad. 5. gr.
  36. 1, 2, 3, 435, 6, Bem. 720 rad. 6. gc. esse
  37. 2, 33435,6,7, nem. 5040 rad. 7. Gc. eAtC
  38. Problema.
  39. Daro quolibet numero invenire radicem proposiea pote-
  40. Racis maximx quae in dato concineatur.
  41. Sic dacns numeTUS V. 8. 4335, ex invenienda Cic radix gradus V. 8.
  42. quarci maximi numeri quarri cradus leu quadrato quadrat qui in
  43. daTO HMICTO CONTInCATUE.
  44. Inveniantur, ex praecedente rractaru, quaruor numeri continui, quia s psecedente
  45. quartus gradus proponicur, quorum productus scmaximus eius spe-
  46. ciei oui in 4535 Contincacur, lineque ip(1, 6, 7,8,9.
  47. Radix quaelira est rnus ex his numeris. Ve vero discernatur, (iC pro-
  48. cedendum est.
  49. Sumatur ex postularo radix quarsi eradusnumeri qui produeirur ex
  50. defu
  51. radicum extractio
  52. tracte

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. 19. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1023099829:0069?run=74