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. 198

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: 0.86.

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

The machine reads it as

  1. Mulsiplicationis es
  2. Hac methodo, In mensurandis, ver-
  3. bigcaria, Aserculis lieneis; E ABe-
  4. ris unius lacirudo A sc duum De-
  5. dum, lonsicudo B Dedum 20; erit
  6. area lire magnieudo AB = 40 P93
  7. hoc est pedum quadraricorum quadrasinca.
  8. Similiter, Si Camera mensuranda
  9. st lonsa pedes 18, lata pedes 127
  10. erie corius area Peu magnicudo,
  11. redum quadracicorum 216 = 12
  12. X 18.
  13. De Paralle- Pariter, cum terrae Fueerum Anelicanum C Aera, vulso dicta )
  14. loerammis Ratura lese censeatur instar Parallelo-
  15. Rectaneulis crammi Rectansuli, Perticas 4 lati, lonei
  16. invicem
  17. vero q0: continebit area Perricas qua
  18. comparatis. dratieas 160 == 4 x 40. Vel etiam,
  19. cum Perticae longieudo hE pedum
  20. 1623 ade04; 4 Pertica sne Pedes
  21. 663 ee percica 40, Pedeo 660: l.
  22. dem cerex Jugerum Cive Aera vau
  23. lebit pedes quadrasicos 43560 = 66 4
  24. 660.
  25. A= 4LCt0
  26. 1 = 40l.
  27. Elinc etiam paret, varia esse posse paralleloeramma, quorum mag
  28. niindo sit aequalis, ambitus aurem admodum inaequalis; es contra, ambi-
  29. cus aequalis, ac magnitudo insequalis; ec quidem coulq; uc quo
  30. rum ambitus major est, eorum area seu maeniiudo si minor. Exlem
  31. Pligratia.
  32. Sic Rectanguli primi lacus quodlibet lex pedums erit arcas
  33. Dedum 36 =6 x6. Secundi lacitudo, pedum 4. lonsicudo
  34. Dedum 9; exit area, pedum 36 = 4X 9. Tercii lacieudo pe-
  35. dum 3, lonsicudo 12; eric area 36 = 3 n 12. Ouarei laciendo
  36. Dedum 2, Congitudo 18; erit area 36 = 2r 18. Ouinci de
  37. nig: lacitudo 2, lonsicudo 36; erit area item 36 = 1X36. El
  38. isicur eadem singulorum area seu magnicudo; nempe pedun
  39. quadcacicorum 36: ac eorum ambicus longe divert; quiDpe
  40. primis pedum 24 = 6F6 +6 + 6; (ccundi, 26 = 4 F 9 +5 + 93
  41. cercii, 30 = 3+12 F3 F 12; quarei, 40 = 2 + 18 + 2 + 165
  42. quimtis 74 = 2 + 36 + L + 36, nempe ptus quam criplomajor
  43. quam primi.
  44. Deinde
  45. =
  46. AP
  47. 20
  48. AB = 40e4
  49. =12
  50. 10
  51. 198
  52. AB L 2toV4
  53. 12= 10014
  54. la = 60 1clo
  55. B - 6601.
  56. at u 49700240

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. 198. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0244?run=74