Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 472

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: 0.77.

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

The machine reads it as

  1. inde Ro
  2. ARITHMEEIdK ProP. CXCII.
  3. Nempe, in quarra, ad hanc Formam.
  4. 2X4. X426) 9: 426: (3 = 2 6X8X8Z10) G: 8x1O: (18= 3
  5. 368+ 4510 8, 5103, 27 ia 2, 21a 2, ~9 18 18, 318 18
  6. AX
  7. 2 X 4
  8. X 6
  9. 6X 8
  10. 4X6X6x8) O: 6x8: (2 = 3
  11. In serie quinca, ae hanc Formam.
  12. 2X4X6X4X6~8) O: 42628: (3 =a
  13. 363, 2510,81 2714 2, 51 8, 47 11 2 Y D 18 81
  14. 2 X 4 X C
  15. X 8
  16. 8 X 10
  17. AX6XBXOXBX7O) O: 6XBYTO: (2 =3
  18. Et similiter in sequentibus seriebus. Nempe singula rationes Periei quartae,
  19. quintae, sextae, ec. componuncur ex leriei terrix rationibus binis, ternis, qua-
  20. ternis, ec.
  21. Cum autem in singulis his rationum jam inventarum seriebus (ex quarum con-
  22. tinuo ductu constitmuntur Tabellx nostra numeri) commodum videatur ut in
  23. variis tormis exhiberi postine, de (prouc opus videbicur) ab una in aliam trant-
  24. Formari, quo melius (aliarum Fractionum instar) overariones Arichmelleas AINCL
  25. piane: Porelt et id commode ticri per ea quae in hujus Scholii inicio tradica TunE.
  26. Nempe, resoluris (ue ibidem docetur) quadraris numerorum parium in rectan-
  27. sulorum illis aequalium latera illie indicata, nocencur cinsula (ob commodioscu
  28. procellum) suis Cymbolis, hoc modo,
  29. ∞
  30. 221C+ 19610810101612
  31. C
  32. D
  33. 2 a
  34. 366+ 510
  35. 14
  36. ia 19
  37. d1818
  38. 2B li5C) 2D
  39. 2X 9l a r 18L
  40. 23 d
  41. 16 x 3C
  42. pin sn teo sentont
  43. 28X38L
  44. (35 X sC
  45. 764
  46. Cum enim sic_. B = 92 = 4, _ BC. = 94. = 16:
  47. Frit 4. 16:: BB. BC:: D. C =- 150 = 4B;
  48. EC Z C =∞. Icem D) 4 (B, _ B) 4 (O.
  49. Ec Timilicer in locis reliquis.
  50. Adeoque eum rationes nuper inrenta, sint in serie
  51. Prima A ~- - - - -
  52. 10
  53. 233, 308, 5108 712, 918 18, =2 3 3, 32623
  54. hoc est AL = + ∞
  55. 8 TO T2
  56. D F F X 2 c.
  57. Secunca, AX = X3 XSKB X 1BX B _ _C.
  58. -
  59. Ferira,

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 472. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0492?run=74