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. 428

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: 0.80.

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

The machine reads it as

  1. ARAZHMEFICA PFOP. CXXXIX.
  2. miles) Pyramidoeidis aut Conoeidis Ellipries
  3. 20
  4. applicatae; earumque quadrata aut circuli laut fieurae quaecunque si
  5. Plane.
  6. Sequitur ex duabus praeced. Nam rectae conter-
  7. minx lune instar leomentorum Diametri. An au-
  8. rem Circulus, an Flliplis prodibir; judicandum
  9. exit eodem indicio, quo in PrOD. 124.
  10. R1. CAAAL1
  11. Lheorema.
  12. Y exponatur leries Primanorum muletata serie Tertianorum; RC-
  13. Siduorum Ouadrata, Cubis Biquadratam eC. ad seriem Aqualium,
  14. rationem habebune cognicam. Nempe
  15. Residua.
  16. aD- a
  17. _c. ad
  18. DD2 - D3
  19. Ouadrata.
  20. a D2 = 2 a D + a
  21. ecc. ulque ad
  22. D D2 -= 2DeD F
  23. 3-3. +; = os A D
  24. 2. X 4
  25. 3X5x7
  26. 5a l 2a u a
  27. AXOXBX 1C
  28. Et EC deincePS; puta
  29. 2X4 X6X8XH0
  30. OxSxTOxTZXL4RI
  31. 2X4 X6X8X1OL1L
  32. 7XGXTLXF3XT5XF7XLB
  33. PROP. CXF.
  34. Corollarium.
  35. Dem accidet, si series A:qualium mulctata serie Secundanorum, ducatur
  36. in seriem Primanorum. Eit illius duadrata, Cubi, Cdc. in Duadrata, Cu-
  37. b05 (5c. hujus.
  38. C
  39. (Puta, si recta in Semiparabola, diamerro parallela, ducantur in rectas Frian-
  40. sudi; nam earum continuariones, in complemento, lune series Secundanorum.)
  41. Ouia nempe D2 - a7 in a esta D 2 = 43. _c.
  42. PROP. CXLL
  43. Theorema.
  44. I exponatur series Primanorum muletata serie Ouartanorum; RC.
  45. siduorum Ouacrata, Cubi, eec. ad seriem Aqualium, rationem H3.
  46. bebune cognitam. Nempe
  47. Rclidua.
  48. aL
  49. _C.
  50. Ouadrata.
  51. 245D3 a a 3 a B F 3a .- a
  52. ecc.
  53. 6
  54. 3X6X9
  55. SC.
  56. 4X7X2OXL3
  57. SXGXOXTZ XX5
  58. EL Sic deinceps, pUT- 3XOX9XZ2
  59. SABKLEXIARTI SLONIZLISLIBREE
  60. PR OP. CZLTT.
  61. Corollarium.
  62. Ec
  63. Cubi.
  64. ecc. ulque ad
  65. DD5 -3 D3 DI L Z DID2-D
  66. 10= 13204
  67. 2.X 4. X6
  68. aeto AD
  69. Latat.
  70. 3X6XC
  71. 2. x4 X6X8
  72. SXZXOXTLXTS
  73. 34120
  74. Dem continget, si serres Aqualium mulelata serre Lertranorum, ducatut
  75. in seriem Primanorum.
  76. (Putam

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. 428. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0448?run=74