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. 415

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: 0.78.

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

The machine reads it as

  1. PEOP. CXVII. TALLATLOROM.
  2. Puta si cermini L N FY 8 a
  3. continuentur ad VR ZV R
  4. CNIE SuIA AYN FZ AVP
  5. Hoc est, Relidua X - 3 = 3
  6. AECreGata
  7. Et Similicer (mucatis mutandis) in aliis quituscunque.
  8. P ROP. CXVII.
  9. Theorema.
  10. R ZV Oa
  11. P. FV La
  12. VR F V 27 a
  13. _c. 2d
  14. 13R = V3O a
  15. V I FVTa
  16. V3R
  17. 134 d
  18. VR2 F 139a
  19. C. ac
  20. V3R~ Z VR
  21. VPA = V3 04
  22. V3R
  23. Y3R4 F V3 76a2
  24. VR F V8Za
  25. ec. ad
  26. BR = V R
  27. AYN FZ ANK ANRI FZ aY P.
  28. T exponatur tereS Agnalium muletata terre Primanorum; RCt
  29. 3 duorum Ouadeata, Cubi, Biquadrata, 8c. ad seriem toridem co-
  30. rum maximo xequalium, rationem habebune cosnitam.
  31. Placet autem pro noris T, a, 2 a, 3 a, _c. (in praecedentibus proposicionibus utur-
  32. pacis) jam sublticuer: an by cy dc. quo melius operationis proceltiis perspiciatur.
  33. Serie
  34. dc.
  35. AR - : AC (A l = 2 A R + i a
  36. nemDC F = =
  37. vel
  38. A8-3 L, f32 aat
  39. Fir sje deinceps, concinue mulciplicando nunieros Rrichmerice proportionales.
  40. prouc pocectacis gradtus postulac) ab L e 2, unirare conrinue crescentes.
  41. tit qualem nihil sunc quam coridem series Primanorum, Secundanorum, Pex-
  42. tianorum, Guarcanorum, dcc. InveriX.
  43. FROP. CXV
  44. Theorema.
  45. F exponatur series Aqualium muletata serie Secundanorum: R esi-
  46. duorum Ouacraca, Cubi, Biguacrata, ec. ad seriem toridem corum
  47. maximo aequalium rationem habebunt conicam. Nempe
  48. Ouadrata
  49. Praca.
  50. L
  51. aR
  52. EC. dc
  53. F
  54. R3-
  55. R3.
  56. R3
  57. R3-
  58. 0 R2 + 00k =000
  59. BF
  60. EC. 20
  61. R2 = 3RR F 3R R =R3
  62. X2
  63. X3X4
  64. k0
  65. R
  66. Cubi
  67. 3a2 R+ 34 R-
  68. bR+ + 364R2
  69. 36R + F 3∞+R2.
  70. _c. ulque ad
  71. R = 3RR
  72. LR
  73. aL - 2a P +: a f. - , a d
  74. 14XC
  75. R
  76. R6
  77. Scriei
  78. dec.
  79. R2 = BOR c2
  80. R2 = 2 R R L R2
  81. R+ =00R 2 LOC
  82. summa AP. - iA
  83. net De
  84. L 2a l
  85. R4 = 2VR +
  86. L = 262R F6
  87. cC. usque ac
  88. R4 = 2R W F R
  89. e -14 2 + i aV
  90. 00R. f00R2 -00
  91. R

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. 415. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0435?run=74