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. 432

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: 0.79.

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

The machine reads it as

  1. ARLTHMETICA
  2. ExOp. Cil il.
  3. PRO P. CLI. Corollari.
  4. Dem continzet, si serres A.qualium mulitata serie Primanorum, ducatur in
  5. seriem Subsecundanorum.
  6. Ouia D = a vel V D = V a in Y a Facie DY a = a Y a, vel V a D = V a.
  7. SC TTOF TV M.
  8. Ex simidicer etiam alibi incelligendum est, ubi series expolica diridi postie, in duas
  9. rel plures componentes.
  10. itc
  11. eROP. CLI.
  12. Tbeorema.
  13. T exponatur series Subsecundanorum muletata serie Secundanorum;
  14. Residuorum Ouadrata, Cubi, Biguadracan etc. ad seriem Aqual
  15. um, rationem habebune cognitam. Nempe
  16. Relidua.
  17. Ouadrara.
  18. Cubi.
  19. VaD =Ya Va D = 2Y a D + Va Va D = 3Ya D F 3Va D3 = ya2
  20. Ec
  21. _C.
  22. 4.X7 X1O
  23. et
  24. _c.
  25. 24
  26. 5160 1546
  27. 6X6XO
  28. SXBXTEKT4
  29. ENEC deineeps. Ec simmilices in subdluetione seriei cujutvis porestatis superio.
  30. ris. Adeoque
  31. PROP. CLMT. Theorema.
  32. CT exponatur series Sublecundanorum muletata serie Primanorum;
  33. Secundanorum, Tertianorum, Sc. vel Radicum Ouadraticarum
  34. Tercianorum, Cumtanorum, XC. Relidua iplas corunque Ouadrata,
  35. Cubius Biguadeata, ec. rationem habebune, ad seriem squalium, cam
  36. quam indicat subjecta Tabella. Nempe
  37. Racio quam habent ad seriem A. qualium
  38. Residua) Ouacracaj Cubi
  39. 2X2
  40. 5X4 4X5 X6
  41. T2
  42. 424
  43. 27223
  44. Biguadrata
  45. 2X2 X3XC
  46. SX6X IXB 6X7XBX9XTC
  47. 4X 4. X6.)
  48. 4X4. X6~8
  49. 4X6x8 SXZXOXTF 6XBX TOX LZ X L4
  50. 676
  51. 6X6XO 6X6XOXTZ
  52. 4X7XTO ISXBRTLXI4 OXOKTZXF5XY
  53. 878
  54. BXBXL2 8XBKT2X16
  55. 4XBXT2 SXOX 13XX7 6X2OXL4 X LBA2. 2
  56. 1OXZO IOXTOY25 LORYOX15X20
  57. 4X 9X Z4 SXTOXZSXZOOXZZXZ6XZ FX26
  58. IZXT2 T2XT2X1B 1ZX T2 XTBX24.
  59. 3X9 4RTOXI6SXLEXZ7X236XTZ X TBX 24. X 30
  60. 24 24XF4 24. X24 X2 F 24XX4X2FX28
  61. A
  62. 3x 10 4X TZXZBISXT2XF9X266X13X2OX27X34
  63. Et Ec deinceps, ut inductione patebit.
  64. XC
  65. X
  66. 3
  67. Pxitmanor
  68. V2
  69. Fcltranor
  70. et Y Sepii
  71. Duarran.
  72. PROP.

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. 432. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0452?run=74