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. 433

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: 0.74.

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

The machine reads it as

  1. Pxop. CBIY.
  2. TNFTNLTOROM.
  3. P LOF. CLL V E
  4. Theorema.
  5. P.D Ariter, St exponatur seltes subtertianorum mulctata seriee Prima-
  6. Lenorum, Sccundanorum, Tertianorum, _c. vel Radicum Cubica-
  7. rum Secundanorum, Ouartanorum, Ouintanorum, Septimanorum, sc.
  8. Residua ipta, corumque Duadrata, Cubi, Biguadrata, ec. rationem h2-
  9. bebunt, ad seriem squalium, eam quam indicat subjecta Tabella.
  10. Nempe
  11. 1111OI.
  12. Ferrianor.
  13. Kacio quam habent ad seriem A quatium
  14. Ret. Ouacrata.
  15. X4.
  16. 5X7X9
  17. 16
  18. SXBXTL
  19. T2 X8
  20. Cubi. I. re Biguadrata. d.
  21. 113 X 2, X 3 01
  22. 8X7X8X9
  23. 19103X2X33
  24. ZXBKOKTO
  25. AICI
  26. _P 6X4X6hβDE OX4 X6X8 11
  27. SEBRIORIZZKOKLLKTSKIS
  28. oubto
  29. ORBRONIE
  30. 6XOXTZ ZF5 7XTOXT3XT6XT9
  31. T2X8XT2 ZZXBRTZ X TC
  32. X 8) SXOXFZ 6XTOXTAXLBI7XTLXISXFOX2:
  33. Z5X7OX 75,) X5X 1OX15X2C
  34. FAIBINXTOXES OXTZXISKEEBZXERXN7 X22X27
  35. 148, 18xY2 1) 18XT2X 1B sf 1BX L2 X 1Bx 24
  36. AXEOLSXTZXEZ SXTZXL8X24) 7XT3X FOX25X3F
  37. 2F PL ,2F X 14 2YX F4.X2TC, ZEX L4. X 2T. X28
  38. AXLZ S, XLZXY9 I8XL3Y2OX27 7 X L4X 2L, X 2OX 35
  39. 2t
  40. 24X26 24XT6X24) 24XL6X24X32
  41. E
  42. (4X72(5XT3 X2Y (6YF4X22. X 3O(ZXYSN23X 3EX3Dd
  43. Et sic deinceps, ue inductione paret.
  44. SC HO =Z0 I.
  45. rorn
  46. Ft simili methodo non erit distieilé dt has Fabellas quousque libet concinuare.
  47. et alias eriam pro seriebus aliis: componere; Duca. senietus subquartanoxuns Cub-
  48. quincanorum, ec. f auc quidem radicum quadracieirum subcertianorum, fybquin.
  49. canorum, Sc. vel radicum cubicarum sublecundanorum, subsquartanorum, c.
  50. auc aliarum similium) muletatis seriebus, quibullibet luperioris poceltatis.
  51. Sed e Facile est has Pabellas (aliasque similiter condendas) inerpolate, Tal
  52. rem quoad alticudinem, incerponendo sexies pransversas quorjbet, uc ex ipla Ta.
  53. bellarum progrectione rire considerata pareBs. 1
  54. exbi oratia in Tabella PrOP. 144. Si series Primanorum mulctetur serie Ra.
  55. dicum g
  56. series alia transversa incer primam st sccundam istius Pabella, (quia nempe Raci
  57. ces quadrarica Ouincanorum, quarum index est 3, vel 23, medium locum ha-
  58. bent inces secuncana e tertiana, quorum indices Z et 3;) eriique teries Illa,
  59. 2
  60. 2
  61. a
  62. E
  63. ic
  64. 25, C pl, L5 X 1O
  65. Relidua.

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. 433. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0453?run=74