Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 387

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: 0.81.

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

The machine reads it as

  1. Cap. LIC
  2. = + 26 1Y-
  3. 20
  4. 56 a
  5. L G F B R A.
  6. 6
  7. 60
  8. i
  9. 5a
  10. 160C9
  11. 3663 a a
  12. 5C~
  13. 76a
  14. ec.
  15. Eri mimerales Coefticientes terminorum in suprema linea (2, - =, - 10,
  16. 576, ec. in insinitum,) oriuntur a continua mulciplicatione primi 2, Dex termi
  17. nostrujus progrectionis,
  18. = THZ EX3 345 5X7 7 Y 9
  19. 2X 34 X 5 6X7 BKG FOXFF
  20. _c
  21. Pc numerales Coefficientes descendentium terminorum in quaque columna, in infi
  22. nicum; oriuncur d continua mulciplicatione supremi; nimirum,
  23. In prima columna, per candem progresionem.
  24. XF 3X3 5X5 7X7
  25. In Secuncam per hanei 2 n 3 4 n 5 6x 7, 829 dc.
  26. XF 5X3 7X5. 0XZ
  27. In terria, pex HanC, 2 X 3 4 X 5 6X 7 8Xg .
  28. XF, ZX3 9X5 TTX7
  29. In quarta, per haner 2 x 3 4 X5 6Z7 8XO
  30. XF OKZ TEX5 Y3X7
  31. In quinca, per hanen 2 x 3 4x 5 6n 7 8X9
  32. Et sic porro in infinitum.
  33. _c.
  34. dec.
  35. simili modo, postunt mulcorum aliorum Solidorum Segmenta detienari; eorum.
  36. que ralores exprimi per hujusmodi series numerales, regulari ordine procedentes
  37. In Problematis perplexioribus, in quibus haberi non poterunt hujusmodi se.
  38. ries, sive per Diritionem, sire per P. xeractionem radicum A quarionum simplicium
  39. aut aftectarum: alciores achue methodi procectuum actribenda Tunt. Ouales ha-
  40. bere se duas ait: alteram Fxpediriorem, alieram magis Creneralem.
  41. Sed e alias item methodos innuit obrinendi series Conrergentes; quarum de
  42. nonnullas exhibet: Sed quasego, ne prolixior sim, omitto.
  43. Per has methodos; Duando Problema reductum fuerit ad hujusmodi Seriem,
  44. infinite continuandam; muliae approximationes, ului commoda, tacile obtineantur,
  45. ec labore non magno, dua alias agre obcineantur, magno cemporis de laboris impendio.
  46. Hlujus Specimen exhiber in exemplo subjecto, pro Circuli Ouadratura; cum illo
  47. Clarist. Christiani FLugenii, super idem subjectum, comparando.
  48. Exemplum Z. Data cujusvis Arcus chorda A, areusque dimidii chorda B; Lnve-
  49. nire arous loneitudinem, proxime. Ponatur arcuS = Z; et circuli racius = r: tM
  50. (per ea quae lupra ostenla lunc) habemuo ( duplum linum aecub 3. 2)
  51. dc
  52. _C.
  53. FCB =
  54. 4X6rr 4X4 X T2O74
  55. 2 X16XOY anotLa
  56. Pum

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 387. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0411?run=74