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. 437

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. CaP. C.
  2. A L G F B R A.
  3. Frog. TF 0.7853982. (lacicudinis arcus grad. 45.) ad 0. 8823736: Sic grad.
  4. 45 in Aquatore, ad diltantiam inde Paralleli Gract, 453 in charta Nautie
  5. In calibus rero ubi Miulciplicationes occurrunt non tam tacile veragendae; J0
  6. Sarichmorum ope poterunt expedicius inveniri Pocestatum Logaritimi; iique
  7. Pabellae ope) in numeros naturales conversi, diridendi erunt.
  8. Sic pro Latuucine sract. 20. POliio R = T. Sinus erir 5 =. 3420202. Fujus
  9. LOBarIChmUIS, 2. 53405+5: Flujus duplus T. 068+030, cst Logarichmus quadrari
  10. 52. Lujusque concinua additione (P. Ocarichmo iptius S,) habentur Losarictmi
  11. pocestatum 5, 53, 5, dec. Ouigue Loxariitmis hris respondent numeri nacurales,
  12. diridendi CxUNE PeT (7 3, 5, 7 eC.
  13. Dirisores. Losarichmi. Dumeri.
  14. E) 5 7. 5340525. 3420202
  15. 3) S3
  16. S
  17. S
  18. 2: 6021545
  19. 5. 6702575
  20. v400088.
  21. . 004680F +
  22. 4. 7383605.0005475 -
  23. 5) 53 5. 8064635. 000064. F+
  24. TZ) S 6. 8745665,0000075 -
  25. T3) 515 7. 9426695, 0000009-
  26. Duorientes.
  27. C. 3420202
  28. C. 0233363 -
  29. l. 0009360 +
  30. (. 0000782+
  31. (. 0000071+
  32. l. 0000007.
  33. l. 9000001 L
  34. 3563786
  35. Vrisitur 0. 3400669 (lacicudinis arcus gract. 20.) ad 0.3563786: Sic grac. 20.
  36. in Aquatore, ad dillanciam inde (in Charca Praurica) paralleli graduum 20.
  37. Ad alteram quaestionem quod spectat, dc B D = 2 +
  38. 2
  39. 2
  40. q..l2
  41. (ubi numeri +, 2,6, 24, F20, _c. Eune concinua muleixlicatione numerorum , 2.
  42. 3, 4, 5, ecc.) Ouxe est D. Nerotoni Proxolirio. Hoc etto exemplum;
  43. POnamuS a = 10, b ==8, 2 = 16. Tum erit
  44. 2 a b) 2 (= 0. 2
  45. 6a2 B3) 2 (= 0, 0733333
  46. 24 a b2) 2 (= 0, 0006667-
  47. 120 at B5) 25 (== 0.0000267.
  48. 2.
  49. 2.) 0. 4
  50. 16)0. 08
  51. 24)0. 016
  52. 720)0, 0032
  53. (0. 8000267
  54. 720n B) 2 (==0. 0000009 720)0, 00064 (0. 0000009.
  55. BD = 2. 2 240276
  56. BD = 2. 2140276
  57. Ouae quidem (prouc numeri hic ponunclé) sie Pacile compuientur. Duoniam
  58. 2 == 26, 8 b =8; erir
  59. e (Crgeer
  60. 8 = 2. Hujusque Oyactrata, Cubi, et sequentes
  61. vocestateo, (Hoc ett, 4. 8, 26, dec. ) cune .
  62. 5
  63. an ai a dic. hoc Cl, vec 2, 10, 100, 200B, dc) sume . ab abo gollc. Dua
  64. porco per +, 2, 6, 24, ec. divisa; exhibent qualica membra, quocum nesrexacum
  65. aquatur quaelna recta BD.
  66. Si autem dati numeri a, b, 2, mminus commode Contineane: plila, a = 13. B . 7
  67. E +F: poteri mulciplicaresi caedium, losatiitmorum ope lerari; sie ninirum
  68. Procedendo.
  69. A FoParichmo numeri 2, Tubtrahatur L. ogarichmus numeri b: acque cum con-
  70. cinue procedatur; Addendo semper primum hunc Reliduum PoBarichmum, e
  71. Suberatiendo (Luo ordine) Posarictimos nUeTOruM 2 a, 3 a, 4 a, ec. Numeri
  72. que Reliduis L opacitmis jespoydenies, tunt miembca qualsicum tiexiexacum con
  73. irvencia.
  74. (0. 07333337
  75. (0. 0006667-
  76. L.054

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. 437. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0461?run=74