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. 514

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: 0.82.

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

The machine reads it as

  1. Cap. IV
  2. AOMBCAALIOHLS, LI
  3. 47)242Z 2L 2Z 2R3L5XE3X27
  4. 2 X2 X 3XIZ
  5. LX2
  6. 5X
  7. L.k 2. X 33
  8. 2X2X 2X 3X6Y
  9. 23
  10. 4F
  11. CT
  12. 27 12X2XLLXILXOY
  13. Similiter; Ticum Cubo numeri 47XS XFZ XAF (prius posito,) CompOnantur
  14. Cubi numerorum 2, 8 3, quibus COmPCTUINE AGGrCSAta 3X5, _ 2X2X2X5; Ba-
  15. bencur (praeter paria) Solicarii 2 8 3. Unde pridem Colitariis 2 _ 3, Suppeditan-
  16. tur comites. Adeoque pro Cubo numeri compotici 47 X5 XFZX4FX 2 X3, (seu
  17. B X3X5 X X3X 4FX 47,) habentur (in compotico Dirilorum agpregaco) primi
  18. componentes, 2 quatuordecies; 3 et 5 quater; 7, 23, 27 e 29 bis. Ex quibus isi.
  19. cur continue mulciplicaris, oritur numerus Quadratus.
  20. 47 I2X2XZX 2X 2X3X5XT3XL7
  21. 2 XZ. X3
  22. 23
  23. 23 2Z2X5X 7
  24. 42 )2X2X 3X 7X29X29
  25. 3 22 2 x2 X 5.
  26. Oui duo Cubis sic compositi, si porro componantur singulatim cum cubo nu-
  27. meri7, (qui est ad eorum utrumque primus,) orientur actue alii duo Cubi; in
  28. quibus Rsoregata dirisorum habebunt porro (praeter primos jam expolicos) 2
  29. quater, _ 5 bIS; (pFOpter F F 7 + 49 + 343 = 400 = 2X2X2X2X5X5.) Onde
  30. prodibune itidem numeri quadrati.
  31. Flabeneur itaque jam Ouinque Cubi, in quibus Diritorum aggresata sunt nu-
  32. meri Ouadrati.
  33. 2 X
  34. Radices Cuborum.
  35. 27 X5 X TEX T3 X 4. L X 47
  36. 2X 3X 5 X T3X 4. F X 47.
  37. 27 XS X Z XTZX L3 X 4. F X 47
  38. 2. X3X 5 X 7X T3 X 4FX 47.
  39. Racices Ouacratorum.
  40. 2X (octiCS) XZXZKSXZXFLXFZXP7X29X6T.
  41. 2X (septCS) X3LZXSXSX ZXZ3XZ7X20
  42. 2X (deCIES) X3XZXSXSX ZXTLXTZXL7 X29X6L
  43. 2X (nOvieS) X3ZZXSZSX SX ZXEZXT7X29.
  44. In ouibus omnibus Cubum acibeo nullius numeri Primi non minoris quam
  45. 200. Nec ullius primi cubum compotitum, alium quam certium cubum nuext 3,
  46. seu cubum numeri 27.
  47. Simili modo (sed non nisi adtibitis cubis aliorum primorum, qui fune centena.
  48. rio majores, aue minorum falcem aliis ciitis compositis,) reperiri postunt alii
  49. Cubi, quales requiruntur: Sc ibidem ostentum est E pist. 23 828. Ouales sunE
  50. Tat sEGLINEE;
  51. Radices Cuborum.
  52. 29X25
  53. 2X3XSXT3XF7XZTX4FXT9Y
  54. 2XZXSX ZXT3XT7X3LX4
  55. 3X3X3Z SXEFXT3XT7X3LX 4. L
  56. PX3X3X
  57. 5X ZXTLXL3X L) L5LL4IXL
  58. 27X3FX47XTOI
  59. AXZ7X3CX47 X X9I.
  60. 2
  61. 93
  62. Radices

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. 514. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0538?run=74