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. 430

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: 0.76.

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

The machine reads it as

  1. ARETHMETICA. PrOP. CLL. V.
  2. P R O P. CXLV. Theorema.
  3. Cimiliter, Si exponatur series Secundanorum muletata serie T’erriano-
  4. rum, Ouartanorum, Omintanorum, Sextanorum, _c. Relidua ipla,
  5. corumque Ouadrata, Cubi, Biguadrata, XC. rationem habebunt, ad
  6. Periem Aqualium, cam quam indicat subjecta Tabella. Nempe
  7. 3
  8. Oumcar
  9. SC XCatL.
  10. 5 Seprim.
  11. Racio quam habene ad seriem aequadium
  12. Rel. ) Quacrata.
  13. 1
  14. CX2
  15. 15102)
  16. 2K4
  17. Cubi.
  18. Fx2X3
  19. Biquadrata.
  20. EX2X3X4
  21. ZXBKOX1O OXTOXTIXL2 X13
  22. 2x4X6
  23. 2X4X6+8
  24. SNZXO ,ZKOXTLRIZ ORETKTSETSLE
  25. 3X
  26. 3X6X9
  27. ZX6X9XT2
  28. 3X6SXBXTE (ZXIOXL3ZT6IOXT2XE5XIBX2TC8
  29. (3X7
  30. 4. X8
  31. 4X8XI2.
  32. 4 XBX IZX16
  33. SYORE3I LZXLLXISKTOIONLZKE7 X2EX25
  34. -5X10 - SXTOXY5
  35. -SXTOXTSX2O
  36. 13X8)SXTOXT5 ZXY2XT7X22 9XT4XT9X24. X29
  37. 3C GEq ilsp= 6 s1 BXFZ i p. 6XT2X 18 L16NI2X18X24
  38. sudsi osit BCBC(3XOSXEEXLZ YXL3XF9K2GI9X DSRXEX 27X33
  39. usis dmt
  40. latii inim it lic deincepe, uc inductione parebiti, ii siliti
  41. PROP. CXLVI.
  42. Theorema. siu
  43. Tem, Si exponatur series Ferrianorum muletata seric Ouartano-
  44. rum, Ouintanorum, Sextanorum, etc. Relidua ipla, corumque
  45. Ouadrata, Cubi, Biguadrata, ec. rationem habebunt, ad seriem
  46. aqualium, eam quam indieat subjecta Fabella. Nempe
  47. Septuat.
  48. B Octaran.
  49. Racio quam habent ad seriem aequalium
  50. Rel. Ouadrara. )
  51. F
  52. Cubi.
  53. TXZ 1 TXZX3
  54. Biguadrata.
  55. TX2 X3X4
  56. 4X5) ZXBX9 TOXLEXLZXT3 TZXT4XF5XYX17
  57. 2 2X4.
  58. 2X4 XC
  59. 2X4X6XB
  60. 4X6) ZROXEF IOXLZ XT4 X X6, T3XYSXP7 X Y9X2
  61. 3
  62. 346
  63. 3X6X9
  64. 3X6XOX12
  65. 427 7RIOXL3(1OX1316X1913R 26~L9H 22
  66. +1 4X8 4XBX12 4XBXT2. X16
  67. 4XB ZXLTX25 YOXX4XL8X22 (23XZ7X2LX25X29
  68. -3 ) 5Z1O SXTOXIS SXTOKESX2C
  69. 4X O(7XTZXX7 sTOKZ5 X2OX25(F3XL8 X23 + 28X 33
  70. Ht hic deinceps, ut inductione patebit.
  71. 3
  72. c
  73. SC+2O.
  74. X
  75. Tercian.
  76. Ouaee
  77. VMattaM.
  78. Ouincan
  79. Sextan.

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. 430. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0450?run=74