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. 464

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: 0.75.

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

The machine reads it as

  1. AlsetmLcea LcoP. CC
  2. In Perie Octara (Ere parium quarta) distribuencta cst quaelibet
  3. racio item in binas, sed quarum ulraque eAt ex ternis compolica, sic.
  4. ec.
  5. 1620 327LG nne
  6. CX3
  7. 2 X4. X6 F
  8. n527 42618 52729
  9. 8c.
  10. 464
  11. Nempe, dirita prius, qualibet ratione in senas, (puta
  12. 3X4 X5 X 6x7 x8
  13. 2 X 3X 4X5X6X 7
  14. 5 X 6 X 7 X 8XO
  15. 324Z5 26x7 ~8, _C.) quae postea di
  16. Ctribuendae lunt alternatim in duas clases.
  17. Et similiter in serie Decima, Duodecima, etc. diridenda quaelibet.
  18. racio in Octonasu Denasu ec. qua alternarim distribuenda sunc in dua5
  19. ClasTeS.
  20. (In serie aurem Secunda (sive parium Prima) nulla rationum divi-
  21. sione opusest, sedcum omnes lint eadem aequalicaris ratio, (ire L: ca-
  22. dem illa est eubique intervonendta, nam +x + = +.)
  23. Verum si in sericbus Imparibus illud aegrediamur; nempe ut quaeli-
  24. bec racio in duas (aequabilites progr ediendo) distribuatur; res non
  25. ita feliciter succedit.
  26. Nam (verbi eratia) cum (ex analosia reliquarum) rationes seriei Oninex
  27. diridendae essent in ternas, Sepcimae in quinas, ec. (numero semper impares,)
  28. non porest tieri ilta aequabilis earum diltributio in duas cclastes quiae ad debitam
  29. interpolationem requiritur.
  30. FSECII:
  31. Fota propolitio (inspecta Tabella) Patis per se patet animadrertenti.
  32. Res aliquanco clarius torcasse parebit ubi serierum aliquoc rariones in bia5, Ter
  33. nas, quaternas, ecc. ( prouc lexies quaelibe pottulat) dirilero. empe
  34. 1.(I TIICHB cideli
  35. A S C . G CIn serie quarea. IS LWII SICISCOS CANp ut
  36. In lexie rertia. stde II EC EISL sII CBEIIZ sIVESECI
  37. Ao sidIICCyeHO) C BC
  38. 18IX 9 s Bestot S , sed Si. HOVC
  39. DxFO , 3.TIIZX 8. SVH, cdrst 3irS) st
  40. en terre lesla.
  41. ssioces herrsel Bsi c siselcgete erclsicl
  42. 2.X3X
  43. 5X6X
  44. 4.
  45. XC
  46. IXBXG
  47. 6x328
  48. ZTC
  49. xC
  50. 3X4. X5
  51. X8
  52. 5X6X
  53. BXOKTC
  54. XG
  55. it 1S1BX 9X20 i1e 1 at. 1110
  56. In Perie quinca.
  57. 3X4X5AO
  58. 2. X3X 4. X g
  59. X. 7X
  60. 5.
  61. Z.X
  62. t.X
  63. c4
  64. LX.
  65. X6X7
  66. 3X
  67. C5XO
  68. 3X9
  69. SX6X7X8
  70. ZXBKO XO
  71. 4X5X6X)
  72. Z XBXOXTO
  73. 627LBVG eVI
  74. OxTOKTEKEZ
  75. BXD XFOKTXIL 3
  76. BRORTSKEE
  77. i chactet eit slm

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. 464. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0484?run=74