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. 64

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: 0.70.

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

The machine reads it as

  1. IVS
  2. Labella sadicionis Dubdct tas.
  3. 9 IsE 11C
  4. 174
  5. 122
  6. lC2l23
  7. 14125
  8. 7 (8 19120I22172123124 I25I26] lil eile
  9. 5170IFFI72 (23154 (15 126I 17
  10. 3(20)FL 112 123 124 125 126157118
  11. Si enim nungelocum addendorum alcex sumatur in summitate seriei crectae, al-
  12. ter in principio seriei tranlversa, communis serierum concurtys oltender corum
  13. aegregacum. Fxempli gracia si sumatur in vertice 2, ad latus 3, communis con-
  14. cursus extibet 5, qui aequalis est avorc8at0 2 + 3.
  15. t
  16. Siquis denique vericacem hujus cabellae demonstrandam postu-
  17. lec; illud hoc modo tiet. Verbi graria. 2 + 3 = 5 sic demonstra
  18. cur. Ponancur primum duo puncta, et deinde tria, quae omnia si
  19. numerentur reperientur quinque. Vel Sic. Guoniam nocum est
  20. ex ipla numerorum proereguione (quam Cap. 5. eradicimus) quod
  21. + 7= 2
  22. 8. 8
  23. DF 35.1 5 F=6.
  24. = F, 10, 10 F E = LF. FrynCeciam (Det
  25. axiomata superius in hoc capite eradia) 2-
  26. F 3 = 5. Vet
  27. F5 7 +
  28. Acque eodem modo rora cabetsa demonstrari pocelt.
  29. F1t A =F5. FFBO
  30. =3 = FH. L, 4 Y F. = 5.
  31. Si quis aucem Fabellam illam abbrerigndam cupias, vorerie illa quidem tieri
  32. fere duplo minor. Cum enim lit verbi oratia A F 3 = 3 + 43 susticiac horum
  33. summam semet poni, eo moco quo hic ostendicur: ubi duorum numerorum ad-
  34. dendorum major semper in tromce rabella, minor ad latuS guxratuP, agGregaTum
  35. In aCd., si 11 IBO 4 lr. M L
  36. CF O BLA BACTIHA N WDE) CAITIVON
  37. esp esst itga . V aaditionis Pabella Contractior:e l. sest BOWB SiIO
  38. ot
  39. pis
  40. cccisite
  41. ueua ciure l 10. 10Xc 2 1. 13 1 4 1 5 16 1 71 8 191A 10
  42. 1od. lori 1 eril E X 1 2 1 3(1 4 1 5 1 6 17
  43. 5 eF 3uril 2
  44. l 4
  45. 5
  46. 19120
  47. D 17OIFF
  48. 1us estat p viloguavs 13, 3 l 8 102 l. 8, 1 0. 140 1. 22 1 22
  49. ressacrest CucLLNMELS eBSMN C 8 I 91I FOI FFI X2 1X3
  50. cila em te holle eiremup Wvilloni 5 [10 I EF 1 121231 14
  51. iseos l.
  52. NEV. ∞F7
  53. de
  54. uit vd vet
  55. 21s 5.l..C) 1g
  56. clicto vec
  57. 5 l 12 1 13 124 125
  58. 1
  59. 7 124 I 25 1 70
  60. 2611
  61. 2
  62. esitsi
  63. In numerorum compotitorum addirione major est difficultas, quae tamen, tot
  64. ex simplicium additione dependet. Hloc aurem quo commodius trat, numeri ad
  65. composi dendi ita seribendi sunc uc unus alteri directe sublic, ita nempe uc Monades unius
  66. Monadibus alterius subsint, et decades decadibus, reliquique loci inferioris iisdem
  67. respectire superioris locis lubseribantur: quod Faciendum est sire duo sire plu-
  68. res quoeris numeri addendi sinc: acque deinde, ducta lubtus lincola, aggregatum
  69. monadum monadibus subleribendum, decadum decadibus, centuriarum cenutriis
  70. arque sic deinceps. PNempi gratia. Addancur 25634 + 63152. Nlumeris isitur
  71. XIE
  72. 8 170
  73. sit qulo vic 11
  74. In NU.
  75. meris
  76. 11.
  77. s
  78. 2

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. 64. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0084?run=74