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. 414

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: 0.83.

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

The machine reads it as

  1. ARITEIMETIC A
  2. PxOP. CX
  3. LLL. CXCl.
  4. Corollarium.
  5. RsO, Si Paralleloerammo auferatur complementum semr par avouu, semi-
  6. rabola, Semi-paraboloeides cubicale, biquadraticale 6C.) erit 53 43 33 .
  7. eotius Paralleloeramm: sn eidem Paralleloerammo ejusmodi complementum,
  8. addatur, erit acgregatum 3, 2, 5, 6c. ejusdem Parallelogramme.
  9. Patet ex praecedente.
  10. P ROP. CXIII
  11. Corollarium.
  12. Tem Cylindrus Conice excavatus, (vel Prisma Pyram) Conu
  13. iseeri duos trientes. Et similiter de aliis excavationibus (mutatis mu-
  14. tandis) siet pudoti
  15. PALEt Ex PrOP. FFT. Subducta quippe serie Sccuncanorum, ex serie aequalium.
  16. PROP. CXIV.
  17. Theorema.
  18. lSeries aequalium Muletetur serie sublecundanorum, uuotextiano-
  19. norum, subguartanctum, etc. Residua crure torius Friens, Oua-
  20. drans, Sumcasso, u. Sh ita augeatur, crunt Reoresata ejusdem quin-
  21. que Frientes, serrem Ouadrantes, norem Ouintantes, ec. rel, du-
  22. Dlum minus Friente, Ouadrante, Guintante, etc.
  23. Rempe l perneunt.
  24. Continuentur ad
  25. EYR= VOa
  26. VRF VCa
  27. VR FY2a
  28. VR = V3a
  29. dc.
  30. VR FVR
  31. ErunE SuMME (PEr BTOP. 54.) AVR + Z AYR
  32. Hoc est Retiduorum Cumma 1 - 3 =
  33. Reprexatorum Turm2
  34. PR OP. CZV.
  35. Corellarium.
  36. LC Si Paralleloerammo auferatur Parabola L’araboideraes Calte
  37. Biquadraticale, 850. Residuum erit totius Friens, Quadrans, Qurt
  38. tans, 13c. Sin addatur, erit Aeerecatum Paralleloerammi duplum minus
  39. Triente, Duadrante, Duintante, (36.
  40. SequituX ex Praced.
  41. rel 64.
  42. Paraboloeidis cubicalis, biquadraticalis, Coc. Residuum (puta Sehit pa-
  43. Vlc + V3Oa
  44. VL4V +l
  45. V3R = 132a
  46. V3R F
  47. 13
  48. etc
  49. V R F VR
  50. AY IC + g+V3R.
  51. L AOT. CXVI.
  52. Theorema.
  53. VAR = V0a
  54. V+R F V+ Ta
  55. VtR F V2a
  56. NIR = Y 3a
  57. VAR Z VAK
  58. AVAR FE AVAK
  59. ari modo judicandum eric in serieous a LCAL aum Sub.
  60. ducendis rel addcs; Quarum quantitas BCCIt CX PrOP. 59.
  61. Pura

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. 414. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0434?run=74