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. 177

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: 0.80.

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The machine reads it as

  1. CaP. XXXTII. GTEOMETRICA.
  2. Etiransponendto, Sl - 5 = VR - A. erie surcinque dividendo) 5 = VH = A
  3. Vel sic, per praetencem, S - VB = Ag VAR = Ag VR = A
  4. E = A
  5. 72. Datis ipieur extremis _E FaTIONC COIMUNI; A, V, R, habetur cerminorum
  6. omnium sumima S. Nempe S =
  7. R - A
  8. R - 5. per prop. 68. vel 71.
  9. 73. Idem habetur, A, PrO extremis A, V, cacencur A, II. Nempe S-
  10. Nam A) H = V.
  11. 74. Vel A, X. Nempe 5 = a AR = A
  12. R ==
  13. Nam V A = V.
  14. 75. Vel V, H. Nempe S =V R -V)n
  15. R
  16. =+
  17. 76. Vel V, ~. Nempe 5 = Y R - ∞ )
  18. NamV) H = A
  19. rI
  20. 77. Vel denique H, X. Nempe S = RY X H - Y: X)V. Nam v 1 = v.
  21. Et XI H = 12
  22. e-
  23. 78. Fc, dario extremis, cum cerminorum omnium Tumma; A, V, S; habetur
  24. communis ratio. R. Nam per prop. 68, vel 72. 5 - -
  25. R- t
  26. =. hoc est, SR - 8
  27. =VE = a; adeoque BR - V R = 5 = A, e = R. Vel brerius, per
  28. PrOP. 70.5
  29. 3
  30. 79. Idem habetur, C, PrO A, V, darentur A, 12. Nempe R =
  31. 80. Velu A, Z. NempCR =
  32. SE. VcL V, H. NempcK- 3-vin
  33. 282. Vch V, Z. Nempe R = 8 =
  34. 83. Vel denique, M, Z. Nempe R - 5 = V
  35. viu
  36. A)U
  37. 8g. trem, datis termino minimo, ratione communi, de cerminorum omnium
  38. summa; A, R, S; dacur maximus. V. Nam (UC in PrOP. 78.) SR = S = V R = A.
  39. Ereo SR = S F A = V B, eSR- 5 + A
  40. 85. EL datis cermino maximo, ratione communi, ee terminorum omnium sum.
  41. ma; V, R, S; datur minimus. A. Cum enim (ut in praeced.) SR - S A = VR;
  42. exit (cranlponendo) VR - SR F S = A.
  43. 86. Trem, daris TerMInO MINIMIO, TatONE CONUNI, EE TETMINOTUI RUMeTO; A, R, P;
  44. dacur cerminorum omnium cumma. S. NaM, PET PF. Y9. V = A Rd, _ V R = AH;
  45. ErBO Per PTOP. 68, 5 - VR - A AR.-
  46. A
  47. 87. E datis cermino minimo, ratione communi, et progrectionis Tumma; A,
  48. R, S; dacur numerus terminorum. P. EH enim (ut in PrOP. 84.) SR = 5. F A
  49. = Y R = AR= (Per PC. 79.) Adcoque SR - 5 F A
  50. =Rc. Ouaerendum igituT
  51. quoca porettas Exponenis racionis communis R, aequatur quancilali coenica
  52. SR- 5. F A
  53. 88. EC

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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. 177. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0197?run=74