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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. 178

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: 0.79.

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The machine reads it as

  1. DE PROGRESSIONE Cap. XXXIII.
  2. 88. Et, Datis termino minimo, progrestionis summa, de numero terminorum;
  3. A, S, T; dacur communis ratio. R. Nam (ut in praeced.) SR - S f A == A R F.
  4. adeoque SR = AR, = 5 - A. FF D = = R = R.. Cujus aequationis radix
  5. clt R, qua (Ica.
  6. 89. EFdaris ratione communi, numero terminorum, e summa progrectionis;
  7. B, P, S; datur terminus minimus. A. Cum enim (uc in praced.) SR - 5 f A
  8. = A R.. adeoque SR =S = A R = A. Erit A =
  9. R 5
  10. R -
  11. B. -= F R = 2
  12. 90. Pari modo; Dato termino maximo, cum ratione communi, de numerO
  13. terminorum; V, R, P; datur lumma prosressionis. S. NaM per PF. 20. A = (4) V.
  14. ErBO per Pr. 68. 5 - VR = A V R = RO) V VB. =
  15. R.
  16. +
  17. R = RA
  18. OT. FL; Dato cermino maximo, cum ratione communi, et progrectionis (umma;
  19. V, R, S; datur numerus terminorum. T. NAM Per pr. 85. A = V R F S =SR;
  20. adeoque Per pr. 16. Y R f S -SR = =Rd. Ouaerendum itaque quora po-
  21. teltas exponentis data rationis R, aequatur data quantitari. Ouippe iltius poresta-
  22. tis incex unicare auctus, eAt quaelitus numerus terminorum I =-D. X.
  23. D2. FL; Dacis termino maximo, proerestionis summa, ee numero terminorum;
  24. V, S, F; dacur communis racio. R. F.A enim, ver pr. 90. 5 - R - - 1
  25. que SR = SRd = V R. - V, e V =SRA -SR + Y R, e
  26. R. = R43 2de0.
  27. S-Y R
  28. =RC. Cujus A quationis radix R, est exponens communis rationis quxlirx.
  29. 93. FF; Daris ratione communi, numero terminorum, ee progrecsionis summa;
  30. B, F, S; datur terminus maximus. V. P.C enim, (uE in PrXced.) SRF -. SRd
  31. =VR. =V. RrG SRC =SRd
  32. RC
  33. 94. POrrO; (ut compencio uac,) Datis A, Y, S; datur Y. Nam, per Pr. 78.
  34. Y = R. EI Per Pr. 26 7 = Rd. Ouarendum itaque, quota potestas R cogni.
  35. ta aequatur coenia Rd. ut tabeatur D = F - - 2, adeoque D F L = T.
  36. 35. Idem habetur, A PrO A, V, darentur A, H. Nam habetur R, PCr PP. 79.
  37. EF P uC prius.
  38. 96. Vel A, 7. Nam Babetur R, per pr. 80. et Y, ut prius.
  39. 97. Vel V, H. Nam habetur R, per pr. 8T. _e F, uc prius.
  40. 38. Vet V, X. Nempe R, Der Pr. 82. _ T, ut Prius.
  41. 99. Vel denique I, 7. Nempe R, Per PF. 83. EF T, ue prius.
  42. 200. Datis A, V, Y, datur S. Nam BCF Pr. 17. habetur R = YA Y. ENBO BEC
  43. Pr. 68. Y vav
  44. Ya
  45. =e
  46. = S. AFBL. IC.
  47. TOL. Idem habetur, si, PrO A, V, darentur A, I. Nempe
  48. 25. Nam A) HCV. EE A J u (.
  49. 202. Vet A, L. Nempe a A V y: = B
  50. 203. Vet V, H. Nempe
  51. BC V) H (A.
  52. 204. Vet V, Z. Nempe
  53. VaV
  54. 1d: V) V2
  55. Yd: 1) V2:-
  56. s
  57. N
  58. 2
  59. =5.
  60. Sev. a)B.A
  61. Ya: N) H: - +
  62. = 3. Hal V) V (4
  63. =S. Nam X A = V.
  64. Nam Z) V CA.
  65. 205. Vet

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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. 178. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0198?run=74