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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. 125

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: 0.76.

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

The machine reads it as

  1. Cap. XXIII. CL. B15.
  2. t
  3. LDRDN =8 in E = S9uV 9 =NL. quMD4.
  4. VS
  5. Ubi nocandum est S _ V incerprecandum clte nunc per S -V, nunc per V - 5,
  6. prouc S vel V major fuerit, (hoc clt prout D vel incra vel extra puneta L, N,
  7. tuerie altignarum,) e proinde Squ Vq illic erit S9 - Vq hic V9- 59. OF
  8. mulciplicando patebit.
  9. 5 - V
  10. 59 + 51
  11. ML. q - DNC
  12. V9+ VS
  13. = ∞
  14. NDg = NL 9.
  15. 7C2. Si recta (Z.) secetur mcunque (pura, in A, P:) quadrata torius (Z. 9)
  16. unius ex seementis (Dura A 9) simul sumpta, (Z. 9 + A 9,) aequanur rectansulo
  17. bis comprehenso a rota e aucloscemento (2Z. A) una cum quadrato reliqui seementr
  18. =2L. P. Y X. Dc limilicer in numeris, quod experienci patebit.
  19. 2.
  20. E
  21. 29-
  22. + A9
  23. +F
  24. A F F
  25. A + F = Z
  26. EA 2 A
  27. A9 F ZAE F E4 2A9 F 2AF = 2ZA
  28. + A9
  29. FEg + E9
  30. 29 = A9 = 219. f 2AE L E 9 = 2A9 + ZAF + E9 = 2ZA + FG
  31. L
  32. E4
  33. A Y F = Z
  34. X2V. X2 F.
  35. A9 + 2AL. F EQ 2AF f 2(9 = 2ZF
  36. + A9
  37. + A9
  38. C4FL4 = A9 F 2AC +219 =A9+ 2AC F 2F9 = 271. + A9
  39. 8C2. Si recta (Z.) Secetur utcunque (in A, F.,) rectaneulum quater compre-
  40. Bensum a tota e uno ex leementis (Puca 4 Z. A) una cum quadrato reliqui seementi
  41. (F9) equatur quadrato compositae a tota e praedicto seemento (O: Z + A.) H0C
  42. est, Si Z = A f F; erit 4 L A F F 9 = G: Z F A: = Z 9 + 2L A + A9 FF
  43. (eadem ratione) 4Z F F A9 = O: Z. F F. Ec in numeris pariter.
  44. Z = A f. F.
  45. X 4 A
  46. X4 A
  47. 4Z. A = 4 A9 + 4 A F
  48. +L9
  49. P. 9
  50. 2 A f F = Z L A
  51. 2 A F F =- Z L A
  52. +A9 F 2AF
  53. F 2AF + F. 9
  54. +EA + Eg = 4d9. f 4AF F E9 = 4 A9 f 4AF. + C9 =9: Z. + A.
  55. Z. = A f F.
  56. A F 2F, = 7 + F
  57. A 2F = Z L F
  58. A9 F 2AF
  59. + 2AF. F gF9
  60. (L. 9.) Hloc est, S Z = A + C, CrILL9 = A9 = 2 Z A + F. 9; IIEM L9 + FC
  61. L
  62. 4Z F. = 4AL. 4C9
  63. +14 + A9
  64. A9 + 4C= a+ 4aC F 419 = A9 F 4AL. f AF9 = 9: Z + F.
  65. DC2. Si recta (Z.) secetur rum in segmenta aequalia (S, S,) rum inaequalia
  66. A = S ] V, F =S--Y;) quadrata inaequalium seementorum (A g + V. 9) sunt
  67. dupla quadratorume dimidia e e recta inter puncta sectionum, (259 = 2 V 4.)
  68. HIOC

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. 125. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0145?run=74