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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. 339

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. C+OP
  2. XXXV
  3. O N I C L 5.
  4. PROP. XXXV.
  5. Corollaria.
  6. D Aet ex dictis: Cum sit h = 1 d + - de: FX horum in LIyPer
  7. b
  8. Bola quatuor, Diametro transversa, Diametro intercepta. Latere-
  9. Recto, e Ordinatim applicata; Dacis cribus quibulris, etiam reliquum
  10. (maenicudine) dari. Nempe (disponendo et resolrendo aequatio-
  11. neS) exitu
  12. In Trper.
  13. d d
  14. 1
  15. Ordinatim applicata, h = V: 2d + - d2: = V -
  16. bola, Eatus rectum, I =
  17. Ed + d.
  18. Diameter trancrerta, t= H - d
  19. d + d2
  20. Diameter. intercepta, d = Y: 8 +, b: - ; 1.
  21. Adeoque: Diametrorum transversae ex intercepta a0oregatum, + F d
  22. =V: 3V +, h: + 31.
  23. Dictantia puncti applicationis d Centro, c = 1: : c + = v
  24. Patet etiam; SE Diameter-Frantrersa ad interceptam; sic ese Bi-
  25. norum Rectangulorum ea qua diametris interceptis proportionalia, ad
  26. Rectansula earum quacratis proporcionalia. Nempe, t. d: : ld.= d.
  27. stem; Ot Diameter transrersa ad Latus rectum; ita quadrata dia-
  28. metrorum interceptarum ad Rectansula quacratis illis proporrionalia.
  29. Nempe F. 1: : d2. = d2.
  30. Item; VE Diameter traulrerla, ad interceptam; ita utriusque 20-
  31. Sregatum, ad quartam; quae, ducta in Latus rectum, Rectanoulum
  32. eHicit aequale Ouadrato Ordlinatim applicata. Nempe t. d:: t + d.
  33. + + d
  34. +d + d +d + a
  35. e
  36. Et
  37. 1 = B = 1d F - a2
  38. Adeoque; SE Diameter- transverla, ad L atus- rectum; AC R ect anon-
  39. lum sub Diametro intercepta et aggresato diametrorum tranlverla et
  40. incerceptae, ad quadratum Ordinarim applicata. Nempet. l:: + d + d.
  41. Fd F a
  42. 1 =h = 1d + - d.
  43. Vet, OE Rectangulum Diametro intercepta, et aggregato Diame.
  44. trorum eranversae ex interceptae comprehientum, ad quadratum Or-
  45. dinatim applicatae: sic esse Diametrum trantrerlam ad Lacus- Rectum.
  46. (Onde. Arperbola Latus Rectum commode reperitur.) Nempe,
  47. Ea = d. B: : t. 1 =
  48. 2d + 4
  49. inde

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. 339. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0359?run=74