Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 119

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.

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The machine reads it as

  1. Et HINanSuOS.
  2. 2a B+ B. quadeara ordinarim applicatarum in parabolae crunco
  3. cujus alcirudo D = F C: lacus rectum parabola, D L 2B = pK; OF -
  4. dinatim applicaca intima e minima, B; adeoque alcirudo abscista
  5. 5.
  6. D = p. Siigitur hac ubique, uc YZ = V: a D = a: ordina-
  7. cim-axplicaca in semicirculo, ad V: a D = 2 a B + B2: ordi
  8. natim applicacam in hoc crunco parabolae; (IC A vel F B, ad quar-
  9. Ea quXe IEA9; eM A V aD = 2 a B + B.
  10. a D - a Dux ex hisce quarEIS
  11. COnClatuF Fgura, ea est quam diximus aa C F B parallelooram-
  12. u SC esle, ut est curra semicrcloidis protrectrae contractare
  13. ad C. F circuli genicoris diamerrum; e parres parribus respe-
  14. elire proportionales,
  15. Hoc igicur inrerest incer curvam Crcloidis primariae, e se-
  16. cundarix; quod Faciendum es, Ur ordinacim- applicaca in semi-
  17. circulo; 2d ordinacim- applicacos, illic, in parabola; hic, in para
  18. Colx rrunco: c daca resta; ad quarcas.
  19. Si vero liben currae creloidis secundarix particulas compara-
  20. re, non ad aris C F parces xquales, sed ad equales parres curve
  21. creloidis primariae: dividenda erie C Z A curva in partes quor-
  22. libet aquales inpunctis 2; adeoque C F inxoualicer in punetis
  23. Y; Puca (sumpris p arichmerice. proporrionalibus, quarum ma-
  24. Xima P = D,) CY = (; FC YY, uc 2, 3, 5, 8c. arichine.
  25. cice proporrionales, qux omnes xouene iplam C F, dicantur
  26. autem y. Potiisigitur ubicue D -
  27. Dd PFOA =D = d = FY;
  28. e y, Pro A; (& congrua reductione facta:) PrO AV
  29. prodibie L BV:
  30. ma cum A V
  31. 2
  32. M2
  33. L
  34. D2 = 2 BD
  35. 772
  36. aD a
  37. B2: (ejusdem DlunC FOF-
  38. Ra = a R: qua quadtratis Fllipseos parricutns
  39. carumve subcensas, agualibus semianis longioris parcibus respon-
  40. dentes,

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 119. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0135?run=74