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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. 95

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.

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

The machine reads it as

  1. Et HINaTVOUOSo
  2. legeucsingulae de rectae, sint A dP parabolis proportionales;
  3. adeoqueur d N d, live N d3. Ouam igieur curram, ex PAEa-
  4. boloidum genere ese constat; quam Semicubicalem axpellemus:
  5. ntpore cujus Ordinatim-applICAIX DIAMCEEOrUI, SI PONaEuF A D
  6. diamerer; vel, Diametri Ordinatim-opplicacarum, s Ponarur dia-
  7. MCCUF A a; Tune in rarione sub duplicata triplicata.
  8. Cum igirur sine d e ad invicem, uc d V d; BEquC DF = D P
  9. =V D L: Fruncde L= VaL. Nempe, uc D VDaddN d: ACVDF
  10. 2d = YdL.
  11. Cumque sint de, parabolis A dp proporcionales; CrUNE E
  12. difterentie differentus proportionales: Adeoque differentia Fc,
  13. cum inter se, cum ad inceoras d c; casdem habebune raTiOneS,
  14. quas parabolarum differentix, cum incer se, cuma ad suas Parabo-
  15. laS: Nempe illic, ut V d ad V d; hic, uc Aad 3 d. Adeoque
  16. FF.
  17. YDE; (nempe uE = D, ad A, sC DF. = V D L, 2d
  18. ZD VDEL FF:) _FCF
  19. 3=
  20. pV dL. Ouibus igIEUE E PO-
  21. nanEuE aequales dc erit A D C. parabola, cujus latus rectum
  22. D A L
  23. 4 D.: quod nempe in diamerros d ductum, quadeatis ordi
  24. natim applicatarum de aequabieur.
  25. Farundem vero Le quadeata d d L A2
  26. 4D= 3 quadratis d d hoc est
  27. A addica, extibene rectarum ce quadeata A= + 2 d L A
  28. Ouorum quide quadTaEORUM AUOMEHEA SuprA A cum sine ip(IB
  29. a proportionalia; s rectis e e Ponantur aequales db, Crit ABBD
  30. eruncus parabola, cujus latus rectum est idem
  31. d
  32. 1
  33. 40a Ordin-
  34. cim- applicata minima d b i 2; adeoque alcicudo abscissa A V

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 95. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0111?run=74