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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. 112

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: 0.88.

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

The machine reads it as

  1. HeS A
  2. Curvarum EoDoroE,
  3. hoc est, ut omnes V L, ad omnes V: L +Z P.
  4. hoc elt, ut omnes L, ad omnes V: L + Z p L: SC AT recta,
  5. ad curram A O. HIOC eHF, uc parallelogrammum cujus lacicudo
  6. L, alcicudo P = A T: ad eruncum parabola aeguealEuNL, cujus
  7. latus rectum Z L, ordinacim applicaca minima L, adeoque al-
  8. ricudo abSciCa = L. Oux quidem cum supea tradiris convenire,
  9. qu examinverie, deprehender. (Nocandum interim L ouohie
  10. delionitur lacus rectum paraboloidis semicubicalis, illic detig-
  11. niri lacus rectum Parabolx, unde Paraboloides illa originem du-
  12. cic.) Acque hinc etiam conoidis superticies simili modo colligi
  13. TUE, aEque ilIIC; VE HON GIE ODUS FCDCTCIC.
  14. Idem similicer in aliis non paucis Paraboloidum generi-
  15. bus obtinebitur. Verbi gracia. Sunco ordinacim- applicatxe do
  16. = AC, in diameErOrum eatiOne subquinmplicata quadruplicaia.
  17. EE propcerea dF ad d A, uC 5 ad 4: _ cS adE A, uC 4 ad 5.
  18. Sumpris AC, AC, arichmetice prozortionalibus, quae dicantur
  19. P, Edtumque communis excestus A= CE, diaeter d A = d
  20. +
  21. = pV+ P, EriE CanG CnSO5 = V: 15 p + p VZ: = pV:
  22. 25 + Y E: TTEM, VE ES = 5 P, ad 05: sIc bO =EE = A, ad
  23. Oc= AV: Y+ 23V L. ErBO, ut omnes A, ad omnes AV: Y
  24. ao Y F: hoc est, uc toridem L, ad coridem V: L~ + 25F v
  25. PZ: SIC A T recta, ad curram A O. Nempe, ut Parallelogram-
  26. mum, ad figurx eruncum, cujus ordinucim- applicatx sInE V: L2
  27. + 22 F VP L. Similirer: Si esene ordinatim applicatae in dii-
  28. metrorum ratione sub sepemplicatae sextaplicata, aut subnoncuplicarae
  29. octuplicara, 55c. in intinitum: Duas omnes pariter evduio: cos
  30. capaces recte asserie Fleuratius. (Ex aucem omnes, a Paraboloide
  31. Diguadracicali, Bicubicali, Friquadraricali, CxFCrI Sque GUATM
  32. Poreltates a numero pari denorimnur, eodem plune mode de-
  33. FIranEUI,
  34. Paraholoi-
  35. dum alia
  36. rum Curvae

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 112. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0132?run=74