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. 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: 0.85.

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

The machine reads it as

  1. Aes A
  2. e
  3. C
  4. Curvarum EoDoroS,
  5. hoc est, ut omnes v L, ad omnes V: L + = P
  6. hoc eAt, ut Onnes L, ad omnes V: L F ZpL: SIC AT recta,
  7. ad curvam AO. HOC est, ue parallelogrammum cujis lacicudo
  8. L alcicudo P= A T: ad rruncum parabolae aequealeumr, cujus
  9. lacuS rectum Z L, O:dinacim applicaca minima L, adeoque al-
  10. ticudo abscissa Z L. Oux quidem cum supra tendiris convenire,
  11. qui examinarerie, deprehendec. (Nocandum inceim L quohic
  12. delionitur lacus rectum paraboloidis demicubicalis, illic detio-
  13. nari lacus rectum Parabole, unde Paraholoides illa originem du-
  14. CIC.) Aeque hinc eriam conoidis suverticies simili modo collioi-
  15. EUE, acque illic; uc nOn sIE ODUS redetere.
  16. Idem similicer in aliis non paucis Paraboloidum generi
  17. bus obcinebitur. Verbi gratia. Cunco ordinitim-opplicatae d0
  18. = A C, in diamCEEOruIM Patione subquinmplicatae quadruplicata.
  19. Fc proprerer d F ad d A, uE 5 ad 4: e cS adCA, uC 4 dd 5.
  20. Sumpris AC, AE, drichmetice prozorcionalibus, quae dicaneur
  21. p. earumque communis excessus A=a CF, diameter d A = d
  22. +
  23. = pN+ P.
  24. Fric cangenSOS = V: 35p = + p V: = p
  25. 15 + Y B: TLEM, UE CS = 5 P, ad 05: sic bO= EE = A, ad
  26. Oc= AV: 2+ EEY G. ErBO, ut omnes A, ad omnes AV: 2
  27. 4+
  28. 3V P: hoc est, uc coridem L, ad coridem V: L2 + 25F V
  29. pL: (C AT recta, ad curramm AO. Nempe, uE Parallelogram-
  30. um, ad AgurX eruncum, cujus ordinLIM- apPlICAEX SINE V: P
  31. + 23 F VP L. Similirer: Si essene ordinacim applicatae in diz
  32. merrorum ratione sub sepruplicarae sextuplicata, auc subnoncuplicat
  33. octuplicata, 5c. in intinitum: Juas Onnes Pariter ev BwiO= Co5
  34. capaces recte osserit Heuracius. (Elxe autem omnes, à Pacaboloide
  35. Piguadraricali, Dicubicalis Trigundearicali, carerisque guarum
  36. Poreltares a numero pari denominantur, eodem planemode de-
  37. TIVINTUE,
  38. Paraboloi-
  39. dum alia
  40. 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/85138403X:0128?run=74