Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 236

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.

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

The machine reads it as

  1. e
  2. Et simili demonstratione, in Paraboloeidibus reliquis, adhibita; reverietur.
  3. In Parabol. 1 Quadtratic. 1 Cabic. I Biquadrat. 1 Surdesol.
  4. P0. D0::
  5. AP. AD: : I
  6. F. 2
  7. F. 2X2
  8. +.
  9. 2. 3
  10. F. VC4 2. V995
  11. F. 4VC4;
  12. F. 5V9q
  13. ICC.
  14. AP. AC: : (2 - 3 22. 3225- 313. 2V3(2 2Vc4. ZVC4 2- 3 1995. 2 V995
  15. Acque tactenus acucistime de Tubrilissime procedie Dominationis Vestrae demon-
  16. Stratio. Oua quidem haec duo evincis; Tum rectam aX, quae inscriptam AO
  17. bisecar, diametro occurrere in puncto C; (quod quidem aliud atque alind clt
  18. AC:: F = =V3. V3.) Tum, si omnino ulla sic recta quae ad verricem a dia-
  19. meter esse pollit, rectam a C eam esse, ut qua inseriptam AO BisecaY
  20. Ac incerim, cum ad Diametri rationem spectet, non modo ut unam aliquam
  21. ex inscripeis bilecet, sed et omnes cidem parallelas: quaerendum insuver restat,
  22. an de hoc faciat eadem AC. recta. Fieri enim ommino potest, non obstante jom
  23. allata demonstratione, uc nulla omnino recta id faciat, led linea porius aliquo.
  24. modo incurrata.
  25. Hluic itagne ut Patisfacias serupulo, adeoque totum absolras negorium; ad.
  26. juncta certia demonstrarione, oltendis; non modo non rectam illam a C, sed nec
  27. ullam quidem rectam, imo nec (uti videtur) regularem aliquam curram, dia-
  28. mecri hujulmodi vices supplere poste. Nempe hoc modo.
  29. In Paraboloeide Cubicali (erecta)
  30. Fst AP. PL.. L. b.
  31. Adeoque PR. AR:: b. V: b + +
  32. Ft, quia PR. P a :: 2. 3:: b. 3b.
  33. Frit AP. P a
  34. 38.
  35. Ft, quia P R. AR:: BP (= P a). BC: : B. V: B- 2: : 3b. 3V: B2+ 2.
  36. Erit AP. BC:: F. 3V: B2 + 1.
  37. FF Gua P R. Pa :: T. 3.
  38. Frit P a . l.: 3. 2.
  39. Fit B c. a:. . 2.. 3. I.
  40. fireo, qua B e. d.. L8. 4 d. : R d. 34 = L a - p1.
  41. Fit P a. p ∞:: F. ZV 3. C In derotonsit. Pt abbe.
  42. deoque
  43. 1
  44. l
  45. e
  46. bV
  47. 1et

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. 236. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0256?run=74