Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 47

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: 0.86.

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

The machine reads it as

  1. C
  2. ductarum; Eirein D.
  3. 22. Omnes autem Z V in D; hoc est, critineum CZ AF in
  4. D; hoc est (PeF 10) DP L 2D2 in D; eA, D = P = 2D
  5. Unde (I auFeramus Omnes Z. V in
  6. ∞o hoc eA : D= P = 5De (VF
  7. deinceps ostendetur = 25 d seg.) maresic Z B= P - =+D3 quod
  8. itaque est Tolidum ex Trilineo CL A F Ag. 20. in alcieudines
  9. respectiras 2. Z f9. 9. dusto,
  10. 23. Fluic igirur Tolido, si addatur Colicum ex Bilineo C A v
  11. in easdem respectiras alcieudines due O, nempe ZD (per u
  12. 20;) aEBFCGAEU Z DZ P = 25+ D3 + 312 = Z D2 P- 35 D3, eR
  13. Tolidum ex Trilineo Cv A F fig. 20. in alcicudines Z Z f∞. 9.
  14. respectire ducto; sire ex omnibus Vvf8. 20. in respectiras J. X
  15. fg. 9. Eive ex omnibus Z Y in Q. X fg. 8. respectire.
  16. 24. Juam aurem rationem habet hoc Tolidum (ex omnibue
  17. ZZfg. 9. in V vA9. 20. respectire,) ad Colidum ex semiparabola
  18. F A C (hoc est, omnibus, 2. Z) Ag. 9 in A F f∞. 8. ubique
  19. ducta, hoc eH, ad Z D = P: (HAM DTOPTCF A C 2D, eC CF = 1,
  20. adeoque restangulum AC L= 2D E, erit ea semiparabola
  21. =D2 quippe Z restanguli; quae semiparabola, ducta in F A = 5P,
  22. dac Z D= P aonicudinem solidi, sire prismatis parabolici:) Fam
  23. habet momentum superficiei, in suo licu, quae tic ea Pemiconver-
  24. sione curVa C Z. A f9. 8. circa A F, respectu rectae CF, (hOc
  25. est, factum en semiperipheriis, ipsis Z X proporeionalibus, in
  26. distancias Vv, hoc est Z X, respectire,) ad momentum ejusdem
  27. suxerticiei ex puncto A suspenta, (hoc est, ad Factum ex iildem
  28. Temiperipheriis in distanciam A F ubique.) Ec conseguenter, ea-
  29. dem est ratio distanix ceneri graviratis ejusdem superticiei à
  30. recta F C, ad distanciam F A. Hem pC UC P - 25 D ad P.
  31. 25. Quod aurem omnes Z. V in B, SIC Z DZ P = 5 D, sIC
  32. Dederentim octendetur. Omnes Z V A9. 20. in 4 a, hoc eA
  33. (DTOPTeE C A 2 D) in respestira quadeaca distanciarum C Z)
  34. ad easdem omnes in quadratum C. A; SUHE uE iomentum (re-
  35. spectu rectae CC) Porcionis prismaris in suo lieu, oblique plano
  36. secti, Cuper crilineo C P A F crestae, alcicudinem habencis in
  37. puncto C nullam, ac super A L. recta xqualem LCA_ C A; 20
  38. MOMeH.
  39. Fi8. 10.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 47. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0063?run=74