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. 597

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: 0.84.

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

The machine reads it as

  1. atio
  2. ACCet
  3. 3u8V
  4. PrOP. V.
  5. Et Motuum Declivitates.
  6. tudines sint xequales; in ratione Conderum: Si Pondera e Altitudi-
  7. nes, vel utraque sinc aqualia, vel snt Recipioce proporcionalia;
  8. Aguipollent.
  9. FE univertalites, Virium Mocricium quarumcungue Proprestis Re.
  10. sressulre, pollent inratione, quae ex ratione Virium, et Proorestuum
  11. Rexrestuumre secunclum lineani Directionis Virium aectimatorum,
  12. componitur.
  13. tue silse
  14. Crarium Descensus, invicem comparati, in ea ratione pollent, qua
  15. ex Ponderum ratione et ratione Alcicudinum Delcentuum compon
  16. nitur. Acque ACcensus similiter.
  17. Adeoque; Si Pondera sint aequalia; inratione Altitudinum: Si AIEi-
  18. LD. C: nt D. nC
  19. PD. Ci: mnt D. nnCI.
  20. PD. C:: meD. mCe
  21. neD. C: n D. C5. sit B. L) C s t CI1B
  22. 1V. V. neD. nC: meD. me
  23. yp B: Ia EBL
  24. AnED. mncs: PD. C
  25. locu eI
  26. 8.
  27. DOc; Si Grave ut P, pet D descendens, valet ut Ce; etiam alterum P (exeteris F18,. 32,
  28. paribus) cancundem descendens, valebit uc C alcerum; certium, ur cerrium, (3c. 33, 34
  29. Adeoque nP, uEn C; in ratione Ponderum. Per 7 Cap. F.
  30. Trem; Si Ponderis uE P, descen suS per D, valet ut C: ejuldem Ponderis l ex-
  31. ceris paribus) per D alterum descensus, tantundem ralebit; adeoque ut alterum
  32. C: per tercium, ut cercium, ec. AdeOquE Per MD, u m C; in ratione Alcicudi.
  33. NUM. Per 7 Cap. T.
  34. Si itague Pondus P, per D descendens, ralet ut CF: etiam n P, per D detcen
  35. dens, ralebit uen C: Adeoque, per mD delcendens, ue mnCi; (ut ostensum
  36. est:) Hoc est; in ratione ex Ponderum ec Alcicudinum racionibus compotia,
  37. (Der Z Cap. F. ) Ouod erat probandum.
  38. Ouae quidem rationes si sint Reciprocae; quae ex his componitur, squalicas est.
  39. DeF 47 6, Cap. F
  40. Simuster de Ascensu judicassdum.
  41. E.E in alia quaris VMorice, similiter octendetur
  42. dC LLL. L I.
  43. et similiter demonstrari, acque in capite praecedente tactum ct, in PTOP. 13
  44. 24u 25, 16. iem, 17, 26, 29, 20. irem, 22, 23, 24,25. Quum aurem illud letiet
  45. EFF
  46. icerumque,
  47. Poret quidem haec, ec subseguentium Propotitionum aliquor in plures distratiis

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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. 597. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0617?run=74