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. 662

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. De Comro avitatis.
  2. LROP. X
  3. Eit Tuaequalis, rel, Inaequalium Ponderum; proportionaliter.
  4. SEguitT ex 17 Cap. 3. Propiex 26 trujus.
  5. P RO P. XZ
  6. Datis Ponderibus guovel; datilque vel AXe motus (aut pervendie
  7. lari per hunc Plano) et Conderum Centris graritatis; vel horumZ
  8. Perpendiculari per ARC Plano distantiis ad datas partes: Inresti-
  9. sare, quanta sit cum lingulorum cum simul omnium Ponderatio; et
  10. 2d quas patces: cum clenique quantum grarant ipsum quo sustinen-
  11. +40.
  12. F0D
  13. ADl. F8. 13C2. 1LC:: f T2DP. + 126. F0DP +0C: -6DP. - 665: -12DP.-- 226
  14. Scenditur ex 18 Cap. 3. proprer 16 hujus.
  15. Signum F, innuit distanciam a Perpendiculari
  16. per axem Plano, Dextrorlum: Signum -, Siniltrortum.
  17. Pondera rero eodem signo. L nocantur omnia, quia in-
  18. celliguntur omnia, Deprimentia. Si vero eslet Ponderum
  19. aliud Deprimens, aliud Flerans: illud signo F, hoc
  20. signo - nocari par etter: Et mulciplicationum leges in-
  21. Cuper eslent obserranda.
  22. Fijusdem rel aequalium Pondetu, Centri Graritaris ad perpendicu.
  23. laris Plani per Axem mocus Appropinquatio, aut inde Flonsatio.
  24. l
  25. 35
  26. P. I
  27. Aqualis, (sive Centrum Plano admoreri intellisatur, sivo Planum
  28. Centro, vel contra;) aequaliter auget, minuiere Ponderationem.
  29. tur Axem.
  30. Datis Ponderibus quorlibet (ret summa Ponderum) dataque corum
  31. limul omnium Ponderatione ad datas partes, respeCtI AxiS exPOsiti
  32. (rel expolici per axem Perpendicularis Plani:) Ponderationem Au-
  33. Sere vel Minuere data quantitate; sire manente eodem pex AXem
  34. plano perpendiculari; sire manencibus (in iisdem parallelis Planis)
  35. Ponderum ceneris gravitatis.
  36. D SIendituT Ex 19 Cap. 3. PrOPEeT 18 hujus.
  37. Nempe: Mavente AXC, (Falcem similiter ad horirontem inelinaro; in eo.
  38. dem perpendiculari plano,) Amorendo vel Admorendo ponderum Centra Gra-
  39. vitatis.
  40. Velu manencibus ur prins (Falcem in iisdem parallelis Planis) Ceneris Grarica:
  41. tis; (vel communi timul omnium CenErO;) Amovendo vel Admorendo AXem.
  42. Timiliter inclinatum, in parallelo Plano. Fanco quidem interrallo, quanto expo-
  43. Tica Pondera (rel summa ponderum) cancundem ponderarent, quancum est vel Ad.
  44. dendum vel Auterendum ponderationi expoticum.
  45. R
  46. PROP. XXIV

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. 662. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0682?run=74