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. 629

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: 0.87.

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

The machine reads it as

  1. (III
  2. 1
  3. 1
  4. Er
  5. libram fivum; prout allius elevatur, ila plus penderat, seu majori in pondere
  6. um supra libram; minori. Ouod, inspectis fisuris, Ctarim pa-
  7. cebit. Ouippe distanciae xstimandae sunc, non secundum lonsicudines C
  8. B
  9. P
  10. aequipollet: At
  11. sed C. D, Cid: ut ex 4 hujus patebit.
  12. similicer positos, deseribant B, F, puncta; eadem semper uiriulque erit obliquitas
  13. mots. Adeoque e eadem ratio momencorum; pex primam partem hujus. AF
  14. que omnino perinde etl, arque A Libra X P. (iptI C. B parallela) cirea centrum _
  15. texretur.
  16. IV. AC vero, A LC Tupra libram, nec intra, sed a latere, astirum tc Pondus F;
  17. (incellige, ita ut rorata libra AL B CHICa aselI XCS, SinE ubique C Z, BL, In F18. 73
  18. eodem plano: ) eric eadem ubique momentorum ratio, ponderum in A ∞ L, HOI
  19. minus quam in A _ B, potitorum. Cum enim parallelos arcus, aequales similes de
  20. SCHOFTV
  21. Eque hujus ope, quae uccunque, ad rarias circa eundem Axem libras (con
  22. nexaS tamen) in rariis Planis applicantur Pondera (pura in parallelis pla
  23. nis Perpendicularibus Der AB, XF, _c.) ad corum unum reducuntur. Pexinde
  24. siguidem Ponderat P. Pondus, ubiciGue I BP. recta intirica tuerie, acque II
  25. eset in ipso B puncto. Ut jam ostentum cst.
  26. Suxe autem ita ad unum Planum reducuntur Poullera; cadem, pex 4 trujus,
  27. ad unam ejusdem rectam quamlibet (utcunque inHd, Cuprare fuerint) redueun
  28. CuX. Fec liquidem ponderanu, ubicunqile Luct in eodem Lerpendiculo (lire
  29. rerera, lire huc uc modo dictum est, rclua) alque li in ipla quam quis relie
  30. iltius Plans lecta cMent. Or ibidem probatiu crat.
  31. Duxque ita ac una blam reducta tunt policeta, Caltemt ee al unum iplius
  32. Punctum, AquilibEI Centrunu MOX reduCT, Det 20. AujuS. Quippe ita per
  33. inde Ponderane tumul omnia, acque I ex illo pulcto dependerent. Ot ibidem
  34. probabieme.
  35. men alia lic directio ririum in A c B acbcalcu, rallabtus, pro raria Librae
  36. potirione, momentorum incer se ratio; atque ita quidem ut in proxolitione est
  37. altirmarum. Esto enim, rerbi cracia AB librae susum, in liu Eoriconcali po.
  38. V. L011O, Manente sugo recto AB, e cencro motus in ipta Libra, C: St la- F. 1B. 4
  39. Cicum; ejusque puncto B applicatum grare; adeoque virium Directio BL de H0
  40. rixontem perpendicularis: Puncto autem A, vis alia quaeris (puca, huntaltan,
  41. adhibita, lecundum directionem AF (ipsi B P minime paralletam;) cui quidet
  42. AF Parallela L _, peripheriam puncto A (circa C. xotando) deseripCal lalxal
  43. in Li; (intra rel supra punctum A, prout conciserit) Manilestum urique el
  44. k HK
  45. moto

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. 629. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0649?run=74