Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[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. 1012

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: 0.90.

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

The machine reads it as

  1. De Percussione.
  2. SC = sC = OC;) Adeoque ictus magnicudo (per PrOP. 12. hujus 1
  3. t
  4. oropolto, Dex PTO
  5. 8. hujus
  6. ap. XI.
  7. PC; ut prius. Idemque estictus magnicudo in calu
  8. caris percutiealis, proraria ejuldem Fi-
  9. Adeoque et Centrum Viriumu u ussionus. Ouodiptum est Punctum
  10. Percuctiones particular
  11. sura ex Politione; calculo xestimaner.
  12. L DaraLSCN LBEILaCM: LCunE ejus Parces intinicesimae, (secundum longitudinem
  13. aequales,) ut F, T, 2, 2, ec. Series Ai
  14. qualium: P’arunique respectira Cielc
  15. ritates (urpote aquales, propter mo-
  16. um parallelum, ) icem ut 1, 1.
  17. ecc. leries Aqualium: Adeoque et
  18. Idem similirer obeinet quacunque
  19. tic tigura, Graris A B, Parallelo mon
  20. laci: Nempe, Centrum Virium V
  21. idem esse atque Centrum Graritatis F
  22. Surx. Duippe cum Celeritates SInE
  23. series squalium; eadem exit Virium series quae Ponderum: per Schol. Prop. I, 2.
  24. Incellisatur deinde idem Cylindrus scu Prisima
  25. AB, CIPCA AXIS CxEreMUM A POtari. Cujus itaque
  26. Particula (uE prius) Crunt ut Z, 1, E, +, _c. Teu
  27. FP, +P, TP, FP, _c. Peries A qualium. Celerita-
  28. ces autem respectira, (ab A centro Mocus incho-
  29. ando) ut Arcus BB, e huic paralleli, sectorem
  30. B AB complentes; (quippe, propter aequalia Pem-
  31. Pora, Celeritates crunt ur tranlactae Lonsicudines:
  32. DeF PrOP. 23. Cap. F.) hoc est, ut eorum Racii.
  33. seu Distantia ab a; hoc est, ut Rectae Friangu-
  34. lum ABC complentes, (ip (I B C parallelx:) Nempe,
  35. UE Z, 27 3, 4, _c. Teu Z C, 2 Cn 3 Cn 4 C, _c. Peries
  36. Primanorum. Adeoque, propter Pondera invicem
  37. aequalia, Vires icidem erunt uc series Primanorum;
  38. DUITA VE FP C, 2P Ci 3P C, 4PC, ec. Teu uE
  39. eadem recta Priansulum complentes. Oua itaque
  40. Si ad A B lacus Frranguli, tanquam ad Libram.
  41. amlicari intelligantur; quae per Frianguli Centrum gravicaris applicatur VC
  42. recta, designat in AB litra Cenctum A. quilibrii V. FE propterea, Ci similicer in
  43. V secetur A B axis Cylindri leu Prilmatis; eric V Cencrum Virium: Ouippequx
  44. Percuctionis maxime.
  45. Nelligatur AB, Pertica, Cstindrus, Prisma, duc istiutmodi corpus quodpiam:
  46. iC
  47. qualium. Ft propierca, li per mediam Lonsicudinem secetur Axis in V; crit
  48. verinque cancundem Virium, et in diltantus Aqualibus. Adeoque V, Centrum
  49. Tirium; Ceu Percultionis.
  50. Quod quidem non aliter differe à Contro squilibriis (de quo Cap. 3. dictum
  51. cll.) quam quod (sumpro Axe prilmaci pro Libra) momenta, seu Librx Gira-
  52. quae inde resuliane, Momenca seu Vires, erune itidem uE L, L, C, L, dc. Peries A.
  53. ramina, sunc illic (poristimum) nuda Pondera (quanquam nec alia craramina
  54. Sin
  55. ibidem exeludantur,) hic vero Pondera cum Impetu, ex celeritate contracto.
  56. Rectis illis sunc proporrionales.
  57. O12

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. 1012. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:1032?run=74