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Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 58r

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: 0.78.

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

The machine reads it as

  1. t
  2. Sect. II. Cap. 1. De Mosv
  3. r DesiexAVM vel Vessigirn Morrs est locus com
  4. munis omnium et proprius solorum mobilis locorum, m
  5. quibus durante motus tempore fuit; locorum inquam con
  6. gruentium seu Ves sigroxvm MosiL Is.
  7. Loers autem PRoseirs ett, qui et alis communis non est
  8. aliis, inquam, qua nempe punitum habeant, quod in nullo sit
  9. mobilis loco. Seu Locus proprius veltigiorum seu locorum mo-
  10. biles est, qui nullum punctum continet; quod non in aliquem ex
  11. +
  12. locis mobilis eadat.
  13. Ut si (Fig. 5.) rectangulum punctum A in recta 1A2 A3A
  14. vel motum transferatur, ea 1A per 2 A in 3A, via erit recta
  15. 2
  16. 1A2A3A; vel si recta AD mobilis in recta quiescente. VX mota
  17. trantferatur, ut ex 1A1 D per 2A1D m 3A3D, vra erit recta 1A3D.
  18. Vel si recta mobilis A∞, aut etiam rectangulum AB CD intra
  19. duas rectas 1A1D, 1B1C, continuatas in plano transferatur,
  20. recta quidem ea 1A L B per 2 A 2B m 3A38, rectangulum vero
  21. ea 1A, B1 C+ D. per 2 A2B2 C2D n 343B3C5D, via recta
  22. AB, erit rectangulum 1A1B3 A3B, et via rectanguli ABCD
  23. erit rectangulum 1A1B3C3D; Vertigium vero aliquod rectae
  24. erit 2A2B; et rectanguli vertigium 2 A2B2C 2 D. Ubita
  25. men discrimen insigno observari debet, quod interdum via
  26. mobili homogenea est, intordum secus. Sic recta LA2A3 A pun-
  27. cto A, et rectangulum 1 A1B2A3B rectae AB homogeneum non
  28. est; sed recta 1A3D rectae AD, et rectangulum IAIB3C3D
  29. rectangulo ABCD homogoneam est.
  30. Nimirum generaliter (Fiig. 6.) omnis puncti F, via
  31. ett linea Ff. Linea autem via tunc. demure et superfi-
  32. cies, si puncta ejus durante motu sibi non suec edant continue;
  33. Sic
  34. M
  35. M
  36. ho-
  37. S
  38. 1C
  39. eon
  40. t
  41. est-
  42. em
  43. et
  44. d
  45. et
  46. e-
  47. nes
  48. e-
  49. Ma
  50. u
  51. nen
  52. Ho-
  53. Y

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 58r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0117?run=74