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Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 38v

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: 0.93.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 39r); this page is its left half.

The machine reads it as

  1. gravitationum
  2. proportio rectarum
  3. Nec refert qualis sit lex descensuum, seu (TC 1A, 2C2A,
  4. qua velocitatem descensus repraesentant, quae qui ppecum
  5. mobile in majore minoreq a centro distantia plus minusque
  6. attrahi impelli, impellive versus centrum possit. Nam
  7. ipsae 1C1A nondum ingressa sunt ratiorinationem nostram
  8. 2C2X
  9. ex otu autem composito ex compositis autem directionibus
  10. centrum et, es C circa contrum ero
  11. et 12ex motu circulari circa centrum) ortur directio
  12. rectilineo
  13. tCeA ver sulsta
  14. motus in orbita proposita, seu directio mobilis 1C2 C. in orb
  15. ee similiter ex directionibus compositis 26 2C2A, et 2A3C
  16. Hinc si orbita sit circularis
  17. oritur directio 1C2C.
  18. descensus erit seu motus versus centrum erit nullus.
  19. Quodisi orbita sit alterius naturae, necesse est medium
  20. deferens in quo mobile natare divititur, esse fluidum
  21. seu et cum et deferri intelligitur esse fluidum, seu
  22. vel saltem lubique in annulos circulares concentricos innumeros
  23. mobile
  24. um igitur Replerus admirabilem illam
  25. idque perinde est ac
  26. legem planetarii motus invenerit, ut per posteriorum
  27. supp
  28. obsurva Tu chonicis ac propriis observationibus Lstructam
  29. et posterorum studio comprobatam, quod scilicet
  30. altero umbilico est sol, radii autem a sole educti
  31. ad loca planetae, ab scindant areas temporibus, quibus
  32. ab arcus intercepti sunt decursi proportionales; hinc
  33. malanum
  34. intelligi potest universum oibem planetarium
  35. ferri circa solem (forte ob ipsum, solis motum circa
  36. sut
  37. proprium centrum, fluidum orbis magnus sicum deferens
  38. sotem et planetas nostri solis comprehendens moveri
  39. circa solem, forte ob ipsum motum solis circa
  40. proprium centrum, quemad modumglobo aliquo
  41. aqua circaaxem horifonti
  42. vel eyliuro bido:
  43. in ave circa ademi in
  44. uod fortasse fit Peireumagitur, rem propiora citius remoriora tardius
  45. lalaren
  46. partes circumaguntur, propiora centro remotius, remotiora
  47. tardius simulque et festucae ix aqu te
  48. posito ipso
  49. vicinitatum seu
  50. in ratiore reciproca–
  51. distantiarun ida
  52. natantes.
  53. virtutis, vel similis uigeunque alterius idem efficientis
  54. vi gravitatis aut magneticae aliqua atfractione, recta
  55. vintatibus
  56. ipse autem corpota planetasve
  57. Hoc
  58. diversis motibus agitatos divisum, quia scilicet, ceteritate
  59. semper abia atque alii alia secum abripiunt. Ad
  60. Fu
  61. as planetae feruntur in orbita Elliptica, in cujus
  62. in hypotheseos modum
  63. eo celerius quo propis
  64. est soli; in ratione
  65. e
  66. forta
  67. ex moni
  68. + et quidem fostosse

Cite

Leibniz-Handschriften zur Mathematik LH 35, 10, 7, fol. 38v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068160:0076?run=74