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Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 67r

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: 0.77.

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

The machine reads it as

  1. TM
  2. bi
  3. ero
  4. A2A
  5. H
  6. e
  7. sat
  8. D
  9. M
  10. lum
  11. imper
  12. ul
  13. long
  14. tri.
  15. inso
  16. 3
  17. V
  18. citati
  19. 32
  20. longs
  21. 1A2
  22. st
  23. dem
  24. Sert. I1. Cap. 4. De Motasimul aequid. et unif.
  25. tempora FE et MD essent aequalia, utique forent longitudines
  26. 1A2 A et sB2B in ratione velocitatum V et L (per prop. 4. huc)
  27. adeoque in ratione copposita temporum (aequalium) et velocitatum;
  28. Sm tempora quibus longitudines 1A2A et 1B2B sunt percura
  29. is
  30. s
  31. sint maequalia 3Z et MP, sumatur in majore MP pars minori
  32. il
  33. e
  34. aequalis MS, quo (pen consectan. 3. def. tou motus) percurretur pars
  35. etME,
  36. longitudinis 133B, nempe 1B2B, Ob tompora ae qualia erit lon-
  37. Bz
  38. gltado percurra A2 A ad longitudinem per cursam 1B2B ut velo-
  39. lpa
  40. citas V ad velocitatem L (per prop. 4 hic). Eursus quia motus ipsu
  41. 3B ett uniformis, eadem retinetur velocitat,
  42. 2
  43. (per prop. 2. suc) et in uniformiter et aequidittribute motis, quorum
  44. eadem ett velocitas, nempe in B per currente longitudinum
  45. 1B2B, et n B pericurrente longitudinum 1B3B, longitudinet
  46. percurtae 1B2B et 1B3B sunt ut tempora impenta MS (tu TE
  47. et MD; (per prop. praeced.)
  48. S.
  49. Itaque jungendo, quia 1A 2 A ad 1B-
  50. Si
  51. p
  52. 2B ut H ad L, et 1B2B ad 1B 3B ut TE ad MS, erit 1A2A
  53. ad 1833B im ratione composita V. ad L et TE ad MP. Quod affir-
  54. mabatum.
  55. in numeris sit velocitas L dupla velocitatis V, et tempus
  56. Z
  57. Ma triplum temporis F3, erit longitado 133sd velocitate
  58. il
  59. Ltempore Mp percursa ad longitudinem ut 2 A velocitate V
  60. tempores SE percursam in ratione composita 3 ad l et 2 ad1,
  61. idest in ratione 6 ad l, sive ut factum ex tempore m velou-
  62. tatem, seu svelocitas iprius B sit dupla et tempus triplum,
  63. respectu velocitatis et temporis ipsius B, erit ipsius Be percur-
  64. sa longitudo bis tripla seu ter dupla, hoc est sextupla longitu
  65. dnis ab A percursae.
  66. Crop. 7.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 67r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0135?run=74