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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 35r

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: 0.75.

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

The machine reads it as

  1. E+
  2. 2
  3. vc
  4. tt
  5. i
  6. .=n
  7. e
  8. 6
  9. Dato centro gravitatis
  10. figurae, datur recta lineam
  11. ceatrorum gravitatis tangens
  12. Haec ergo linea d
  13. itaque lineacentiorum gravilatis, habet ad egregum
  14. ut statim detur et tangens ejus
  15. Modus singularis investio
  16. gandi centrum gravitatis
  17. figurae. Pebatat et hinc
  18. ducta notabilis proprie
  19. s
  20. ponatur figura ABC
  21. divisa in parallelo volangulu
  22. quorum centra sint 12, 3,4, et
  23. jungantur ipsae tet per
  24. Jangatur. 12 et secetur in 11I ita
  25. ut H sit centium gravitatis. jungati
  26. rursus H. 3. et duorum rectangalum
  27. 1 et 2. jungatur II. 3, et
  28. secetur secetur in 12, ita centro gravitatis trim rectangulorum l. 2.3.
  29. Jangatur, 12.4 et secetur in B3, ut B sit centrum gravitatis qualuor
  30. rectangulorum 1. 2. 3. 4. qu quod scilicet patet semper fieri modo
  31. fiat verbi gratia 12. 13 ad 4. 13, ut ae summa rctangulorum 1. 2. 3 ad
  32. Hinc jam sequitur Theorema mirabile. sit anei
  33. ea fedtangulum 4. et ila pOVIo.
  34. cF iquia Trilineae AEF A centram gravitatis 12, et
  35. in vasi ejus EF sumatur medium punctum ( et juncta 12.G
  36. recta, tanget lineam centrorum gravitatis segmentorum triline,
  37. Nam a G a 4 assius nabiliter non difert
  38. et EF, y. esit et ex pentus 12 ld nonvalis coordinatae2
  39. 2c224
  40. 7.1= et V, ) 12M sit) patet esse, v = f(yydx: sydx) et q = (Xy dx: sydx
  41. erit erit v = Esyydx: sydx et Z= sxydx: sydx
  42. et du= gydx p- syydx yd ( = Sydx. hydx = sygax. ya
  43. 21 Sydx
  44. sydx. Xydx = (xydx. yax sydu
  45. asyqx Ep Max
  46. 7
  47. jan
  48. 1dx. y = Cyydx
  49. 2SydX. X = sXydX H.12 X.
  50. eaps Hianc aequatione
  51. eram ticam
  52. si pro
  53. substita
  54. antre
  55. auc Fr
  56. d
  57. 22.
  58. E
  59. 2 3
  60. 2
  61. sit AE,X

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 35r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0069?run=74