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Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 234r

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: 0.87.

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. 233v); this page is its right half.

The machine reads it as

  1. Operae pretum esst quaereae Curvam homologam figurae segmentorum
  2. et
  3. staxix
  4. eju quadr. ablata unitate = 2ar - x
  5. 24X - X
  6. Zar. X)
  7. fiet
  8. 1 X- 2ax + X vel x. 2a + X = Y - s2x - 2a
  9. stax- X
  10. 2a - X
  11. a
  12. a
  13. 2a-x=
  14. vel Xa = Ego 3 = 2X - 2a Et 2a3 =- x5 =- 2 a. 2a
  15. 2a -x
  16. Et 22y = 2Xa - 2a + Xy, vel 20y - 2a - 2X a - X y)
  17. vel 2ay- 2a = X. Huus ergo figuraequadratux
  18. 2a - y
  19. Curvam habet segmentis crculi homologam
  20. si sumas anteratque C, fet quV fiers 2- a .
  21. a + y
  22. cus H,
  23. a+ y
  24. 2a5,1= e ablato 1 2 =- a - 2ay eyt
  25. a + 24y + y7
  26. sive a 2a huus figuraequadratux
  27. a + 2ay +y
  28. curvam habet
  29. punctum aliqod aequalisi semper feratur versus
  30. rectam a recta AB versus rectam CD, iis
  31. legibus ut motus semper sit aequabilis sive
  32. uniformis, tempus autem talem dd recta tamen,
  33. quo divisa Et tamen rcta BC. divisa
  34. in partes aequales infuitus per quas pvictss
  35. B. E F.G. per quas parallelae infinite product
  36. transeant punctum A ponatur ex recta
  37. B. venije in rectam E, tempore aliquo quod
  38. (ulcunque infunite pa 100) quod appelletur a.
  39. ex E veo in F tempore a +1, posito 2 esse
  40. infinitesimam temporis partem et ex F in G
  41. tempore a +2, et G in H, tempore a +3 2t
  42. simper ut velut B. H. C. 9. est ad BE ita sit
  43. qeecesse cemporis ex . sit ad ad excessum accessio
  44. nemitemporis ex E in F, atque ita differentiae tem
  45. porum, erunt ut quadrata altitudinum seu dif
  46. Nam tempus quo perotuntur ex B in F, erit a ductom
  47. in numerim terminorum hoc loco 2, = 2a + sem
  48. quadrato ejusdem, 2, Rectius cum BE, sit 1, erit
  49. acc essus (Ergo ex b in E feretur tempore 1, ex Em F tempore l +
  50. ex F in G tempore: 1 + ∞. ex in A, tempore, 1 + 3 ex H in 1. tempore 1 + Z ea
  51. B52
  52. a
  53. sunt crgo temptuo 2at 4 L = y Bu ab
  54. de Quadratrice Hyperbolae
  55. eit longitudo rectarum seu spation per ex B in G tempore BG+.
  56. et 1x B i 1, temport haB1 + 8,

Cite

Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 234r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0469?run=44