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Leibniz-Handschriften zur Mathematik LH 35, 6, 14, fol. 3r

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: 0.80.

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. 4v); this page is its right half.

The machine reads it as

  1. Ibu
  2. scheda 2dq
  3. t Usus Methodi linearum indefigitarum
  4. sese ordinatim secantium ad solvendat diferentiales
  5. per Exporcentiates scheda ida
  6. Generaliter sit aequatio ad curvam ordinatim concurrentem
  7. (b m posito ed non confinere ordinatam
  8. ases
  9. vel d
  10. vel abscissam X et y, seo constantem constant issimam C, et constantem a
  11. in una curva, ut Dariabilem pro diversis curvis ejusdem naturae, concyorentibus.
  12. et m conbinere Xe, y, a, c. ita ut sit c asc et m= X; y; a; c
  13. si M differentietur secundum X et y ejus differentialis vocetur am
  14. sin differentietur secundum a, ejus differentialis vocetur (d)m.
  15. Iaque diffecentiando aequ. 1. Ecundum a, ad inveniendum punctum concursus
  16. 114
  17. duarum curvaruum proximarum, fit dc. Cb = (a)m, seu ex 1 et 4
  18. fit deo. m (d) m. Sed differentiando aequ. 1. secundum X et Y.
  19. sit dn0. Itaque explicando co, et M secundum 2 et 3,
  20. edantum licet generaliter explicatisque tollati in aega 5et 6, tollatur
  21. inde a et habebitur aq. (7D in qua supererunt dx, dus X y c.
  22. le
  23. tesse
  24. Calculi contrahendi causa suffecerit loco a, manere ipsam cd, velesse co
  25. M= X; Y; cd; c. Supponitu sufficit ergo in aeq. 5 et 6, utcunque.
  26. explicari m per x, y, co,c. potest b esse unitas
  27. at C esse quantitas cuius logarithmus sit unitas. Exexplicationibus
  28. e Atque hac quidem est simplicissimum. proximum est ut c. B
  29. ipsius m ea est simplicissima, qua obtinetur valor ipsius a, vel
  30. cd, rationalis. si id est ut in ea n ce non assuru at ultra quadra
  31. Y1
  32. tam nec sit in exponente. Sit ergo m m f+ g + hEr
  33. 1
  34. ponendo f, g, h, dari per X, y, c. et fiet (d) m=g ded + 2heodoo
  35. ( per aeq. 5.) = deo m (per 2 et 9) = dco f + deogco + _ deo hcoco
  36. 47
  37. (107
  38. ergo ex 8 et 10, sit g+ 2hco= f+ go +, hc00 Rursus
  39. L
  40. ex 8g. 6 per 17. fit df + codq +Codh C0 unde ope aequa
  41. H et c2 tollitur co. si esset h constans in aeq. 12 lobbeat
  42. a
  43. sel
  44. haberetur cd sine coco; idem estien aey. 11 si esset f - g. ponamus
  45. esse E constante manfiet C0 =-df: dg. et ex eg. 1 fieret
  46. et
  47. eiss
  48. 2hfe = + f + h df
  49. 491
  50. d
  51. 19
  52. (15
  53. si siat f-9. et hvariabilis, tunc ryaeq. 1c sit
  54. en c
  55. =g= hed
  56. C6I Ch -q: he et exaequ. 16 fiet Lahha9dd
  57. Ehh.ghd an o hgs+g di l. Et habeditur

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 14, fol. 3r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068059:0005?run=73