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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 44v

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: 0.78.

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. 43r); this page is its left half.

The machine reads it as

  1. tab ais de justitia analytica gedacht, ist Zueors ncht abau de necessitate, viber
  2. viellaicst ad melius etse, nera mon wedet, dienlics. diesa dathnon jastit n
  3. Griche in etebab zu eaclares, so verstehe solche: Weu glaihnera in der puttit
  4. gupnn manphe, caine acceptio pensonarum, alro sinae die litera oue glausan
  5. euis tractiret werden, V. Zue vin Zu Zrite, ohne interscheid, Zu haiten, etliche
  6. mit ihres glaiche, V. omdere weidere mit ihres glaice. Restetamut tres aequatio-
  7. nes ea tuis, quibus justitiae quiddam metse notaveram:
  8. 3 (a ef + bhL) 2C11
  9. 2, aff +bKL, 2acf + ael + 2b9 L + bhh.
  10. 3 (aec tbhg) Z C2)
  11. 2, acc + byg, 2acf + ael + 2bg K + bhh.
  12. (2)
  13. 0
  14. aes ibha, aec +bhg = 4, aff+bKN, acc + bgg.
  15. ut
  16. (13
  17. 2
  18. m aequ. 3. habent sese a, ef; ut b, h, C, respective
  19. X
  20. eolo
  21. a,e, c; ut b, k, g.
  22. fik; ut c, g.
  23. ) m aequ. 1. singulitim sumta, vel in aequ. 2. singulatim sumta habent locu
  24. tam habitado articuli 1. quam articuli 2, sed non articuli 3.
  25. 5.) itaque aegg. 1. vel 2. non sunt perfecte justitinriae, quia non eodem modo
  26. tractant f.k; ut c, g.
  27. 6. 1) sed aequ. 3. est perfecte justitiaria, quia siunc defectum supplit, cum
  28. po, calculus integer ostendat Y, X; C, q; debere pari jure uti
  29. agg. 1. et 2 simul sumtae etiam sunt pfecte jartitiaria, ut ipte calculus
  30. inteer; vel ut aequ. 3. quae calculo integro jartitia non cedit.
  31. 810
  32. Et si nova aequatio ea iptis 1. et 2. inter se eodem modo conjunitis frat,
  33. ea erit etiam perfecte jartitiaria.
  34. Rocsdem, ic o dergestalt nus mit meditire, so wait darin eingelaste, fo habe Wer-
  35. ruhe, Wolle, bbsich unu ein vor allemas donion erlosen konte, welches ouch andhih
  36. voch mihl one nurse V. Zeit, Algend masten amgorns. Compendus cauta seritam
  37. ono)
  38. 330 =26,27 42R, et (2) 3DD= 28, 2 + Eh, et (3+io) OD=
  39. 4,6F; ubr patet quid O, D, S, E, sed per 2 intelligo aee+ bhh; et per
  40. Tintelligo acf. + bgR. Port muttas autem ambages reperi tandem (qt) fg = ek
  41. seu X. fg: C, qua explicatione iptius K satisfit aequationi 1. ut haberi possit pro
  42. expedita; eo ipso enim reducit, ad aequavem 2. Rertant ergo solventae agg. 2. et 3.
  43. s
  44. Ob 4 fit (5+) O = Df: C, et (6) 6 = 4f: Cc; hinc sublatis, O et 6 exaeg. 3.
  45. b
  46. u
  47. 10)
  48. fit (7. m) D = 24ff: C. Peursas per 4 sublato K ex valore iprius Z. fit (8.
  49. e
  50. Ef: C. Ergo ex equ. 2. et (gn) 3DD = 28, 2 +28f: C; unde per aeg. 7.
  51. lo
  52. moi
  53. tollendo D, et explicando 27, fiet (10.) 4Ef: c = nee +bgh; sed ex aequ. 7. pro
  54. mo
  55. W0. et 11. calculo valgari et facili nec ultra planum atsurgente, habentur e eth
  56. per a et b datas, et iptas C, f, g, R, (quae etiam latent et parte in 4) pro artitiio
  57. attumendas, modo fiat X: f = g: C, seu fg = Cx. Et hoc modo tritas aequationibus
  58. propositis et satisfactam.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 44v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0086?run=74