Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 366

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

The machine reads it as

  1. 866
  2. TAPPENDLX DE CUBLCARUM
  3. HIOc eA, ordinara aequatione, habebitur x x ∞y N L 3 a a. IInde
  4. g
  5. extracta radice, tEv D ) 8 V 3 a a- 27y. Ilinc, sin aequatione
  6. oliminvencaxs xt F aar F a ab in locum a substicuacur valor
  7. it
  8. de
  9. inventus LY 8 V 3aa =y7, et in locum x ejus cubus, qui est
  10. E aag=y38 3 a d V. 3 a a 2yY, obcinebimus aequationem
  11. V3∞ F. F3 aaya ab. Cujus ideo veraradix crit linea A.
  12. Lodem modo ad inreniendam LC, si pro ca PonamuS Z, atque
  13. ab ipla tollamus IC ∞ = X, remanebit F L ∞Z i x. CInde cum
  14. quadratuum ejus sI
  15. Lx Z t x x: eric icidem Z _ Z H L x b
  16. ∞ 3a a = = X v. FlOc eA, ordinata aequatione, habebitur
  17. XX D Z N 3 aa. FEFu, extracta radic e N ∞ L 8 V 3 a a
  18. 2Z
  19. Isinc Pirurlus in aequatione olim inventa a3 ∞ X. L3 a a x F ab
  20. in locum x Tubrogetur ralor inventus Z 8 V 3aa = = 22 et ip
  21. locum x3 ejus CubuS = 4 4Z
  22. a L L obcinebi.
  23. muS aquatIOnEI Z.D FPadZ aab. CujuS IdCO VeraFaCI
  24. estlinca FC.
  25. Ex quibus colligitur, (i aequacio propolica fuerit xi∞ F L3aax
  26. aab, eandem duas admitrere veras radices, quarum minor A P ob.
  27. cinetur, s ex ALvet IC dimicia base primitrianguli AB C, au
  28. feratur recta FI, cujus quadratum lic xe quale eriplo quadrato ejus-
  29. dem alcitudinis BI; de major, si ad AI vel IC ipla FPaddatur.
  30. Ommino ut tuic propolicum.
  31. Ubiporro adverrendum, quod, in eadem aequatione x3 ∞ + F
  32. aax-a ab, ob mutuam radicum a quarionis hujus certiae ac le-
  33. cundae Formula reciprocationem, tertia radix (Ic Falla, quae per
  34. AC. balinprimi crianguli AB C, delignatur, quae que iplis peris
  35. AF, FC limul Cumpris eA aequalis. Pc contra li ae quatio fuerit
  36. ∞3 3 F- 13 a a x- F a a b, quod praeter VeraM, quae per A C extii-
  37. betur, alia duxe extene talla, quarum minor est A F, de majorFC,
  38. quae limilicer sunul Cumpex iphi verae A C Cunt aequales.
  39. Denique quoniam omnesliles _quationes ad xquationeM
  40. polteriorisProblemaris rerocari queunt, pocerimus quoque pron
  41. ine peutras POlIEX XQuacionIS ∞3 ∞ 2700X 32400 ralores radicis x sc ex
  42. BaS. 362. PIimere; Dicences e0s per diamerrum circuli A I; designari, in
  43. re 363. Quo li inscribancur tres, rectae, linex inxqualeS AB, B C et CD
  44. 1

Cite

[Ps. 1], fol. 366. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0388?run=74