Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 287

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: 0.89.

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

The machine reads it as

  1. M.
  2. (F V L +LLLS
  3. L
  4. SECTTOVI
  5. PHTEOREMA LA LLOOAIRODTEDA
  6. DEMONSTR ATA
  7. D E R
  8. AL FX ANDR ITMI ANDF RSOA Et M.
  9. T H E O R E M A I.
  10. og ltuerine eria criangula rectangula, quorum primi an-
  11. Sulusacurus, differat ab acuro secundi, per acutum cerriis
  12. (S Lsic excestus penes primum, lacera certiirecipiunt hanc
  13. olimilicudinem.
  14. FErpocenula, Ec limilis rectanisulo sub hypotenulis pri-
  15. midlccundi.
  16. Perpendiculum, smile rectanoulo sub perpendiculo
  17. erimi eebale secundi, minus rectangulo sub perpendiculo secundi, et bale
  18. Primi.
  19. Balis, rectangulo, sub basibus primi ec secundi, plus rectangulo Cub per-
  20. Pendiculis corundem.
  21. Lanculus acurus incelligicor, cui lacus perpendiculi voce designarum subtendicur. reliquuse recto, cui
  22. hasis. hypocenusa vero, latus recto subtensum.
  23. Siperria crianguIA AEB, ADB, ACB, quOrUM BALES CINEAE, AD, AC, perpendicula
  24. Lb, OB, CB. SCCCCF Bbalin AC in spuncto: de demirtatur perpendiculatis DC in se-
  25. ctam AB
  26. ErirguenE AD ad DB, ita AE ad FF, id
  27. eICF. B minus IB. _ rectangulum DBInAF,
  28. equale erirrectangulo AD in FB minus AD
  29. in LB, addiroque communi AD in IB: DBin
  30. AE plus AD in IB, aequabitue AD in F B. est
  31. Quogueur AD ad AB, ita CB ad IB, dre-
  32. cangula AB in CB, AD in IB aequalia: Cr 30
  33. OB in AE plus AB in BC, aqualia erune ip (I
  34. AD in EB. ec ablaro communi (AF in DB,)
  35. ABin BC aequabicue AD in F B minus AF. in
  36. B. quibus ip( AB applicaris orierur larieu.
  37. oDC, erirque AB quadeatum ad AD in
  38. LBminuS AE in DB, uc AB ad BC. Ouoderatdemonstrandum.
  39. LLUECUSUEAG ad AD, iFA AE ad AI, _ AD in AF, aquale erir ipl AC in AI; est au-
  40. A ABinAC, aequale AC in AL plus AC in 1C plus CB in AC: e C B in AC, aequale
  41. ACB in AIplus CB in 1C. est quoque AC in 1C plus CB in lC, aequale AB in IC. et
  42. Loinde AC in AI plus AB in 1C plus CB in AI, aequalia erunc AB in AC: Sed CB in AI,
  43. Mm 3
  44. aequale
  45. o

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 287. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0293?run=74