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Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 262

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

The machine reads it as

  1. 162
  2. PBEV DO. AEESOE A B V H
  3. P R OP O SFFZO VTI.
  4. Si cIAMCLUI CILCHM LCCCEIICKIPCA: etH ux differentia segmentorum
  5. diametri ad differentiam segmentorum inleripeae, sa Maele encust a
  6. subrensam duplo complementi anouli lectionis in (eripea e diametei.
  7. Diamerrum enim circuli A B inscripra C D lecer in L, quam acta c cenero L.C otuat
  8. bitariam in C. Es igieur F E. dimidia differentia segmencorum AF, E. B, d F. C. differen
  9. tia dimidia lcomeneorum C. L
  10. F. D. Dicoirague ur duplam P F
  11. 2d duplam P C, ica esse diame.
  12. trum AB ad subrentam duplo
  13. complemenci anguli FFCF. Ou0-
  14. niam enim acta CcentrO FC, sC-
  15. cac C D bitariam in C, ideo
  16. norinalicer seCaL. OUare anGII=
  17. IuS CF F. est complemeneum
  18. anguli G F F. C OnFIMUCTUE PC
  19. 2d circumterenriam in FI, e a-
  20. satur AI ipGF HI parallela, Ce-
  21. canscirculum in I, e connecta.
  22. curBI. Erie igirue circumteren-
  23. cia BI dupla circumFerentiae BII.
  24. de ipsa B Hlestamplicudo anouli
  25. HIEB. Duare circum Ferencia BI
  26. criciplus anguli FL F B amplitudo dupla. EHisicur L B Subren (a dup lo anguli G FF.
  27. complementi anguli C. E. F. Priangulo aureM L C P. Simile criangulum est A P B. Fr8O etL
  28. UEPL ad F. C, ira AB diameter circuli ad BL subleMam duplo complemenri anguli L. LC
  29. _ consequenteruE F E. dupla ad F. C duplam. Ouo derar oltendendum.
  30. PROPOSFFZO NIII.
  31. Si Fuerint creslinex recta proportionales: composita ex omnibus
  32. ior exit me dix eriplo.
  33. Suncorres proporrionales A B, B C, BD. DIcO CompolITam ex AB, BC, b
  34. jorem este cripla B C. Facianr enim unam perperuam lineam AB, BD, e Hac AD a
  35. meter circuli. Dux igieur excir-
  36. cumterentia cader perpendieu
  37. lariter ad B, erit ipla B C. conci-
  38. nuaca autem lecer quoque circu-
  39. Jum in E. F.C igituE C P. dupla
  40. iplius C B. F st aurem minor dix-
  41. etro AD, cum diamerer sicma-
  42. jor inccripearum, alioqui AB
  43. BC, BD estent aquales. Hlic au-
  44. rem proponicur proporrio inx
  45. qualicacis, non aequalicaris. Ou2-
  46. se compolita ex AB, BD ma-
  47. jor eAt compolita ex C B, BF..
  48. e consequenter compolita ex
  49. AB, BD, C B majoc est com
  50. POlTA ex CB, C E, id estma-
  51. jorcripla C. B. Ouod eratosten.
  52. dendum.
  53. n

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 262. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0268?run=74