Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 382

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: 0.83.

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

The machine reads it as

  1. VAR FORVM DE R E BYS MIA YH E A A ZTCFS
  2. PROPOSTFHOL
  3. 362
  4. dupla est amplicudo anguli sectionis, continuati angulo corniculari.
  5. Duod erar oltendendum.
  6. Angulus qui Ac a linea recta cir.
  7. culum cangence et ipla circumteren-
  8. tia, Colec ab incerpretibus dicinceg
  9. 204d15, sive cornicularis.
  10. Circuliigitur sab A cenero deleri
  11. pri, sic segmentum quodcunque
  12. BDC, comprehensum à recta BC
  13. quae balis est segmenti, ee circumte-
  14. rentia BDC. tangat aurem circulum
  15. reCTA BF. Dico circumFereNEIAN
  16. BDC duplam esse amplicudinem an
  17. suli EBC, compolici ex sectionis an
  18. gulo DBC, d corniculari DBF. AG4
  19. tur enim diameter BAF, angulu.
  20. igitur reCtuS est EBF. recti aurem an
  21. suli amplitudo dupla est semicie.
  22. cumtereneia circuli. Jeaque duplo
  23. amplicudo anguli EBF est circumte.
  24. rentia BD CF. a quo auteraTULC F,
  25. Gulorum D, B, cireduteea el. Sudd ctacostendendum.
  26. R OPOSFF 1O ITI.
  27. Anoulo dato, quem faciune dux circumterentix duorum lele secat
  28. cium aequalium circulotu, una convexa, altera concara, ansulum recl
  29. DuocirculiABD, BED aequali ir
  30. cerrallo descripei, sele mutuo incet
  31. secene in punctis B, D. unde Aac lu
  32. Duta ABED. Oporret anguloABL
  33. lunari, angulum rectilincum extia
  34. bere aequalem. Circulum BFD tan
  35. BaL In B reCta B F, CCCanS CicCUIUM
  36. ABDcum in B, cum in F; circumte
  37. rentix aurem BF Cumatur in circule
  38. secundo BF. D, circum ferencia BC
  39. aequalis, e subcendatur BG. Ouo
  40. niam igitur aequales lune sectione
  41. ABF, EBC; quancum ab angulo lu
  42. nari ABED autere anguluS seCtiOMI
  43. ABF; cancum re sicuic angulus lectio
  44. i
  45. Circumferentia sub qua e base comprehenditmr Termencum circuli
  46. dupla amplicudo anguli CBF. relidua isicur C D B dupla est amplicudo auguli F. BC
  47. ejuldem circuli circumterentia eAt.
  48. angulienim propolicarum distimilium sectionum cteu, lunco D, B; illa mojor, has
  49. cumterentia, de rursus F plus B circumterentia, X harum difterencia est D minus
  50. PR OPOSFTTO II.
  51. Currum quo differune in eodem ciroulo anguli dissimilium sectionuM
  52. minor; angulus vero cornicularis F. F. CigicuT ex antecedence propolitione F plus
  53. vero diftereneia duarum circumtetehllatuu, circumterenria est. Ouare diftereneia
  54. lineum chvere asccate.
  55. niel
  56. due
  57. nsu
  58. ex
  59. 8
  60. qu al
  61. aip
  62. POr
  63. u
  64. serene
  65. nt
  66. cirer
  67. 1
  68. Cot
  69. de
  70. etin
  71. cano
  72. ei

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 382. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0388?run=74