Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 413

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. mpe
  2. AVESPOH SORDM LFDER VITI.
  3. ex pranCcingola teriiae, ita quod sit sub transst, a bolpi ona es sinu complementi tertiae ad
  4. i quo set sub snu coco es sinu complementi prima.
  5. 16 Ve rectaneulum quod fit sub sinu eOrO es prosinu prima ad id quod fic sub sinu secunda es
  6. Prosinu cerriae. ita quod fic sub transsinuosa complementi secunda es prosinu complementi terriae ad id
  7. quod fic sub sinut eoro e prosinu complementi prima.
  8. A YF S E X F I.
  9. Toeanun I..
  10. Peripherias incellieo tripleuro spharico constiruendo idoneas. Iaque ne semicirculum excedunto.
  11. Daca peripheria compolica e duabus peripheriis, quarum eranstinuosae daram habeane
  12. rarionem, dancur lingula.
  13. L Enimvero si composita minor est circuli quadrante,
  14. Eric,
  15. Verranssinuosa componeneium primae ad transsinuosam secundae, ita cransinuosa complemenii com
  16. Posica ad prosinum secunda, plus prosinu complementi composita.
  17. 2 Et si composica major est quadrante circuli, ueraque vero componencium minor quadrante,
  18. EciE.
  19. VEeranssinuosa primae ad cranssinuosam secunda, ita transsinuosa complementi composita ad prosi-
  20. num secundae minus prosnu complemenei composita.
  21. 3 Et sidenique componennum peripheriarum prima sie minor quadrance, secunda major,
  22. Fric
  23. Vecranssmuosa primae ad cranssinuo sam secundae, ita transsimosa complemenii composita ad prosi-
  24. num complementi composica minus prosinu secunda.
  25. EE,
  26. Vecranssinuo sa secundae ad transsinuosam prima, ica cranssinuosa complemenii composita ad prosi-
  27. num complementi composica plus prosinu secunda.
  28. 2I.
  29. Dara differencia duarum peripheriarum, quarum cranstinuolae clacam habeane rario.
  30. nem, dantur lingula.
  31. 2 enimvero si disferentia sit major circuli quadrance,
  32. Erie.
  33. recransinuosa disfereneium primae ad cranssinuo sam secundae, ita cranssinuosa complemenei diffe.
  34. rentia ad prosimum complementi differentiae plus prosinu secunda.
  35. 2 Et si disserenria sie minor quadrance, differentes aurem peripheriae diver se sine speciei,
  36. Erie,
  37. VE cransinuosa primae ad transinuosam secundae, ita rranssinuosa complemensi disferentiae ad pro-
  38. sinum secunda minus prosinu complementi differentia.
  39. Et si denique differentia sit minor quadrante, veraque vero differencium vel minor quadrante,
  40. vel veraque major. Prima ausem intellicasur ea au quam persinet cranssinuosa major,
  41. Frir.
  42. De cransoinuosaprime ad cranssinuosam secunde, ica cransinuosa complemenei differenciae ad pro-
  43. sinum secundae minus prosinu complementi differencia.
  44. ic
  45. Ve pranssinuosa secundae ad transsinuo sain prime, ita transsinuo sa complemensi differensiae adt
  46. prosinum prima minus prosinu complemenii differentia.
  47. 1II.
  48. A E L X E K
  49. Dara sumea Ver aercua duarum peripheriarum, quarum cranslinuolae dacam ha-
  50. beancracionem, dancur Cingulae.
  51. i Enimvero si utraque perip heria proponatur minor quadranse vel ueraque major.
  52. FCC2
  53. Exir.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 413. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0419?run=74