Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 275

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. X. Siert
  2. 20. Ouont
  3. CX CrIIaq
  4. rajormit
  5. EOli
  6. 5, TI. IG
  7. Duod
  8. eranire Pet
  9. d illud
  10. in parodo
  11. est de iM
  12. rOrciona
  13. CTa PILYL
  14. TCT A
  15. P V F 1
  16. De construendo quadrilatero, quod sa on circulo.
  17. cc epcatu elt ac perutise lroblema de Co.
  18. t
  19. loex quacuor datis recis CIS Guacaleo, iea
  20. Culuscca Mn Peac. Lcopoluciunt al
  21. ltelices ChirursiadidopusHoC LACorcid.
  22. perint quatuor linea recta ex quarum prima utbase, e
  23. DCundant perpendiculo, constiruatur trianculum unum rectan-
  24. culum. Aque ex tertia ut base, es quarsa ut perpendiculo, con-
  25. Huruatur crianculum alterum rectanculum, describatur aurem circulus cujus dia-
  26. meter aequalis sit compositae dimidia ex hypotenusis eorum triangulorum, is est cir-
  27. culus incra quem constructum ex quaruor illis rectis lineis quadrilaterum poterit
  28. aptari.
  29. Sincitaque datx quatuor rectxe linex primars, secunda 20, Ferria7, quar-
  30. d24. Trianguli isitur rectanguli, cujus balisr5, alticudo 20, crichypore-
  31. Aula 25. AE que triangulirectanguli, cujus balis7, alcitudo 24, erie tiypo-
  32. enula 25. dux duxe hypotenulae conticiunts o. Dimidia isicur summa, id
  33. C25, erir (le cundum Pheorema) diameter circuliinera quem quadeilace-
  34. tum ex quatuor daris constructum porerit inscribi, ut revera est. Acinseri
  35. larum Ordo nihil ad dic adimic. ve peripheriarum subcentioni. Nempe (i
  36. Cetae 15, 20, 7, 24 Subcendunecocam circuli circumterentiam, subtendent
  37. ordinc inverso qualir5, 7, 20, 24. Frianguliisitur rectanguli primi ba-
  38. eltors. alticudo7. Frichyporenula v 274. minor ideo Y289 id est minor
  39. olisitudine 17. Prianguli vero rectanguli secundi balis esto 20, alcicudo
  40. +. exit hyporenular 976. minorideor +o24 id est minor longicudinc. 32.
  41. Duarum itaque hyporenularum summa minor eric +9, atque adeo dia-
  42. Herex circuli erit minor 24 :. Cum ante per eandemmechodum inventa
  43. Friser 25.
  44. Fallaxigitur ea doctrina est qua ideo non utar, sed reram quammemea
  45. docuerune Analycica candide impertiam. Ab iplis vero ordiar Ceome.
  46. prieis elementis.
  47. PR OPOSFE10 I.
  48. Cujustibet quadrilateri eria lacera sunt majora reliquo.
  49. Exponatur quadrilarerum quodlibet ABCD,
  50. constructum ex rectis AB, BC, CD, AD. SanC
  51. Charum aliqua porest esse majorreliquis eribus,
  52. Lerirmajor omnium. Sic major omnium AB.
  53. Dico iplam AB minorem este COmpOlITA ex
  54. BC, CD, DA.
  55. Agatur enim dingonin CA, consticura igicur
  56. e duo crianeuta ACB, AC D. Frianguli aurem cujuslibet duo lacera lumrmajora reli-
  57. O. Itaque eric AB minor compolita ex BC, AC. Sed eipsa AC minor erie compo-
  58. Ad ex C D, DA. Ouare canco manifestius AB minor eric compolIIa ex BC, CD, DA.
  59. Duod erat demonstrandum.
  60. PROPOSFTTO TI.
  61. Si in quadrilatero duo anguli oppositi duobus rectis sint aequales, erit
  62. Uadrilarerum in circulo.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 275. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0281?run=74