Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 341

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. ipe llaro
  2. enire
  3. u12
  4. rii
  5. L aet
  6. et
  7. nat
  8. +
  9. Equales, auctx videlicet lemidiamerri circuli C FD. laque componime data BH ex CtU.
  10. TibusAB, AD. COnNeCtATUE aurem AF. Ouoniam GD secacur bitariam in F ab ea quX
  11. elt ex cenro (constructa est enim CD dupla iphius VY) ideo lecatur CD in Pad angulos
  12. rectos. Cadar igirur in balin BD perpendicularis AC, CTUNEAF, CD aequales e paral-
  13. Cclx, acque adeo aequales X parallela FD, AC. F.I ltaque AC alcirudo erianguli ABD.
  14. Lriangulum igitur ABD constructum est sub data bale BD, habenS AIIIaIe AC X-
  15. qualem darRFD, e crurum AB, AD aderegarum aquale est ip ( BHI, id est BF data.
  16. Ouod Faciendum erat.
  17. P E OB E E M A IV.
  18. Daca bale, alticudine dE diHFCTENLIA CFUTUII EKLAHBIIH, AHIVENIFC ELLAH-
  19. Sulum.
  20. Frianguli de quo quaeritur (c data
  21. batis BD, alcirudo DF, differentia
  22. crurum BF. Oporret invenire crian-
  23. sulii. Cenero B interrallo BF descri-
  24. bacur circolus EH, inclineneur au-
  25. temDE, BD ad angulosrectos, ipla-
  26. que DF dupletur in C, ee per puncta
  27. i, D describatur circulus CFID cir-
  28. culum EIE. concingens in II, _ SIF
  29. circuli OHID cenerum A. IEaque COn-
  30. nectatuE AD. Priangulum igicur COn-
  31. Ctructum est ABD Tub basC daca BD.
  32. ee sunc AD, AHIxquales, uter que vi-
  33. delicer lemidiameter circuli GHD.
  34. leaque crus AD diferE a CruTC AB PeF
  35. BF, id cA per BF datam. Connecta-
  36. EET RuTeM AF. Ouoniam CD secatur bitariam in P ab Ca qUX eAt ex CenrO (constructa est
  37. tum OD dupla iphuSDF) ideo lECatUT CD in F ad angulOSreCtOS. CadaFIBITUE BALIM
  38. D perpendicularis AC, CTuNE AF, C D aequales e parallelae, arque adeox quales e p2-
  39. aleEFD, AC. Estaurem AC aliicudo reianguli ABD. Friangulum isicur ABD Con-
  40. aructum eA sub daca base BD, habens alticudinem AC aequalem datae FD, d ejuscrura
  41. AB, AD diHCrUNEPeF BHL sCu BE. datam. Ouod Faciendum etaE.
  42. P R O B L E M A V.
  43. IDacabale, alcirudine, ec angulo verricis invenire criangulum.
  44. Sic daca criangulibalis AC, alcirudo C F angu-
  45. bsad verricem aequalis angulo Z. Oportet inve-
  46. hirc criangulum. Inclinentur AC, C F ad angulos
  47. ectos. Faciane vero AB, AC angulum aqualem
  48. ei quem relinquir e recto angulusZ, incercipien-
  49. ce ABiplam C F in B punAtO. Ec per Signa A, C, B
  50. delcribatur circulus, quem acta per F ip ( AC P2-
  51. callela secer in C. Dico eriangulum ACC iplum
  52. Elle quod quaericur. Anguli enim sive ABC SvC
  53. AC. C duplam amplicudinem eadem detinieperi-
  54. Pheria AC, quare lune aequales. Sed constructus
  55. angulus ABC daco Z aqualis. Fancus estigi-
  56. Erargulus ACC. Cadat aurem in AC Perpen-
  57. dicularis CHI, cricisicur ipCa erianguli ACC alci-
  58. adoac data CF aequalis, caecerum AC ip(a CAt
  59. halis data. Factum estigitur quod op orcebat.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 341. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0347?run=74