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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 293

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. in qu
  2. NEF 4
  3. BI, ducal
  4. eioneH
  5. GIm
  6. Cipsi AL7
  7. eu
  8. 119.
  9. ABLa0 B
  10. It
  11. sal 89
  12. 9
  13. 1B4
  14. nAD
  15. 1t
  16. cie
  17. VOTC
  18. dicta extremitate cductam diamerro proximant, ica quae libet intermedia,
  19. ae lummam duarum, in eadem semiperipheria LBIUErInquC PEOXHaLeLI.
  20. ac licircumterencix sumpex aequales, semiperipheriam LuPerenE, ita mi-
  21. tuma cducta, ad difterentiam duarum sit iucrinque proximaram.
  22. Sic circulus cujus diameter AB, cenrrum P, ejusque peripheria a punetoB, Seceturin
  23. parces quorcunque BI, ItL, HG, GF, FE, ecC. aequales, quibus aquales quoque line BIL.
  24. CMl, MN, NO. Sincque ab alcero diamerri excremo A eductx rectae ad aequalium sectio-
  25. mumcerminos AL, AEI, AC, AF, AE, ecc. e e ductisrectis connectancur puncta BL, IL,
  26. ul. AIM, HIN, CN, CO, aec. quae prioribus ab A puncto eductiserunc ligillatim aequa-
  27. s, coridem quippe ac aequalibus segmentis subcena, secentque semidiamerrum PB in
  28. punctis P, Q, R, S, F, V, Z: cumminimam BL secer recta PK ex cenceo ad angulosre-
  29. os secans ec reliquasip (i BL. parallelas in punctis Y, 6, dee ad angulosrectos, cum sE
  30. iplas GN, AM, IL inpunctis an Y, c.
  31. Ec quoniam rectae IL, AIM, ON,
  32. connectune puncta a termino
  33. diamerri B aequalirer uerinque remo-
  34. ea, crunctxe ad diamerrum perpetdi-
  35. culares, aC uc AB ad AI, ica C O ad
  36. OP, e CQ ad GR, ergOItL tOLGO
  37. dd COMPOLITAI ExOP, GR: SICHIN
  38. Ad COmPOLITaI Cx RN, HIP: aEquCICa
  39. ec reliquae incermedixe ad compolicas
  40. e semistibus duarum sibi urringue
  41. proximarum: Similicer, ue AB ad AI.
  42. AdC a adCY, dt o. N adNB, CrBOUE
  43. AB ad BL ica FOTACN ad compolicam
  44. ex semistibus OX, NB, Sibi urrinque
  45. Proximarum: acque ita HIM ad com-
  46. Potiram ex Cemiltibus vrrinque proxi-
  47. marum LI6, ML d, acque ica de reliquis.
  48. c aurem incermedia qualibet ad
  49. aorum sibi urrinque proximarum semiltes, ita cuxla incermedix ad compolicam ex iil-
  50. Aetr: erg ouc diamerer ad diametro proximam. Ia lupla incermediae ad compolicam ex
  51. ddbus libiurrinque proximis, et uc semidiameter ad dametro proximam, ita incerme-
  52. la limplex ad compolicam ex duabus libiurrinqi prods. Ouod erac demonstrandum.
  53. oc lecundo circuli peripheria cujus diamerer FC, lecta Partes aequales FA, AB, BD.
  54. l, quae emiperipheriam supecene, cque minima alcerurri lemiciculo inscripia BC
  55. LD: dico ue lemidiameter ad subrentam marimam, ica BC ad differenriam ip larure
  56. E, CD; Scu C D ad disterenciam ip sacum BC, C H.
  57. Subrendatur enim AC, ee GaBE
  58. BC, BC aequales, (productanimi-
  59. ruM DC in C,) se procendatur CB
  60. I E, ducacurque FD: cririgituran-
  61. lusBCOid eAt BOC, aequalis angulo
  62. BED id eABC A. (suncenim (UMPEX
  63. circumterencix BD, B A aequales.)
  64. Anguli quoqueBAC, BDC aequales
  65. lunc, ec latera BC, BC aequalia ex
  66. constructione. ErgO _ AC, DC
  67. equales guOque CFuME: es BUTeM UE
  68. plarum AC, C. D. Es enim angulus
  69. CCaequalisangulo BE. D, quem ta-
  70. AID ANCDL ARES SECTTONES.
  71. lemidiameter ad subrenlam maxi-
  72. nam, ita BC ad CC diferentiam

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 293. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0299?run=74