Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 340

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: 0.80.

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

The machine reads it as

  1. 140
  2. c
  3. A OB E E M A II
  4. Data bale, alccume. de ratione crurum crianguli, invenire triansu
  5. lum.
  6. Oporieb autem, cum basis secadit ptoratione crurum; e rectangulum quod
  7. sit sub seementis adplicabitur ad altitudinem, quod inde orietur, non minus esse
  8. differentia seementorum basis.
  9. Sic dara rrianguli ba ls BD, alcicudo Z, ratio crurum uc S adR. Oporrec invenire crianeu.
  10. lum. Basis BD Secerur bitariam et ad angulos rectos in C a recta P. C quae Cc ip (1 Z. a qu alis.
  11. _per AagaTUF FAC ip (I BD parallela. F adem basIS BD secetur in F. racione crurum uc lo
  12. BE ad ED, SICUES ad R, _C AGAEUFHE ip h AC aequalis et parallela, e ira producarur in Lu
  13. quod Ac(obHIE, EI Sc aequale eiguod
  14. AETUBBE, E. D, eE secetuIF F.L BitatiAI
  15. in K, _cenero R interrallo FK vel K
  16. describatur circuluSquem AC COnTI
  17. nuaca secer inpunctis L, M, aur demis
  18. concingat in M. Secabicenim aVECON
  19. tinger circulum illum AC. quoniam
  20. cadens in eam ex cenero K perpendi
  21. cularicer erir aqualis ip(IF C, cui ex
  22. caurione adjecta Problemari praecta
  23. bic aur demum erie aequalis EK Cemi
  24. diamerer circuli. Denique acta MIF
  25. sCCCEFO InN, _ connectantur BH.
  26. ND. Triangulum igirur constructum
  27. eAt BLID, cujus bats eA data BD, il
  28. quam cadens perpendicularis NO AC
  29. ip(i AC seu Z darx aequalis. Connecta
  30. tur aurem IM. Suncigicur crianguli
  31. Similia rectangula NHE, IMF, de el
  32. NENLadIE, ita HIE ad EMI. Ouod Eciraque sub NE, FM aequale est ei quod tic lub tL
  33. EL, id es rectangulo sub BE, ED. Ouare punCta B, H, D, M sune in circulo. In eo aurem l
  34. centa BD secatur bitariam ad rectos angulos ab AC. quare lectio cA percenerum, dt lut
  35. peripheriae aislales BMI, MD. angulusigitur BNL atiouIO E ND est equalis, e ideo ett b
  36. adND, Sicu BL ad F. D. Friangulum isitur B H D descriprum est sub data ba(e BD, cl
  37. jus alcirudo VD aequalis est imperacae L. let AC, ec BN ad ND se HabCE, UEBF ad F. D levr
  38. A OBL L sit A Lll.
  39. ueSadR. Guddlaclehdum erat.
  40. Sic crianguli daca batis BD, alcieu-
  41. do DE, adGrEBATUM CrUTUIM BF. C
  42. porrerinvenire criangulum. CCntrO
  43. B incerrallo BE describatur circulu.
  44. EZII, INClIHENEUFAUTEM DF, DB aC
  45. angulosrectos, ip laque DF duplice
  46. tur in C, X per puncta , D delcri
  47. bacur circulus CFID circulum HFL
  48. contingensin EI, e sic circuli CH
  49. Centrum A. itaque connectatue AL
  50. Friangulu igirur costructum Cst ABL
  51. EI
  52. paa
  53. sub data balc BD, _ UNE AD:
  54. 9u2
  55. Data base, alcitudine, et aderesato crurum criansuli, invenire triangu
  56. IIIII.
  57. equales
  58. bus
  59. elt ex ce
  60. rectos.
  61. 2, 21
  62. Ualem
  63. Deba C.
  64. liare,
  65. D3
  66. ciar
  67. eturum
  68. BuI
  69. NDB
  70. D d
  71. dum
  72. ectarur
  73. ANEB
  74. licer
  75. Qle cr
  76. ides
  77. aarer
  78. D
  79. C
  80. x
  81. aetur
  82. AD
  83. Sulum
  84. Que DF
  85. reuli
  86. ue
  87. dic d
  88. criam
  89. 105
  90. Iem
  91. riba
  92. da sec
  93. 10
  94. gulu
  95. at
  96. dar

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 340. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0346?run=74