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Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 297

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. ue X
  2. entiacu
  3. Im COnt
  4. secun
  5. recdt.
  6. CiCId.
  7. leprI
  8. quatet
  9. arta V
  10. adtect
  11. 5 ild
  12. p.
  13. netOS.
  14. TuuI
  15. Sed
  16. poit
  17. 3. 5. desib
  18. EUI
  19. AD ANGVEARES SECFFOHES.
  20. AE
  21. (Terria.
  22. enaria.
  23. Ouinta.
  24. Sexta
  25. Seprima
  26. Octava
  27. Decima
  28. In nocis sie minima educta r. secunda LN. Erit
  29. e
  30. F 1
  31. 102 +
  32. QCC = 7CC
  33. acque itannicarem radicem cum sibi proximo juneendo, m sicumque cum proxime deinceps se-
  34. enci componendo, creabuncur reliqur adficientium mulciplicrum numer insinitum. quos stubet
  35. avella ob oculosponere; id quidem factu facile fueric, quemadmodum à nobis prasticum est pracedenet
  36. proposiione.
  37. T H E OR FM A VTI.
  38. Si a rermino diamerri liumantur in peripheria CirCHs Patles uCuu
  39. aquales, _ ab ejusdem diametri extremis educantur rectae ad lingula le-
  40. ationum puncta: exicuc semidiameter ad subrenlam parcium aequalium uni.
  41. Careliquarum quae libet ab alcerurro diametri termino educta, praeter dia-
  42. Metrum, aur diametro proximam quum in iplassectionesincidune ad diffe-
  43. eneram duarum a reliquo ejuldem cermino eductarum ad sectiones libi
  44. rinque PFOximaS: ac ita diameter ipla quum in sectionem aequalem inci-
  45. ac, vel quum non incidic, eiproxima in sectionem incidens ad summam
  46. alarum ab alcero diametri cermino, ad proximas utrinque sectiones edu-
  47. ctarum.
  48. Circa diamerrum AB, centro C, describarur circulus cujus peripheria secetur in par-
  49. ao quOrCUnque aquales AD, DE, EF, FG, OFL, HIB, BI, educancurque rectae à punctis
  50. R ad Cingulas sectiones, suIacUT aUCEM _ AK ip (I AD quoque aqualis, e duCanEUE
  51. Ect HL, GL, OH, PK, FK, DK, AK, lrque semidiamerer C H, de Secerrecta C. L diame-
  52. crum in L puncto.
  53. Duoniam isicur recta Hlangulum
  54. BIL bitariam dividens, bas perpendi-
  55. cularis eH, cric criangulum BIL. ilolce-
  56. Cs, et limile triangulo HCB: est au-
  57. cem criangulum BLI simile criangulo
  58. BAL, est icaque G A L. criangulum
  59. ilolceles, _ latera GA, AL aequalia.
  60. VEAuTeM C HL ad FIB, ita HIB vel BI ad
  61. BL differentiam lacerum AC, AB. Si
  62. milirer quoniam anguliGBF, F. KC
  63. aequales luncangulo HCB, (illi siqui-
  64. dem duplae peripheria in circumte-
  65. renria, hic simplae in cenero insictir.)
  66. angulique KEB, BOK aequales angulo
  67. CBH, aequalibus insistences circunte-
  68. cenriis. SCCenE sC reCtA CK, EBin M,
  69. erunr criangula FKM, CBM Similia
  70. ManeulO HCB, _C UEHC aAHB, ica CB ad CM disterenciam iplarum C K id cAt FL A
  71. equalibus nam que lubrenduntur circumferenciis) et E K id CA AF (quae xquales quoque
  72. abrendum circum terentias.) Fodemquemodo. Secent serectae FKL, DB inpuncto N,
  73. Alnerriang ula FBN, DKN, aequicrura ec limilia crianoulo H CB, _ WT HC ad HB, ica
  74. bad FN d. Herenciam subrentarum FK, DK, id estuc supra C. A. P. A. Similicer secentse
  75. ACLAEK, AB in puncto O, exiique HC ad HIB, ira FB ad FO diftereniam rectarum
  76. , AKid CstFA, DA. Fodemque modo, demonstrabitur ese ur HIC ad HIB, ita C A
  77. 2
  78. 1CCC - 890C., 21QC = 20C +58

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 297. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0303?run=74