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Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 296

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. E E O R E M A
  2. E I E OR E Mt a VII.
  3. Si a puncto in circuli circuMFerentia SuManEE Partes quotCU que X qua
  4. les, eab eodem educantur rectxe lineae ad sumpearum circumterentiarun
  5. aequalium cerminos: constitratur autem leries linearum rectatUM COnt-
  6. nueproportionalium, quarum prima sic xequalis minimxe eductx, (ecunda
  7. aminima (ccundae, is reliquarum eductarum ordine luccedentium exlepro-
  8. Srectus.
  9. Fertia continue proportionalium, minus prima, erit XqualisFerriX.
  10. Ouarta minus secunda bis, guarrae.
  11. Duincaminustertia cer, plusprima, quintxe.
  12. SCZEAMIHUS GUaFEa GMaEeF, pIUS SeCUNdA TeF, CCXEX.
  13. Septimaminus quinta quinquies, plus certia sexies, minus prima, seprime.
  14. Octara minus lexta lexies, plus quarta decies, minus secunda quatet,
  15. Octava.
  16. Nonaminus seprima sepries, plus quinta quindecies, minus cerria decies,
  17. PluS Prima, RONX.
  18. Decimaminus octara octies, plus sexta vicies e semel, minus quarta vi
  19. cies, plus secunda quinquies, decimae.
  20. EE ica in infinicum uc per loca proportionalium imparia nova adtectio
  21. SuCCedat, aHIEAEX neSata, negaEX adtirmata: e proportionales illa lill
  22. semper alcernae, ee mulciplices quidem in prima adfeccione per unicaltu
  23. crementum, in secundaper numeros criangulos, in FCxFIA PEF NUMErOS P)
  24. ramidales, in quarca per numeros criansulo. criangulos, in quinta per n
  25. roscriangulo. prramidalesi ab unitate, ut in porestatum genesi, luum du.
  26. CenteS InCreMeNTUM.
  27. Sirperipheria circuli secta in parces quorris aequales ab a ssumpro puneto aliquo, à qua
  28. ad aequalium circumterentiarum cerminos educancur rectae, quarum minima (IC L.
  29. hac vero secunda B. F. Kixirur ex Theoremare quareo ur prima ad secundam, ira lecunc
  30. B
  31. ad compoliram ex prima de cerria: exic icaq;, cerria aequalis = 9. = L. d.. Eademq; mettio
  32. do quain praecedenriuli sumus reperiencur B C. - L, g. in B2: quarca.
  33. B99. -2. 9. in B9. 3. + Z 98. quina.
  34. B9c. -Z9. in Bc. 4. +. Z. 49. in B 3. Cexta.
  35. P. 49
  36. Seprima.
  37. B99c. -Z. 4. in BGC. 6. F Z49. in BC. 10. -Z Cc. in B 4. octava.
  38. L.CC.
  39. Bgec. - Z 9. in BCc. 7. F Z. 44. in B4915. Z. cc. in B4. 10. + Z gCC: nona.
  40. Z99C.
  41. Becc. 2 4 in B94c. 8. + Z. 99 in Bgc. 21. - Z. Cc. in Bc. 20. + Z. gcC. in B. 5. gecim 2.
  42. Z.GCC.
  43. Fademquerarione et religux proportionales in intinitum, co quo propolicum est mu
  44. do attectae, eduetisin circulo rectis equales producemur. Ouo derat demontranau
  45. de
  46. Menir
  47. abet
  48. oposiione
  49. acC
  50. ale
  51. ionum
  52. reliqu
  53. errum
  54. neam
  55. uinque
  56. 1
  57. Rrum
  58. deum
  59. iea di
  60. Moreur
  61. air
  62. t
  63. lE
  64. pon
  65. P
  66. Cim.
  67. +
  68. si
  69. d
  70. ibus
  71. endur
  72. cirin
  73. eF
  74. AKid

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 296. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0302?run=74