Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 320

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: 0.82.

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

The machine reads it as

  1. 3L
  2. AD ADR. ROM A NE PR OBE E A A
  3. Rurtus in circulo cujus Acenrrum, diamerer BC, sumantur circum ferenrix aequales
  4. CD, DE, EF, FG, GHI, FL, IK, et
  5. Subrendanta CD, BF, CF5D3
  6. 21
  7. CH, Bl, CK. C
  8. CF, e religua. ut elt ordinatum
  9. in secundo ad resoluriones Theore.
  10. MaTe.
  11. Sit AC sert Lrea
  12. allcti
  13. concinue ploporcionales ca lecta,
  14. quarum pruna sic spu sensretatselio
  15. AC aequalis, secunda ips CD. FxIE
  16. prima bis Cohrinue proporctolsau
  17. minus celcta aequalis ipl BL.
  18. Secunda cer minus guarra aequalis
  19. 100,000,000
  20. 20,000,000.
  21. Ci seu secunda
  22. Terria
  23. 806,600.
  24. 160,000.
  25. 32,000.
  26. 6, 400.
  27. 13 280.
  28. ipsa (CD Y.
  29. (BF 196,000,000. vero ICF XI.
  30. 59, 200,000. Circn - CF XVII.
  31. XILI
  32. Iiaque erit) BG 184, 260, 000. feren. LCG ZZIT. LVII.
  33. recta VL 96,032, 000. HR CH ZXXVIIT. XLT.
  34. BI 164, 953, 600. semis-CI XXXIY. XXVI.
  35. CK 129, 022, 720. Ses. (CK XL.
  36. COROLLARErM II.
  37. 2.
  38. Ouoniam aurem eadem recta circulo inseripea non diameter duabus circum,e
  39. rentiis subtenditur, quarum una minor est semicircumferentia circuli, altera ma-
  40. jor. Aqualitas inter subrensam minori majorive, ex subtensam sermentomino
  41. rispertinebit ad subtensam quoque simili sermento majoris, es ad subtensas dent
  42. que reliquis circum ferentiis quae aeque mulsiplices majorem minorem- ve in circh
  43. bationibus component.
  44. Aeque hine TheoremariahXeC.
  45. Staruitor Xsinus rorus. B vero sinus duplus anculi subsecandi. Z5 esto F. sinuo
  46. duplus sermenti.
  47. TE EOR EM A TFON L
  48. X quadra L LCudo aquatt aguaatato En B. F. pt L anpick. i sin
  49. duplus anguli subrripli. ii sinus duplus differentia inter anculum subtriptume
  50. trientem duorum rectorum.
  51. innoris ZN = +C, aequetur a 2. Ouoniam posito L sinu torO, fit V 2 sinus duplus aneuli par
  52. sium X EP, ideo L N est sinus duplus angulipartium XY, vel eriam est sinus duplus anguli pareium. I LH
  53. Erit isitur L Nradix binomia 2 = V 2. Vel etiam N 2.
  54. 3N = 2C, aequetur 1. Ononiam posito L sinu roco, fol 2 sinus duptus anguli pareium X X X, ide
  55. aN est sinus duplusanguli parcium X, vel etiam est sinus duplus anpuliparcium L.
  56. XLIV.
  57. P A RF. SCRVD. SBC.
  58. XL.
  59. CL.
  60. X
  61. Ouaria
  62. e Duinta
  63. Sexta
  64. depolicao
  65. Octava
  66. C
  67. XZVXTI.
  68. 4,000,000.
  69. ad
  70. qua
  71. t
  72. 113
  73. er
  74. Vel
  75. 10
  76. qua
  77. dis
  78. d

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 320. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0326?run=74