Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 292

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: 0.85.

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

The machine reads it as

  1. PNEOREMAZA
  2. E Y E Y L C Y M.
  3. In circulo duas circumterentias sumere inratione muleipla data, in qua
  4. etiam se habeane rectarum gux ipsis circumterentiis (uBEENdUNEF qua
  5. drata.
  6. Sit datus circulus qui supra, ABFI, cujus diametex EE AFI, Cemidiameter BI, duCarUE
  7. que re Eca BH _ sinc circum terentia AB, AC inrarione dupla, AB, AD in racione eripla
  8. AB, AE. inrarione quadrupla _C. eric igitur BLad BFI, uc AB ad AC, proprer similicudt
  9. BEI in AB
  10. BI 3 ic2
  11. BII in AB
  12. 20
  13. BHg. in AB g. = AB q. in BI4.
  14. ABin BI9.
  15. BEI in AB
  16. B1
  17. aequabitur ips AC. UE aurem AB 2C
  18. BII g. in ABg9.
  19. ABin BIg. quod mulcatum ipta AB, dac
  20. Ld
  21. id ct
  22. BI9.
  23. =equale ip ( AD, ex
  24. Praecedentipropolicione. Psicur uc BI g. 2d BH q. = BI q. ita AB ad AD: vel quoniam ett
  25. AB44. AB4 in AFI 9. -. AB49.
  26. UEAEI ad AB, ita AB ad BK, quadracum igituEBK, erie
  27. AFI9.
  28. AII9.
  29. aquabituE A K quadrato: et ABg. in AFI 9. 4. = AB99. 4. aequabitur A C quadeaco:
  30. AIIg.
  31. ROCauteM ex prxcCdemi Theoremareaquale est ipsis ABg. F AB in AD. Ablaco isicll
  32. BEI in AB
  33. et
  34. 11
  35. AFI9.
  36. BBg. in AFl 9. 3. = AB94. 4 aequabirur AB in AD: ee hisce
  37. AFI9.
  38. A B 9. in AH 9. 3. = AB 99. d aquabituE AD, id et
  39. ABin AH g.
  40. =erit iBituEUE AF 9. ad AF9. 3, = AB 9. 4, ica AB ac
  41. BEI in AB
  42. AFZ aequale ip( AR, et e
  43. BII in AB
  44. BFIg. in AB4. id
  45. et
  46. BIIg. in AB
  47. AI ita hoc 2C
  48. AB in AI9
  49. ALg. : hoc aurem minus AB aequatur ipsi BFI4 in AB - AI 9. in A
  50. AI9.
  51. id cA ex prademonstraris ips AD. CA quoque uE AB ad BFL in P B, iet
  52. BH2 g. in AB - A I g. in AB., EB cub. in ABg. = BFL in ALq. in AB 4. id eMt
  53. AI9.
  54. BE cub. = BIIin AI9
  55. AIcab.
  56. AB in AI. cub.
  57. in AB, quod mulcacum ipta A C, ret BHL in AB id est
  58. BEEcub. in ABin AI =BHin AI cub. in AB2. BEI Cab. in AB -BFL in AIg. inAB2.
  59. AI99.
  60. AI. cub.
  61. aquatur ip ( AE. ur igicur AL cub. ad BFI cub. = BFI in AI. 9. 2, ita AB ad AF. CadeM
  62. que mechodo lumentur et alix, pro ratione mulcipla data. Ouod erat faciendum.
  63. que huc perrinet Analyricum illud arrificium generale quadrandi lunulas, quod acc
  64. Viera Libro rariorum 8o, cap. 9n
  65. P E P O R B NE A V
  66. Si a cermino diamerri sumantur in circulo circum terentix quorcunqua
  67. aequales, e ab altera extremitate cducantur rectxe linex ad sumptarum ct
  68. cumterenciarum aqualium cerminos, eric uc lemidiamerer ac rectamas a
  69. dicta
  70. e
  71. lumr

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 292. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0298?run=74