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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 354

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: 0.84.

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

The machine reads it as

  1. DAYM DE REBYS MA
  2. TE AE A ZTCFS E
  3. Etangula TUNE FFB, DFC. I
  4. suli enim ad F recti lunc. SC
  5. ec anguli FBC duplam an
  6. plicudinem detinie circumt
  7. rentia C GF. C on(equen
  8. anouli exrerioris, videste
  9. FBE amplicudinem doplat
  10. definie circumferentia FBL
  11. angulus ioieur FBE anouL
  12. FCD est aequalis, de reliqu.
  13. reliquo. Ouarecriangula F. L
  14. DFC Cimilia Cunc. Ip(I auEC
  15. E FB Amile est criangulu
  16. FFIL, quia paraIlela (UNEFB
  17. FIL, Orraque SECANS FC DC.
  18. pendicularirer, HXC Cx, CON
  19. structione, illa ex ri circuli
  20. F. siBIEFUEFD adDO, i
  21. EFI ad EL, _VEFFad FB, 1
  22. EFI ad FT. FK aurem VE L
  23. ad EB, ica EB ad FH, p
  24. prec criangulorum quoq
  25. EFB, E BEI similicudine
  26. Ouare proporrionales
  27. COntinHE EF, EB, FH, L
  28. Sed ex rarione paralletaru
  29. eAt quoque uc BD id est L
  30. ad EB, ita FTC ad FFL. Oud
  31. HIC, E B suneaequales. Dic
  32. EI quoque aquari BC.
  33. In crianoulo enim EBC Ob
  34. dracum ex HIC scu FB. Ouadracum igitur ex FFL una cum eo quod EEIUbEFI, L. B
  35. LquatUE quadrATO Ex BC unacum eo quod lir sub FB, BC. id est, aequarur tacto
  36. BC _ CompOlITL exE B, BC. Sed quadratum ex E. FI valer factum suB EB, EI. FaCtO
  37. rem sub FF, EB bis, aquarur tactum lub EF, E. l bis, Factumve sub BC, EI. Ouare L
  38. ctum sub EL e compoliTa ex FB, BC, aequacur Facto sub BC e composica ex F. B, BC.
  39. ixirur BC aequalis F.L. ee sunr concinue proporcionales EF, E.B, F HI, BC. Sed etaTULL
  40. adEB, ita FD ad BC. OHaEC FD quoque est aqualisip sI F. HI, de AunE continuC prOPC
  41. rionales EF, F.B, FD, BC. PrimX autem EF exrrema BC eA dupla. F. st enim B C. diamete
  42. e ipla F F Constructa est semidiametro aequalis. Constructa luneisitur quaruor linea l
  43. Ax continue proportionales EF, FB, FD, BC, quarum extrema lune in rasione dup
  44. Luoceacaciendum.
  45. dutem Plechanice bene obvia es absolvicuruna, quo d ajune, circini adaperiura.
  46. Sit F. F 100,000,000.
  47. Eit F B 125, 992, 105.
  48. FD 158, 740, 105.
  49. CB 200,000,000.
  50. II. Eysisa
  51. III. Extisa
  52. liquangulo, cujus alcieudo CD, qu adratuI EX F. C aequale cA quadratis ExBC, F B si05
  53. lis, una cum eo quod sc lub E. B, BD bis. Iplum vero quadcatum ex F. C, aequale quact
  54. FISCxEHL, ELC lingulisuna cum eo quod HC sub FFI, FTC bis. Verinque aufetatur qu
  55. IV. arpibcos
  56. E X O A YO N.
  57. Cum juberur arichmericus inter L e 2 exhibere numerum medium proporcionalem. ille vero re
  58. sponderit non exhiberi, quoniam numeri extremi L es 2 non sune similes plani, cam apre in ex hypota
  59. solvis Problema de uno medio, quam si jubereturinter L es 4 exhibere medium proportionalem.
  60. hibueritu
  61. Cor
  62. da
  63. Is
  64. tq
  65. 1B
  66. vist
  67. qua
  68. prop
  69. Po
  70. Pere

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 354. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0360?run=74