Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 394

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. 394
  2. V AR LORYM DE REBVS NIA TH EMA LLCLS
  3. 10
  4. Si deseritatur helix, CrjuS pPInCIDIUM SIE in Una CXHTCHMICaC diaMCEEI
  5. alicujus cirCMI Guadrans rero principii conreo spIa Mantclet; lc.
  6. cipiohelicis. Alcera continsenshelicem in quadrante principii convertio
  7. nis. leaque dua illa linex rectae una cum diametro circuli criansulum re-
  8. ctangulum describane, cujus balis sic ipla diamecer. Prit alticudo crianguli
  9. Cemi. perimetro dati circuli aequalis, iplum rero criansulum circulo ae quale.
  10. Sic circulus ABCD, cujus diamerer BD, d deseribatur helix, cujus principium B,
  11. quarra vero pars principii convertionis sic BD. Sele aurem muruo se cent dux linex recta
  12. in E. Itna circulum conringens in B, altera contingenshelicem in D. Ieaque dux illae li-
  13. Dea reCtA BE, DE. una cum diamerro BD eriangulum F. BD rectangulum constituaNE, CU
  14. jus ba(iS(FB D. Dico alticudinem E. B circum Ferentiae B AD, id est semiperimetro dati
  15. circuli ABC. D este aequalem, acque adeo iplum criangulum E. B D daco circulo ABCD
  16. esse aequale.
  17. CeneroenimB, incer
  18. vallo BF quadruplo 2c
  19. BD, describatur circulus
  20. FHOF quadrilectus
  21. duabus diamerrisHIBDI.
  22. FEBG. IEaquE BFGCprin
  23. cipium rerolutionis hel.
  24. CIS, CUjuS CONFIHUETEII
  25. prima revolutione de
  26. Ccrixrio. Sed de centra
  27. B incerrallo BD delcri
  28. bacur circulus cerrius
  29. DMTTO.
  30. Per ea isicur quae de
  31. monstraca lune ab AFcH
  32. mede XX I propolicione
  33. neet Exinco recta BI
  34. quadranti eorius circum
  35. Ferentix DMI N O est a
  36. qualis. Guadrans autem
  37. eorius circumterentia
  38. circuli DMVIO est equa
  39. lis semiperimerro circul.
  40. BAD. Perimecrienim cie-
  41. culorum sunE, ve iplo-
  42. scBD, esler aa ee e prooo pa ntet uerenor ninns. Lriau
  43. SUlUm IGITE RECLAHSCIILHI L BD, CEE Lquase Quacatri circuli D M N O. Sed quadeana
  44. SC IVTe MUEIOSCCCMCMa linCX FectX. VHA CHCMIMM. COI CH in prin-
  45. rum diamerri. Diameter vero circuli D MI NO est dupla ad diamerrum circuli AB C D.
  46. lraqi BL ectaequalis semiperimetro circuli ABC. D. Ouod erat primo loco ostendendur
  47. Friangulum porro rectangulum cujus alcirudo elt quadcupla ipsius BE, immucata b
  48. circuli D M HO qutalis elt circulus AB C D. Circuli enim lmiles luneiis, quae à dime
  49. riencibusillorum delecibuncur, quadraris. Frianculum igiru lectansulum F.DD circul
  50. ABCD ellaequale. Ouo decat secundo loco oMtendendum.
  51. euju
  52. dan
  53. qual
  54. alix
  55. ecr
  56. lex B
  57. auiju
  58. SAEI
  59. 82
  60. eu
  61. id
  62. sed
  63. fere
  64. nit
  65. eium
  66. ncer
  67. 2B
  68. e
  69. Prime
  70. eun
  71. lu
  72. P2
  73. Cres
  74. cia
  75. ec
  76. que
  77. Ee

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 394. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0400?run=74