Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 334

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. O
  2. N I
  3. cui eriam aequale est id quod sic sub BG, BF, ideo puncta D, G, F. FL lune MCttculo, et an
  4. Sulus D G B Agulo FHB est aequalis, ac angulus G D B id etF COMHCCCHdO E F angulu
  5. GEF anguloHIFB. Vcerque igicur, sire angulusGFF, live angulus sDcematur à duo
  6. busrectis. Ec angulus quidem CFF incriangulo CFF, relinguet alsulOSLBF, EF C; al
  7. oulusvero HIFB in trianguloHIFB, relinquer angulos B, LBFL. LrunEISIEuT angu
  8. FOF, EFO Smul juncti angulis FHB, FBHL simul junctis aequales. Sed aligulus FGF a1
  9. Gulo FHBolentus est aequalis. Leaque angulus religuus F. FC angulo reliquo FBH erit X
  10. qualis, acque aceo similia crune rriangula CDB, CFF. lub codenre terrice. Unde ac
  11. leripri circuli duo, unusper puncta GFF, alcer perpuncta C,DB. sele contingene in
  12. rangensin 6. Ouod erac Faciendum.
  13. communi verrice. Deleriprus et e pet D. Aculus DBC, circulum CF
  14. Temma T.
  15. Proposiris duobus circulis, invenire punctum in jungentepsontra a quo
  16. cum ducetut que vislinea recta ipsos circulos secans, similia erunt secmenta.
  17. Provonaneur duo circuli ABC, EFC, _C MEPTMMTCCMLE K, LCCHICA L., CC jungaEI
  18. HL. Oporcer in K L. invenice punctum à quo cum ducerur quaerislinea rectà clcu
  19. ABaEuE enim quaer
  20. MGF CB SecanS cirCUII
  21. ABC in punctis B, C, circu
  22. TUM verO FFC in punctisF
  23. C de sinc puncta sectionui
  24. B, Fad ealdCTH PArEeS, UEDC
  25. re remotiora ab ip (OM, put
  26. Cta vero C, cidem V.
  27. BHO PTOPIOTA, X COnBC
  28. ctantur BK, CK, FL. L.C
  29. Tcague constieuuneur duc
  30. criangula BKC, FLC. Ou0
  31. niam igitur est RMI ad L1
  32. ex constructione, (IcuI L
  33. ad FL, erunEBK, FL pacalle
  34. et sicuc K C ad LC, erunc K C, LC parallela. et angulus H C B angulo L OF xqualis. ua
  35. re d angulus reliquus BKC, id est circumferencia BC, angulo reliquo F LC, id est circtt
  36. Ferenicia FC. est aequalis. Acque adeo BC, FC similia circulorum, ad quos percinene, e
  37. gmenca. Propolirisigirur duobus circulis ABC, PFC invenrum est in HL junsente ip
  38. rum cenira punctum u, a quo cum ducerur quaeris re cta lincaipsosse cans, lmilia erli
  39. Ccgmenta. Quod Faciendum crar.
  40. Lemma II.
  41. ABC, EF C lecans, similia
  42. erunelCBImenFa. SeCCTUFRL.
  43. vel producatur in MI, uc (
  44. RMI ad LM, BCAEAK ad FL.
  45. Dico cum à puncto M du
  46. cerur linea recta circulos
  47. ABC, FFC secans, Cimilia
  48. FOre ipCOTUM LCGMENCA
  49. la, ee anculus HBC angulo L FC aequalis. A. que, quoniam KM ad L. M ex construction
  50. Sit andCr unus ABCD, alter LFOF; juncens aurem eoraco Cenrra XL)
  51. cet circulum primum in A, D: secundum vero in F, in ea suatur M pun
  52. ctum, a quo acta MCFCB recta secet circulum primum in B, C, secundum in t,
  53. ex sine similiascemenca, es puneta quidem sectionum a. P sini remoriora ips
  54. labcer
  55. sesK
  56. midiar
  57. e
  58. tum
  59. vero e
  60. Carum
  61. inne
  62. Abren
  63. it
  64. aue
  65. dMC
  66. uodF
  67. 1
  68. erec
  69. ter
  70. uncu
  71. B
  72. de
  73. enre
  74. Heces
  75. Pum
  76. on

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 334. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0340?run=74