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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 378

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: 0.81.

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

The machine reads it as

  1. V AR EORVM DE REBVS MIAT FE A A FFCTB
  2. pri. Scd _ cirCUMFerenEiA BDC dupla CA Ad CIFCUIFETEDEIAI BEC. Rectus enim et
  3. angulus BLIC, cujus amplicudinem detinivie circumtetentia BF. C, quadrans ideo rori
  4. cixcumtetenrixe lui circuli, de similis circumferenta DGC. Dicoiraque lunula DBEC
  5. rectilineu extriberi aequale. Subcendantur enim BC, DD, CD, Ac criangulum rectar.
  6. gulum BBL. Er quoniam Similes (UNECITCU FerenEa BFD, DGC, BEC, lacetA BD, DC
  7. non secabine circum ferenriam BF C. Circuli aulem, circulorumve similes sectores,
  8. miliaque legmenta sune ue d diamerris quadeara. SeGmencum igitur F BC duplum ett a
  9. scomenrum FBD seu CDC, e illud haecambo adauat. Ec vero criansulum BDC a
  10. Ferr a lunIA SCGMENTA FBD, CDC, adlumirverO LESIENEuM FBC ca 2d aquans. Lui
  11. Ix itaque DBEC exhibecur xquale rectilineum, criansulum videlicer rectangulum DBC
  12. Ouodtacere oporrebat.
  13. Non distimilimechodo quadeabirAnalysta lunulam conctaram excircum ferenciis duo
  14. rum circlorum existentium in ratione uspra e quadcupla alicerve mulcipla, edoctus pr
  15. 7C
  16. PROPOSTTTO TTI.
  17. In circulo duas eircumte-
  18. FENEIAS LIETC exISENECS I
  19. ratione cripla, in qua eciam se
  20. habeane rectarum, gux ipls
  21. CircumFerentiis SUDEENdUINEUE
  22. quadrata.
  23. Exponacur criangulum rectansu
  24. lum ABC, habens angulum ad C
  25. rectum, angulum vero ad A erien.
  26. rem recti. FA igitur quadratum ex
  27. BC ad quadratum ex AC, uC unuI
  28. ad eria. Produestur aurem BC in
  29. D, Polica C D aequali excessui que
  30. AB hyporenula crianguli praectat
  31. AC balI, ec lumatur media prOPOF
  32. tionalisinter BC, BD, _ SIcBZ. Sum-
  33. Pro denique quovis centro de inter-
  34. vallo aequance BC perpendiculum
  35. expoluci crianguli, describarur circu.
  36. lus, in cujus circumterencia in scet
  37. baneur rectae FC, GH, II LipEB
  38. aequales, de subrendatur FI. Est ie
  39. tur circumferentia P L ad circumte
  40. rentiam FC eripla. Dico Cimilicet
  41. quadrarum ex subcena F. L ad 9u4
  42. dracum exF C ese quoque rriplum.
  43. Rgacurenim diaMeteE FMI.
  44. Ouoniam circumferentia FG FL L
  45. eripla est ad circumterenciam FC.
  46. ideo est FC ad FI, Sicur quadratue
  47. Cx FM ad quadrarum erip lum ex FMI
  48. minus quadraro quadruplo ex FC
  49. Id enim expolitum est in Analycicis
  50. angularium sectionum Zecerice
  51. Theorematis quarri. Fcideocum l
  52. FC constructa ip(BZ aequalis, FM
  53. vero dupla ipsius BC: est BZ ad F
  54. (ICMI
  55. oreltionem subrenlarum. Deinde opusrerexenei licebit per synthelin (urijam in racte
  56. necripla e quadrupla cdo exemplum,) cuum invenrum ordinare.
  57. Ceut
  58. quadr.
  59. Plum,
  60. BC. C
  61. AC. LX
  62. ur ura
  63. lia F C
  64. deatum
  65. e
  66. mulart
  67. Lxp
  68. hcli
  69. ctate, v
  70. arigoni
  71. aucem
  72. CHI
  73. uo
  74. Neripe
  75. Madrar
  76. Srric
  77. llemi
  78. conttir
  79. ECHI
  80. ala
  81. em.
  82. cemen
  83. Pemene
  84. duen
  85. H
  86. HC
  87. Cemene
  88. peum
  89. aci
  90. bac
  91. elle
  92. tam e
  93. ad duo.
  94. ilter
  95. lectitin
  96. Pl na1
  97. elle
  98. lnci
  99. in
  100. NEur

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 378. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0384?run=74