Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 380

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 ARTORYM DE REDVS NIAZH EMAFTCIS
  2. Exponatur rurtus ertargulum rectangulum
  3. rali ips A C describatur circulus, cui MHlCribanEuE PO, OR, RS.
  4. iphMLN equales. Esigirur circumferentia P F ad circumferentiam PQ quadrup
  5. Subrennatur aurem P F. DiCO quadratuM C WVICBCA P P esse quoque quadruplua
  6. 380
  7. D
  8. quadrari ex subrenta PC, id est, 10lL L ae uinem P Oesse duplare
  9. RBatUF enim. dia-
  10. MetEE DOX,
  11. Cubrendatur OX. Et
  12. igieur 9X aequalis
  13. compolIIX ex L R,
  14. R F _ quoniam cit
  15. CUIMFCFENLIA PORSZ
  16. CA quadrupla ad cir.
  17. cumterentiam PO
  18. ideo est subcenta PC
  19. ad SubrensaM PP, SICUE
  20. cubus ex PX ad cu
  21. bum octuplum ex 3.
  22. minus Colido quadeu
  23. ploCub OX X quadra.
  24. CO Cx PX, VEL (ICUE CU
  25. ctionum Zererico TheOremat
  26. Quarti. PFOPOlICa auce quavisset
  27. quatuOr continue proportiond
  28. lium, cubus compolita c meduI
  29. xquar Colidum sub compolica
  30. extremis et rectangulo quod lul
  31. iidem sr vel mediis, plus criplo l0
  32. lido sub eadem compolica e me
  33. Ita
  34. diis de praedicto rectansulo
  35. c
  36. que cum OZ COMPONACUS
  37. duabus mediis continUC prOPOt
  38. tionalibus inteF EF, FC, Tub gu1.
  39. bus quod sc rectangulum aqua
  40. le est quadrato ex HIF, id est du
  41. Plo quadrato ex BC; sexcuplum
  42. aurem quadratum ex BC ralet
  43. duplum quadrarum ex AC. Cu-
  44. bus ex CZ, mulcacus Colido du
  45. plo sub OZ _ quadeatO ex PO,
  46. c
  47. ACB, habens angulum ad C rectum; angu
  48. lum vero ad A crientem recti. FF ex AC abscin
  49. datur C D ip A B C aequalis, _EjunSIEUEBD
  50. Ad datam vero F. C compolicam ex tripla AC.
  51. ur adgregarum exrremarum in serietrium.
  52. nearum rectarum continue proporrionalium
  53. _x daram quoque FIF ip ( BD aqualem UE me
  54. diam erium illarum, inveniantur exrremae Ll
  55. FO. EEruTIUS InECFIPCASEF, FO inveniantu
  56. dux medix continue proporrionales LR, R
  57. Cum aucem quadracum compolicae ex L. KE, L
  58. duplae AC, relingUAE QUadTATIM ex MNI. EF CenErO O, incerral
  59. bus exP Oad cubum ex QX, mi
  60. nus Colido duplo (ub OX d qua
  61. dFatO CKPO, per ea quE expOLII
  62. sune in Analyricis angularium le
  63. id el
  64. Pla A
  65. AC
  66. lieur
  67. I1I3
  68. eum 1
  69. Pla I
  70. Det
  71. sabrer
  72. eileur
  73. clarie
  74. unum
  75. Mcer
  76. 1b
  77. Putiat
  78. Quacr.
  79. qued
  80. AC C
  81. eripri
  82. cumte
  83. Aeder
  84. Ex cir
  85. d du
  86. dcux
  87. aeei
  88. Aale
  89. deum
  90. inser
  91. PP
  92. um
  93. Dla P
  94. eranrr
  95. u
  96. e
  97. lorur
  98. Mope
  99. quad

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 380. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0386?run=74