Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 79

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. lano
  2. bul
  3. IC
  4. vet
  5. b527.
  6. Qua
  7. alum
  8. quel
  9. cit0
  10. qua
  11. 10A.
  12. Ca1.
  13. ectat
  14. ico Z
  15. ndr2
  16. esset
  17. Duo
  18. eF II
  19. ce iB
  20. acUB
  21. eH
  22. qua
  23. et
  24. 1690
  25. s
  26. reriid
  27. 240
  28. EoFB
  29. naM
  30. (IF=
  31. icut
  32. 0b
  33. 1;d
  34. esset
  35. noc
  36. ne.
  37. InEL
  38. endo
  39. LEBER OV E N FVS
  40. elizendo a quibus lingulis quadrato dempro Z plano, Fociane quadratum, urhie faciune
  41. B quadracum dx D quadracum, e erie omnino expolicx equarioni locus.
  42. Sit Z. planum 40. F 7. C 11. fic B3. D9. Sumatur H24. fit A6. Primum latus +3. Se
  43. cundum 6. Tercium 23. Factum ex primo in secundum est 43 es dempeo 40 relinguiur 9. nume-
  44. rus quadratus, cujus radix 3. Factum ex secundo in tertium est 12T: es dempro 40 relinquitur 8
  45. numerus quadratus, cujus radix 9. Pactus ex primo in tercium est = 3 2 ex dempto = =, id est 40.
  46. relinguicur 42 C3, numerus quadratus, cujuoradiv
  47. L L L F FC V M IX
  48. Invenite numero crianculum rectangulum, cujus area adjuncta dato
  49. Plano ex duobus quadratis composito, conticiat quadeatum.
  50. Sic dacum planum Z. planum compolicum ex B quadraro ee D quadraco. L.Airigacut
  51. criangulum rectangulum. abs quadraco adgregaci lacerum B, D, _ GHACLAED MIILETCNEIX
  52. corumdem. Frpocerulaigicur similiserie B quad. quad. 2. + B quad. IW D quad. 12- + D
  53. quad. quad. 2. Basis B in D in Z planum 8. Perpendiculum B + D quaatalo in B = D qua
  54. deacum 2 Adplicenur omnia ad B + D in B - D quad. 2, Hec area Similis = nno
  55. Adde Z planum, quoniam B = D quad. + Bin DZ EquatuE B quadrato + DquadracO,
  56. id est aequacur Z. plano. SummaerieZ purostamm. Ouadracum a cadice oli
  57. Sit Z. planum 5, DI, B 2. Triangulum rectanculum erit
  58. hujusmodi Area36 id est 20. adde 5. Summa fit 25, C1-
  59. jusradix est 5.
  60. Invenire nutiero triangulum rectansu.
  61. lum, cujus area dimminura dato plano, con-
  62. ACIaE QUacLEaEUM.
  63. Sic datum planum L. planum, alIECEB IN DZ, L eHAnSaEuE errangulam reCtanoulu
  64. abs quadraco adgresaei larerum B, D, de quadrato diffFerenia corumdem. Hyporenula
  65. isicur limilis erie B quid. quad. 2 -= B quad. in D quad. 12. + D quad. quad 2. Balis B
  66. quad. in Z planum 4 D quad in Z planum + Perpendiculum B- r D quad. in V
  67. quad 2. Adplicecur omnia ad B- r D in B - B quad. 2. Fiet atea Girril15. ui . + B qurd. in Z olan.
  68. Auter Z. planum, quoniam B quad. + D quad. = B - D quad. valet L planum. R eliIL.
  69. quetur quadeacum à radice Z oumi
  70. Sit D 1, B5. Vnde Z. planum 10. Triangulum
  71. rectaneulum erit hurulmodi. area
  72. 10. Pelinguetur3 5 564 quadrarum abs radice
  73. seu .
  74. ZE FE FTCVM XI.
  75. E TELTCVM L
  76. in b
  77. chrenire numero triangulum rectansutum, cusus ale cunurum da-
  78. cum planum, conticiac guadratum.
  79. SA AIIII Planum L Planum, alicer B in D2. Flnsacur Marom eclatsum
  80. 2b5 quadcato adgresaci laterum B =L D de quadrato differencia corumdem. Hypo-
  81. renula igicur similis eric B quad. quad. 2 F B quad. in D quad. 12. + D quad. quad. 2
  82. Balis B quad. in Z planum 4. Y D quad. in Z planum 4. Perpendiculum B - D quad.
  83. n B - D quad. 2. AdplicenUE omnia 2d B = D in B- ~ D quad. 2. Fiet area Cimilis
  84. . Demacur ex Z. plano, quoniam B v D quadeacum = B quad.
  85. ad. vutb In D2. Relinguerur
  86. quadeaum à cadice; o
  87. Se v qual. 1

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 79. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0095?run=74