Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 147

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: 0.79.

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

The machine reads it as

  1. Xqua
  2. F. pla
  3. Epla
  4. 10di
  5. ilI
  6. FuIV
  7. AeL
  8. etI
  9. esse
  10. 4000
  11. ICFI
  12. +6P
  13. +4Q + 72ON - 1 B, aequatur 160
  14. A OY A F FO N V M.
  15. plano. a = Z placio plano + IH E quadr. aguetI B Colido-(OLIdO. FEE INHOTCICaL
  16. CACD. D in A - A quad ae quabitur D quad. = - C plan0 =
  17. 3. sit L+1OML. 1C. d8O= 4464 1, aqua
  18. Tur 528400. sit 2_ L44. Gunatum ab512. 12N - 1 9, aequatur 20. fit L N 10 vel 2.
  19. L A EOR E M A VI.
  20. plano- plano; F quad. cubus = G plano + in P quad. quad. +2 plano plano+
  21. Cplano. plano + In P quad., aequetur B Colido. Polido. FF Finnorelcac eNCD. D in
  22. A - A quad, xequabitur D quad. : = C plano = do
  23. 11 4 B - 12ON =9 C, aequatur 200. es sit LN 2 vel 10. 2C -228 0 + 12196N,
  24. aequacur 14400. fit 2 N 144. quad. abs 12. 12. -= 2 8, aquarur 20. fic L. N 10 vel 2.
  25. T E E O R F M A VTI.
  26. SFB Colidum in A = G plavo 2 in A quad. = A quad. - quad., Xquetu Z
  27. Plario. plano, e F quad. cubus + G plano + in F quad. - guad. = Z plano. plano 4
  28. + C plano ptano + II P quad, ae quetur Bsolido. solido. FF P innotelcat esse D. D in
  29. A - A quad, xquabitur D quad. = - + C p lanO =B Sonae
  30. 144ON = 16 9 - + 0O, aequatur 2800, e fit + N 10 vet 2. TC- 32 9 - 10944 N,
  31. aequatur 2073600. 87 fit 2 N. 144 quadratum abs 12. 22. N - + 9, aequatur 20. 8 fit L N
  32. 10 vel 2.
  33. Ad poleriorem aurem Formulam perrinent quae sequuneur.
  34. T H E O R E M A T.
  35. Secundum posteriorem Formulam.
  36. A quad. = quad. - + G pLanO in A quad. - + BColido in A, XquCtuIE Z pla.
  37. nO-planO, _ F planI-CubUS -Gplano in F plani quad. t Z plano 4 in
  38. Eplanum, requetur B Lolo- (olido-F Z. plano= plano 4 in C planLM. FF
  39. ItHOTCICaEE planum eAC F planu. A quad. + V Eptani = Cplano iM A, Xqu a-
  40. bicur
  41. c
  42. F plaMO :.
  43. 200.7 60 + 88ON, aequatur 1800. fit LN 2.
  44. 2C-- 60 + 720ON, aequatur
  45. 817600. fit LN70. 70- 6 est quadratum abs8. 19 F 8 N, aequabitur 20. fit L N 2.
  46. T H E OR E M A TI.
  47. Et A quad. quad. - F C plano in A quad. = B Colido in A, aquetur Z. pla-
  48. Dno plano, dx P plani cubus = G plano in P plani. quad. - L Z plano- pl2-
  49. no + in E planum, aequetur B solido- Colido-i Z plano- plano + in C pla-
  50. NUM. EEinNOTCSCaE F planum eNC F planuM. A quad. = Y xplani - C plano iM A,
  51. aequabitur
  52. SELIIS
  53. =FplanO =.
  54. 109 + 60 - 8BON, aquarur 1800. fIt FN10, 1C -69 + 720ON, aqu a1uT 81760O.
  55. sit LN70. 70 - 6 est quadracum abs 8. 1O - 8 N, aequabitur 20. fit L N 1O.
  56. T H E OR E M A III.
  57. 2T A quad. - quad. = G planO I A quad. t BColido in A, Xguetur Z pta
  58. Ono. planio, s P. plani- cubuts. C plano in P plani quad. t Z plano- pla-
  59. no+ in Eplanum, aequetur Drort Tolido - Z. plano. plano 4 in C planum.
  60. LMnOTCICAEAULCM EPTaHUm CNC F pLaMUM. A quad. - F N F ptani = C plano in A,
  61. =F plano .
  62. equabiE colido
  63. F Plani a

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 147. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0153?run=74