Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 146

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: 0.86.

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

The machine reads it as

  1. 146
  2. DE E M E N D A F EO N E
  3. Traque C plani cubus =C plano in E. plani quad. + Z plano. plano 4. in F plav., e qua
  4. bitur B Colido- Colido -r Z plan. - plan. in C plan. 4. P. planum aurem innorescar esse F. pla.
  5. num. TBituE
  6. XDI
  7. N Eplani - C plano im A, X quabIEK A quadr. F F. planO =.
  8. ErGi proponatur A quad.. quad. + C plano in Aquad. - B solido in A, aequari Z pla-
  9. no plano. R adix plana estingendi quadracistaruerur V Eplam eplano in A = 2 ao. - e vt 3
  10. comparanda F. plano Z. F A quadraro.
  11. EF E proponatur denique B Colidum in A - C plano in A quadr. = A quadr. - quadc.
  12. aquari Z plano plano. Radix plana eftingendi quadrari AatuCTUT, N Eplari - C plano
  13. in A. 1-
  14. Eptno comparanda F. plano = F A quadraco.
  15. Ficicaque omni casu reductio qua imperara est.
  16. Aclecurdum priorem quidem Formulam, ordinata lunt Pheoremata haec
  17. T E E O. R BM A F.
  18. Sccundum priorem Formula.
  19. EF A Quad. - quad. prato 2 in A quad. -t B Colido in A, XquetE Z
  20. plano planio, d CGllad. cubus- t C plano 4 in P quadr. - quad. L. Z plano plano a
  21. == Eplano. plano a iM P quad. xquetur B Colido-Colido. Innorelcar aurem L el
  22. (CD: Aquad. t D in A, a quabitur B Codo =D quad. Z = C plano.
  23. +O2, + 6. 9 i 88ON, aequatur 180O. _ fit LN2. 2C -+ 12 9. + 7236N, aquatuY
  24. 774400. fit LN64. quadratum a radise 8. 29. Y 8 N, aequabitur 20. fit LN 2.
  25. F _ E O R E M A TT.
  26. EFA quadr. - quadr. - +. C plano 2 in A quadr. = B Colido in A, XquetuEZ
  27. plano. plano, _ F quad. cubus t. CF plano + in P. Quad. - quad. + Z plano. plano +
  28. + Cplano phano a in P. quadr., xquetux Bsolido. Colido. FF P innocescat esACD:
  29. A quad.D in A, xequabitur 2 1ondo = D quad. Z = EplanO.
  30. 109 L69 = 880 N, aequarur 1800. fIt LN1O. 1C- F 12 D = 7236H, aequatur 77 4
  31. 400. fit L N64, quadrarum ab58. 1.9 = 8N, aquatur 20, fit LN 10.
  32. F A E OR E N A TTI.
  33. SF A quad. - quad. = C plano 2 in A quad. -+ B Colido in A, XGueFF Z
  34. plano. plano, e P quad. cubus = C plano + in F. quact. - quad. . 2 plano plano L
  35. C plano plano a in F quadr. aequetur B Colido-Solido. FF P inNOTeLCaLeNCD:
  36. A quad. t D in A, ae quabitux Cod =D quad. =- + C: plano.
  37. 109= 42. = 80ON, aequatur 1600 fit LN 2. 1C. - 8O + 6416 N, aequatur 640000.
  38. fit 2N 64. quadratum abs 8. 19 + 8N, aequatur 20. fit LN 2.
  39. T H E O R E M A IV.
  40. CT A quad. - quad. = C plano 2 in A quad. = B solidoin A, ae quetur Z. pl2-
  41. no- plano, e P quad. Cubus = C plano + in F quadr. - quadr. t Z plano. plan. 4
  42. Eplano plano + In P quadr., xe quetur Bsolido. Colido. Ec Finnotelcat esse D:
  43. A quact. = D in A, aquabIEIE ~ Caide =D quad. L- + C7 planO.
  44. +20 = 4 9 - 80ON, aequatur 1600, fit 1N 10.
  45. 640000. fit Z N 64. quad. ab58.
  46. 2C -89 + 6g16N, aequatur
  47. 23 - 8 N, aequatur 20, 85 fit L N 10.
  48. P H E OR E M A V.
  49. SF PTaMUZ in A quad. - + B Colido in A = A quad. - quac., X GuCtuT L
  50. platio. plano, e F. quadr. cubus = C plano 4 in P quadr. - quadr. = C ptono.
  51. plano a

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 146. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0152?run=74