Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 148

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: 0.85.

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

The machine reads it as

  1. 1A0
  2. DE EM E N D A TTON F
  3. 10O- 4 Q. Y 8OON, aequatur 16OO. fit FN2. FC +. 4 O. f. 6400N, aegnatus
  4. 614400. fit 1N60. 60 + 4 fabis quadratum ab58. 19-F 8N, aequatur 20. fit IN 2.
  5. T E E O R E M A IV.
  6. CF A quad.- quad. = C plano in A quad. = B solido in A, Xquetur Z pla-
  7. no- plano, e P plani cubus + C plano in P plani-quad. t. Z plano. pla-
  8. n0 + in Eplanum, aequetur Bsolido. Tolido =L Plano- plano 4 in C planum.
  9. Ecinnocescat E planum esse P planum: A quad. =Y Eplani =. C plano i1 A, X Gua-
  10. bitur
  11. V X otauca + C pano = F plaHO .
  12. e0 = 4 0 - 8OON, aquetur 2600. fit LN10. IC F 4 O = 640O N, aquatuI
  13. 614400. fit LN60. 60. + 4 est quadratum ab58. 2O = 8 N, aequatur 20. fc LHY 1O.
  14. T E E OR E N A. V.
  15. CF C planum in A quadr. -+ B Colido in A = A quad. - quad., XquCtIT Z
  16. plano- plano, _e F plani cubus -1. C2 plano in F plani quadr. = Z plano-
  17. plano + in P planum; requetur B Solido. solido -F Z plano. plano L in C
  18. Planum. F. Finnocescat F. planum esse F planum: VF etani x C plano i A - quad.,
  19. aequabitur F plano :-
  20. olia
  21. VF Planc 4 + c. plano +
  22. 44 8 = 72ON = + 9 O, aequatur 1600. fic r N 10 vel 2. 2C + 44 9 = 6400V
  23. aequatur 800000. fit LN 100, 100 Y 44 est quadratu abs 12. 22N =- 2 9, aequabitur 20.
  24. fit 1N XO ~et 2.
  25. X H E O R E H A VI.
  26. CFC Planum in A quadr. = B Colido in A - A quad. - quad., XquetuT L
  27. plano- plano, e Eplani cubus- t. C plano in P plani quadr. - 7 pla-
  28. n0 plano + in Pplanum, aequetur B solido solido- TZ. plano- plano + in C
  29. planUI. EF F planum innOteICAE eNsC F planu: V F plani uv C plano in A = A
  30. Quad., aequabitux F plano = ov ptu, a - c vmo g
  31. AE4 O. = 12ON -+ 99, aequatur 200. fil LN 2 vel 10. LC F 124 9 -80ON, aequd
  32. Tar 1O56OD. fit LH 30. 30 Y +24 facit quadrarum abs 12. 12 N = + 9, aequatur 20. fit
  33. 2 N 2 vel 10.
  34. F. E P O R E M A VII.
  35. EFBColido in A - C plano in A quad. = A quad. quad., deguetur L. pla-
  36. no- plano, et L. plani. cubus =C plano in F. plani quadr. - Z. plano. p la
  37. n0 4 in E planum, aequetur B (olido- Tolido -Z. Plano=- plano + in C planum.
  38. EcE planum innoreleat esse F planum: N Fplani =Oplano i A = A qua d., de Qud
  39. bitur Pplano;
  40. 1440N = 16O aojaddat 2008. sot H2 vet 16. IC = 168 = 11200N, aequa
  41. tur 1894400. fit LN160. 160 -16 facit quadratum ab5 12. 12N = 2 9, aequatur 20. fib
  42. N 2 vel 10.
  43. Eguraate esscas Metathelesperlequi, quum adfectiones sub cu-
  44. b0 eranelcant expursatione peruncias quadrantes: FLxc itaque lunto latis
  45. Luperque.
  46. r vuua = Crmoi

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 148. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0154?run=74