Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 145

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. 10
  2. 11
  3. nC
  4. n
  5. Teri
  6. Verique igirur aquarionis parti addarur id quod defieir ab effecto a Matura radice pla-
  7. na quadraro, ergo hac aequalium aequalibusaddirione, rursus pars parri equalis erie.
  8. suct illraque pars dividitor subquadrarice, illic revocara ad analylingeneli, orietur
  9. manifelto Guad. + C plano F L quad. =
  10. Duod si alcera quoque aqualicaris pars posser diridi subquadrarice, quod oritetur,
  11. Forer radicibus lnsplanis ex prilta parre ortivis aequale.
  12. Ettingendum estisitur quadrarum à radice plana, dt illud alceri aequalicaris parri, id
  13. ElC Z. Plano. plano una cum suisadfectionibus comparandum ex adaequandum, ucr2-
  14. dices quoque comparencur d adaequentur inter sc; de caruarur idcirco radix illa plana
  15. eltingendi quadrari colidum = F in A, sc enim in comparatione eranelcent adfectiones
  16. lub A e gradibus, e incidecurin aequalicarem de F, quorendendum est
  17. Estictum isitur quadratum exic. FB Codosolidum p F quad. in A quad. = B Colido in A
  18. equale Z plano- plano - B solido in A. F C plano plano. F F quad. quad. + L. quad.
  19. Ih A quad. = C plano in F quad.
  20. Ex deleris urrinque adtectionibus sub A X A qua d. B olido coudum, aequabieur Z. plano-
  21. plano + C plano plano L F quad. quad. =- + C plano in C. quad.
  22. Ex omnibus in L. quad. 4. ductis a rice ordinaris, P. quadrari- cubus L C plano + in F.
  23. quad. quad. = 2 plano plano 4. = C. plano. plano q. in F. quad., ae quabitur B Colido- solido. Inno-
  24. releac aucem E esse D: A quad. + D in A, aequabicur B om = C plano + D quad. =.
  25. EE A PEOPONatur A quad. quad. F G plano in A quad. 2 -B Colido in A, equari Z.
  26. Plano. plano: radix ettingendi quadrari staEVCTUE, BEdidum = F. in A, comparanda A quad.
  27. + C plano F F quad. Z
  28. EE S PEOPOnatuE A quad. quad. - Cplano in A quad. 2 = B Colidoin A, Xquari 2
  29. Plano. plano: radix plana eftingendi quadrari stacuetur. onaum F F in A, comparanda
  30. EE L proponatur Cplanum in A quad. 2 -+ B Colido in A - A quad. quad, xequari 2.
  31. Plano. platio. Inversis adfectionum nols: radix plana eftingendi quadrari saLHCTUE
  32. quoque
  33. + F. in A, Comparanda A quad. - C planO - +. F. quad. =
  34. EF SI proponamr C plan. in A quad. 2 = B Colido in A - A quad. quad., Xquari Z.
  35. Plano. plano. Inverlis adfectionum nocs: radix plana effingendi quadraci statuerur F. in
  36. EE E Proponatnr denique B solidum iA - C plano in A quad. 2 - A quad. quad, x-
  37. quari Z plano. plano. Invecss adfecttonum nocis: cadix plana efingendi quadrati
  38. CTaEUCEUE F in A, ecoido, compalanida Aquad. + G plano L F. quad. E. Fic ita que
  39. omni calu reducco qua imperara eA.
  40. A OY A ZTO N V V.
  41. A quad. = C plano F F. quad. =
  42. E comparanda A quad. - C plano = P. quad. =.
  43. A LIY E R.
  44. ualitatem quadraro-quadidti aftecti eam Cub latere quam quadea
  45. o Pe ccu CoCd radicem habentis planam, ad quadraticam
  46. reducete
  47. Proponatur A quad. quad. = C pratom A quad. B Colido in A, aquari Z. pl2.
  48. eroblelie addacur F. planum in A qualt. + F. plano plano Z. Pars igitur parcicurtus
  49. Platio, dividicor isicur quoque aleta pars subquadrarice, et ideirco eAingatur qua-
  50. Mlacum abs commodaradice, et illud comparetur, ee adae quecur alcera illi pats, uipote
  51. no. plano. porrer tacere quod imperarum elt.
  52. Duoniam per ea qux proponumtur, Facta metarhesi, A quad. quad, Xe quacurZ pla-
  53. 20. plano - C plano in A quad. = B Colido in A.
  54. a
  55. A + E. plano in A quad. + F plano. plano.
  56. daequabiur, ec ab illa quidem quum atidicur subquadearice, oricur A quad. + F
  57. uad. = B lolido in A, aquabitur L plano. plano - C plano in A quad. - B Colido
  58. Itaque
  59. E plani = C plano in A. IBIEUE otumo . - v1. 4. -Y E plano - C plano
  60. Hacurcor radix

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 145. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0151?run=74