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Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 209

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. te
  2. ano.t,
  3. od
  4. POZESF A TVM RESOLVTIONE.
  5. primi, et Coetheienee plano necare. Lareris vero ejusdem se cundr quaatacue in lolidum
  6. huberiplolacerisprimi, e coetticience plano. Lateris demque ejuldem lecundi cubus in
  7. iplum coefficiens planum.
  8. quod quidem est subcabicum.
  9. bico, X eriplolacerisjam eliciri. Fc plano. planum lub eodem d rriplo quadraro laceris
  10. Praedicti. IIlud sedem occupans Colidorum, hoc plano. planorum, post iplum coesticiens
  11. Planum, incer puncta cubica de super adAXa.
  12. Ecelicien dorum LaLCTMM CHOT GATOCIM QNCMMCI IIIPTEI COCMTCICH pTan.
  13. draca in Colidum sub coeiticiente plano e rriplo laceris jam eliciri. Longirudines ve-
  14. toram in plano planum sub coesticiente eodem, e criplo laceris jam eliciri quadrato,
  15. quam in iplum coësticiens plano- planum; plano. Colidis. quae inde hune, sub congrua
  16. lede, qualemrariomulciplicationis exigie, desimentibus, e iis quidem quae hunca coët-
  17. ticience plano ex luis scanloriis expletionum, Colido videlicet, de plano. plano alioquin
  18. addiciriis, comparandis cum reliquis plano- Colidis ablaririis, quae videlicer Fune rum abs
  19. coëfticience plano. plano, cum abs divisoribus reliquis in Colita purorum quadrato-cu-
  20. borum analyli, ac demum ablaciriorum excessu auterendo ex adfecto propolico quadea-
  21. co. cabo.
  22. Coetficiens denique urravis magnicudo, una cum superioribus divisoribus reliquis.
  23. in succedencia loca suo ordine derehetur, cum interiores quoque divilores morebun-
  24. cur reliqui. Vein paradigmate.
  25. Paradiema analyseos quadrato ud cufecti sub latere adjerma-
  26. te, e sub cubo negate.
  27. TEductio lateris singularis primi.
  28. subcubicum.
  29. ExadFecto igicur hujulitsod quaclaco. cubo, uc cruantur latera, le des singulatt qua-
  30. dearo. cuborum constimentur Colica methodo, a punctis lubrus collocaris deBionandx.
  31. Ex quor numeralue le des quadraco-cuborum, punctave, corinprimis se deslarerum
  32. limplicium per singulas fguras constitueneur deluper. Loldeinde ledes cuborum, per
  33. cernas videlicet alcernas, et in ultima quidem simpetent de coetticiens plano planum,
  34. quod quidem sublarerale est, consister. In ulcima vero cuborum coëfticiens planum,
  35. Lacera non secus elicientur, quam in analy si quadrato cudt put, God ipta Coet-
  36. Ecienres divisoribus addune, vel minuune. Addir coetticiens sub lacere adtirmate, aufert
  37. coesticiens sub cubo negare: sicurietam autetes Loreu tub plano coetticience subcu-
  38. Coefficiens planum
  39. Cdessiciens plato Platu
  40. uaurato vlbuo mstotao 1sob
  41. Deru.
  42. ablatisiau
  43. Planc
  44. acticium
  45. Excessus ablatitiorum.
  46. Reliquum resolvends adselb a
  47. drato. cubr.
  48. Ouadrato.
  49. is prim
  50. A lacere primo in plano. punu
  51. ficiens.
  52. a cubo lateris primi in coesss pla-
  53. 5oes.
  54. IIFda

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 209. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0215?run=74