Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 23

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: 0.88.

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

The machine reads it as

  1. N O Y A L R +OR.
  2. 0
  3. Ouod hr ex adereento duorum larerum in sex lingularia plano. Colida, quibus constar
  4. quactaro cudus eea splolum lacerum, lemel sumpra, est aequale differentix cu-
  5. b0 cuborum.
  6. CO N S E C F A R F V M.
  7. Differentia cubo-cuborum si adplicetur ad adgregarum duorum larerum, orienrur
  8. sex lingularia plano. Colida, quibus constar quadrato. cubus differentix iplorum lace-
  9. rum, semelsumpra.
  10. Alind C O N S E CF A R L V M.
  11. Ve differentia lacerum ad adorepacum, ica sex singulatia plano. Colida. quibus constat
  12. quadraco cybus differentix iplorum larerum. Semel lumpca, ad sex lingularia plano-(0-
  13. lida, quibus constat quadraco cubus aderegati iplorum lacerum, sumpra quoque lemel.
  14. Ex propolicionibus praccemrous de ducuntur Theoremata universalia.
  15. Ouod hcexdittetentia duorum lacerum in lingularia homooenea, quibus constat po-
  16. restas adoresati iplorum lacerum, lemel sumpra, est ae quale differentix porestarum eradus
  17. proxime luperioris. Hinc
  18. C ON SE CF A R T V M
  19. Difterentia porestarum Cadplicetur ad differenciam lacerum, oriencur aa
  20. mogenea, quibus constar poreltas eradus proxime inferioris aderegati iplorum larerum,
  21. Temel TUMPEA. EECOnETa
  22. Differeneia porestarum ( adplicetur ad sinoularia homocenea, quibus constat pore-
  23. stas gradus proxime inferioris adgrepari iplorum laterum, semel lumpea, orietur diffe-
  24. rencialarerum.
  25. T I E O R E M A TL.
  26. Ouod Er ex adoreearo duorum lacerum in singularia homogenea, quibus conttatpo.
  27. cestas differentiae iplorum laterum, semel sumpra, est aequale adgregato vel diHerenrix po-
  28. rectarum ordinis proxime superioris: adgregaco quidem. C impar Fuerie Cingularium ho-
  29. mogeneorum numerus: differenrix reco. _ par tueric Angularium hOMOGCnCOrU nu-
  30. merus. Ilinc
  31. C ON S E C F A R X V M
  32. Adgregacum vel differentia porestarunt aepulcetur ad adgregacum laterum; oret
  33. cur Cngularia homogenea, quibus constar poreltas ordinis proxime interioris differen-
  34. cixe iplorum larerum, lemel lumpca.
  35. AIIHd C O N S B C F A R E Y V.
  36. Sipar fuerienumerus singulorum homogeneorum, quibus constar porestas adgresatt
  37. vel differentix laterum, crir: ue disferenria larerum ad adererarum; ira sinoularia homo-
  38. Genea, quibus constar porestas differentix iplorum lacerum, lemel sumpra ad singusaria
  39. homogenca, quibus coludc porectas ejuldem sradus, aderegariiptorum lacerum, le
  40. rel Cucpca.
  41. N E O R E M A L
  42. GFNESIS POTESTATUIM ADEEOTARUM
  43. et EEttde allaetictale.
  44. A O P OS F F +O XXV.
  45. Peraacum adFectum ausanecione plans lub latere, adlcita congruentes
  46. sublacerali coefticiente longicudine, componere.
  47. Sic radix binomia A. = B. Coesticiens sublareralis D longicudo. Oportear quadearum
  48. 2b8

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 23. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0039?run=74