Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 397

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: 0.90.

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

The machine reads it as

  1. Ecuum dia.
  2. 10
  3. lium
  4. RESPONSORYM. LIBER VITI.
  5. O Puncto. Frit aurem O ali-
  6. quanco elarius, sed ea differentia
  7. erie admodum exigua. EC CUErA-
  8. vis DHI, DF. Foret quadcaselima
  9. PaES, auE OEtOgCSIMA, aUEPEORE-
  10. bicrio minurula Cemiperimetri,
  11. ED vero vel D Crancula lemidia-
  12. merri, tanco proxius punctum P
  13. ad O punctum accedet. Sane A
  14. Per puncta FDK describatur cir-
  15. culus, quem recta tangat in D
  16. puncto incercipiens BO in C, crit
  17. BO minor ip (a B P nedum minOr
  18. ipla BO, ita uE B P inter B Q 8
  19. BO consistac, ue numeris quoque
  20. Porest demonstrari. Trianoulum
  21. isicur ODB sen ODB, hetrrian-
  22. Sulo PDBhoc est arex circulicam
  23. prope aequale quam placuerit.
  24. Frianoulo aurem rectilineo BDO
  25. aequale guadratum Con(LICLLALHE
  26. RSTV. Circulo isituE ABCD
  27. quadrarum R S Y V inventum est
  28. tam proxime quam placuir ae qua-
  29. C. Ouod erar taciendum.
  30. C APV F XVII.
  31. Proeressio Geomeirica.
  32. PRosressionis Gcometri-
  33. Cae doctrina uno ferc ab-
  34. Solritur Theoremate, didu-
  35. ctis videliceE Cx CO QUAHIOF
  36. dedouevors.
  37. Y H E O R E M A.
  38. Si Fuerine magnicudines continue proporrionales: crit ut terinuS Fa-
  39. tionis major ad terminum rationis minorem, ita disterentia compollEX Cx
  40. omnibus e minima ad differentiam compoliex ex omnibus s maxime.
  41. Sine maonicudines continue proportionales, quarum maxima sic D, minim a X, et
  42. Compolica ex omnibus F, ee scratio majorisad minorem sicur D ad B. Dico este uc D
  43. AdB, ita F minus X ad F MinUSD.
  44. Redourvor I.
  45. Quaque davis D, B, X, dabitur F. Fnim vero ~ omd. = v n Z aequabitur F.
  46. Contra datis D, B, F, dabitur X. Enimvero iunt B gua. = v 0 2 aequabitur R.
  47. Et datis D, P, X. dabitur B. Enimvero in: - D aequabitur B.
  48. Et datis B, F, Z, dabitur D. Enim vero D in F. =D quad. aequabitur B int
  49. =B in Z
  50. Elehaec in Analycicis abunde demonsorara, et exempliticara lune.
  51. CCC2

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 397. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0403?run=74