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De Locis Solidis Secunda Divinatio Geometrica, fol. 12

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: 0.91.

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

The machine reads it as

  1. VINCENTII VINTAM PRO LOCIS;
  2. drata GF, GM, CSi ergO dE reCtangUIA N F Y, A D C, ORV sUNEV
  3. ipla quaarata C F, CM, C S. Ouod erat demostrandum.
  4. P R O P OSTTTO 1Z.
  5. PCirculo. Onadrata ramorum ab orieine inaxis vertice
  6. Sunt inter se et sermenta axis inter ordinatas ex terminis
  7. ramorum, (5 ipsum verticem intercepta.
  8. Sto Circuli A BC axis BC, vertex B, qui ramorum B C, bD, D
  9. Lponatur oriso, ec ex corum cerminis A D sinc ad axem semiordinatx AL.
  10. D L. Dico quacrata ramorum BC, BD, B
  11. A esse incer le ve segmenca asis B C, B F,
  12. BF.
  13. HToc autem constat ex Elementis; quadrata
  14. enim BD, B A _c. aequalia suNE reCTAN
  15. gulis C BF, C B F. ucc. Tingula singulis.
  16. se quadratum B C rectangulo C B C, que
  17. omnia cum eandem habeane alcicudinem
  18. CB, inter se sunt vebases BC, BD, B A. etc.
  19. Duoderatdec.
  20. PR OPOSTTI X
  21. TConi-sectionem, vel Circulum. ABC. Cd CabM Pat
  22. cto P duae rectae lineae F A, FC contineant ad A, C, C9
  23. ex ipso tancentium occursu F. sit alia qu’aecunque recta
  24. Coni. sectionem, aut Circulum secans in punctis B,
  25. F, rectam vero AC tactuum puncta juncentem secet
  26. in L; contrat iam, ex 37 terti Conicorum, secantem F F
  27. dinisam esse in B, L. in ratione Barmonica ita vt FF ad
  28. EB sit Et F F ad L. B. Dico amplius, quod si scementum
  29. huiusmodi secantis inter tangentium occursum E, (5 ta-
  30. ctusiuncentem AC interceptum, nempe, PL media
  31. harmonica bisecetur in NT, tres MI F, MI L, MI B esse
  32. inter se in eadem continua ratione ceometrica, (s in ea in
  33. qua est FC, ad EB, vel FL, ad LB.
  34. Item dico FL. ad L. B esse vt E. AI, ad ML B.
  35. Ouum

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 12. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0040?run=74