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De Locis Solidis Secunda Divinatio Geometrica, fol. 44

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. VINCENTH VIVIANT DE LOCIS SOLIDIS
  2. cum ipsorum latera sine aequalia, ergo de quadratum AL, vel duo simul
  3. AI, TI. aqualia suNE quadrato BM, sive rectangulo A BI, ob semicireu.
  4. lum; rectangulum isiiue A B F suPCrat quadratm AF quadrato IL: hOC
  5. es TE porest disterentiam inter rectangutum ABI, _ quadratum LA: de
  6. sic de lingulis similibus ordinatis _c. Ouaproprer concauum peripherie
  7. CLF est Locus planus propolua Ordinationis. Ouod Crat _C.
  8. C EMMA. VII PROP. LXVI.
  9. I recta AB secta fuerit in C. secundum extremam.
  10. DCo mediam rationem, ita et AC. sit sermentum ma
  11. ius, cui in directum adyciatur AD aequalis ac presato
  12. datae AB cum maiori sermento AC, minus vero C B
  13. sectum sit oicunque in P. Dico rectancula ABF,
  14. D F C. simul aequalia esse quadraro sermenti AF.
  15. rum enim sic AD aequalis aGGrCSAtO ex AB cum A C, addita com.
  16. IUNi AF, eric D E aequalis cribus CimuI A B, AF, AC, e Cumpa
  17. CF communi alcicudine, eric vnicum rectangulum DF C aequale
  18. cribus, nempe (ub AB, CF; Tub AF, C F, de sub AC, C F: si his igi-
  19. tur commune addatur rectanoulum
  20. ABF, eric rectangulum A B R cum
  21. DEC aequale quatuor simul, nempe
  22. Tub AB, BE; sub AB, C Ei lub A F.
  23. F. C; de lub AC, CE: Led duo sub AB.
  24. BE, de lub AB, C F constiuu re-
  25. ctangulum ABC, hoc est quadratum
  26. AC ips aequale, ex Hypocheh: ergo, illis in hoc permuracis erie ilem res
  27. ctangulum AB F. cum D F. C aequale quadrato AC cum rectangulis sub
  28. AF, E.C, de sub AC, C E; Sed haec omniu nempe quadratum AC cum
  29. rectangulis lub AE, P. C, d Tub AC, C P aequantur quadrato vnico AE.
  30. ergo eadem simul rectangula ABF, D F. C, quadraco AF. lune aquala.
  31. Duod erac demonctrandum.
  32. t

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 44. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0236?run=74