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De Locis Solidis Secunda Divinatio Geometrica, fol. 138

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: 0.87.

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

The machine reads it as

  1. MINCENTI VIVTAM DE LOCIS SOErDIS
  2. e
  3. summa lacerum ad rectum dacae Hyperbola, ctits pei conuerone alo-
  4. niS OF ad FR vE EI F ad F B, _e permutando OF ad F H VE RF ad
  5. EB, _e convertendo II P ad FO vi BF ad F K, d diuidendo HIO ad
  6. OE VE BH ad R F, e permucando HIO ad BR vt OF ad PK, sed OF
  7. ad F K est ve summa lacerum ad cransuerlum (quum, per convertionem.
  8. rationis sit OF ad O K ve summa laterum ad rectum, ex constructione)
  9. ergo ee HIO ad BK erit ve summa laterum ad transuertum.
  10. Amplius, guuum sic 3 F 2d F. O vE OF. ad F K C veraque enim ratio
  11. est ea quam summae lacerum ad cransuersum) de disterentix ipsarum con
  12. rinue proporrionalium F. 3, F: O, F. K, Siuc 3 O, OK, erun in Ca
  13. Insuper, guuM SIE FO ad OK ex constructiOnC, VEF H ad HB, nempe v
  14. demratione cotarum, nempe ve lumma laterum ad eransivertum; Led tane quon
  15. que rationem habet HO ad BKE, ve vicimo superiis octendimus; erg0 30
  16. ad OK eA vE HO ad BH; ac propterea rectangulum sub extremis 30,
  17. BK aequatur rectangulo sub mediis HO, OH. Ouod serua.
  18. Vuclus, ex puncto pera raeu det puto Aelit +L
  19. recta 14.
  20. Sectionis datae ABC ad transuersu, vel (ex constructione) ve transuer.
  21. 22. primi us axis P N oppoluatum Sectionum ad iplarum rectum latus, vel ve
  22. reCTAHEHIMIS L 4 N de gudracum lemiordinatae 4, quumque sic HO
  23. ad B R, ve rectangulum sub HO, BK ad gundracum BK erie rCCLAHBH.
  24. lum
  25. Fc quum superiis demonstracum sic HO ad BK este ve summa lacerum
  26. OntCa

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 138. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0166?run=74