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De Locis Solidis Secunda Divinatio Geometrica, fol. 71

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: 0.92.

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

The machine reads it as

  1. NARIAR: DISPOSITIONVM LIMIT. LIBER III.
  2. est vertex crianguli aequicruris ADC; lemecatn vero latus i A BIa
  3. uiS dati crianguli rectanguli ABC.
  4. Aructione, ergo de quadratum quadrato aequale clt: quare a c
  5. quadrata AT, TFT, sive duo rectangula lB A cum tribus quadratis LB,
  6. BA, TFI aequalia fumul sunt duobus simul quadratis C B, BI: ex his er
  7. 30 dempro communi quadrato BI, remanent duo rectangula ub IB, B A
  8. cum quadrato AB, _ quadeato FTI aequalia simul vnico quadrato C B,
  9. sed quadracum perpendicularis C B, in triangulo requieruri acutansulo
  10. Temma3.
  11. ADC ex termino C balIS AC ductae super latuS AD, sequatu a duobus nuius.
  12. rectangulis D BA, ergo duo paricer rectangula sub IB, B A cum qua
  13. E F ordinatim ductas ex terminis subrensarum, ita ve sinoulxe singulis
  14. aequales line, nempe A H aequalis CL, AO ips CB, AN ip(I CM.
  15. AG ipSi C A _ AF ipSi C F ac. Dico in veraque fgura puncta HI, O,
  16. N, G, F, esse ad concauum Parabole, cuiuS aXIS VENLEX CE D, qui
  17. TAIM, In Prima ASUTd, LaMCCaS LEL auatu Subtena CL, Cx COn
  18. drato AB, e guadrato FII aequantur duobus rectangulis sub D B, BA
  19. cum eodem quadrato AB, Sed duo sub DB, BA aqualia fuNE duobus sUB
  20. DI, BA una cum duobus sub FB, BA, ergo icerum duo rectangula sub
  21. TB, BA, quadratum AB, _ quadratum FIL aequantur duobus (UB DI,
  22. BA, vira cum duobus sub IB, B A, _ cum quadrato A B, ex quibus
  23. composieis A demantur communia sparia, nempe duo rectanoula sub
  24. IB, BA, ec quadratum AB, remanet quadratum HI aequale duobus re-
  25. Etangulis sub DT, BA, vel rnico tub DT in duplam BA.
  26. Ampliis, transuersalis O A aequatur perpendiculari C B, ex constru-
  27. ctione, ergo e quadratum O A aequale est quadrato C B, id coqué de duo
  28. quadrata OB, BA aequalia quadrato perpendicularis C B, in criatigulo
  29. requicruri acutangulo ADC, vel b duobus rectangulis DB A cum qua- b ibidem.
  30. drato BA, _ dempro communi guadraro AB, Superest quadratum AO
  31. equale duobus rectangulis sub. D B, BA, vel prico sub DB in duptam
  32. BA.
  33. Insuper transuertatis AN aequatis eR subrentae CM, ex constructione.
  34. erso ee quadrarum AN, vel duuo N M. M A aequalia lune quidero C M.
  35. vel

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 71. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0263?run=74