Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 111

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. ADDENDA LIBROLLATIO.
  2. tur duplo quadrati IC, cum du-
  3. Dlo quadraci ID: ergo quatuor (I-
  4. nul quadrata AB, BC, C D, DA,
  5. aequantur duplo quadratorum lA,
  6. IB, IC, ID; sedtam duo quadra
  7. ca IA, IC, quam duo IB, ID:
  8. incer se lunt aequalia; ergo quatuor
  9. quadrata laterum AB, BC, C D,
  10. D a aequantur quadruplo quadra-
  11. ei Ia, cum quadruplo quadrari lB: Sire aequancur duobus simul qua-
  12. dratis diameErOruI AC, BD. Ouod CraE, AC.
  13. SCHOLIV M III.
  14. N parallelogrammis ABCD, F FGFT, equalia lacera lingulum
  15. A. sinigulo habencibus; sed quae dirersos ansulos inter se constiruant,
  16. adeoque, et direclas diametrorum lonsicudines; par tamen quadra.
  17. eorum luper diametros RC, BD unius aequacur pari quadracorum su-
  18. ver diamerros L. CF, PHI alterius. Nam urrique ex his paribus aequa-
  19. cur summa quadratorum quaruor larerum proprii parallelogrammi: led
  20. hae Cummae quadracorum incer le lune aequales, quod unumquodque
  21. lacus, unicuique lateri lingulum linsulo aequale sic; erso de paria qua-
  22. dFAEOIEUM AC, BD; F CE, PII lune equalia.
  23. Ad pac. 85. Ouartum Lemma, es Propos. 33. sic aliter
  24. clarius est exponenda super hac fieura, ac de-
  25. monstranda, cum additione sequentium
  26. Scholiorum.
  27. Tfuerit quaevis Paraiola porrio ABC, cujus sit basis AC
  28. D diameter BD, ac trianculum inseriprum ABC, alierum
  29. vero larerum, ut AB sit quancumlibet productum ver (uS L
  30. sitque diamerro BD, inter D, 8 C, ducta quavis aequi-
  31. distans PF productam AB secans in F, curvam BC Para-
  32. bolae in HI, e reliquum latus BC in G. DicO, FII inter
  33. curvam, e basim esse mediam harmonicam inter rectas PF,
  34. FC.
  35. PDer punetum B ducatur BM Parallela ipliD C, quae cansat parabo
  36. lam 3aB, e per C. ipsi D B parallela C. M, quae producacue ulg; ac
  37. BF, ii FI.

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 111. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0303?run=74