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De Locis Solidis Secunda Divinatio Geometrica, fol. 35

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.

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The machine reads it as

  1. VEL LIMIT, ORDINATIONYM CONTC. LIB, I.
  2. PROPOSITIO XX.
  3. N Parabola. Semibasis trianeuli circunscripii; quae sit
  4. inter verticem, (9 foeum. potest rectanculum sub axe
  5. trianculi in sementum axis inter basim, esi centrum
  6. Moduli comprehensum.
  7. Praedictum aurem sermentum semirecto Parabola aequale
  8. est.
  9. Sto Parabola AB C, cuius axis BD, vertex B, _ fOcUS C, inter
  10. L quem, e verricem sic basis AC crianguli circunseripti AF C, de Sit
  11. NY I. Modulus ex verticali B C trantuertim applicata ex D in angulo
  12. DBC, _c. Ciusque Cenrum sic P. Dico primum quadratum lemiordi
  13. nata AD, rectangulo P D P aequale esse. Insuper sesmentum DP eidem
  14. requari lemirecto,
  15. duadratum enim rami D B 2d
  16. guadratum rami DA eA ve a rectan
  17. Gulum NBL. ad NDL, Sed antece
  18. dentia, nempe quadrarum rami D B,
  19. quod est dimidium cocius D F (0b
  20. ParabOIX TANSCNCE AF.) ex rectan.
  21. gulum N B P. Cune B ae qualia, er30
  22. e consequentia, sive quadratII Pa-
  23. mi D A rectanoulo N D L aequale
  24. exic, Ced huic aequatur c rectangulum
  25. PDE, ergo de quadratum D A aequa
  26. de est rectangulo PDE. Ouod primo, dc.
  27. 49. Primi
  28. Inluper quadratum D A, ob Parabolam, aequale est a rectangulo sub Conic.
  29. DB in rectum latus, ergo, e rectangulum PDF. aequale est cidem rC-
  30. ctangulo, quare DB ad DF est ve D P ad rectum latus, sed D B. (C.
  31. missis CA TOEIUS DF, erSO e DD, Segmentum axis a centrO Moduli vI.
  32. que ad balim crianguli circumleripei, dimidio recti lateris aequale erit.
  33. Ouod, ec.
  34. 240 primi
  35. hurus.
  36. B 18. huius
  37. 2d num. 6.
  38. c ibidem.
  39. Bum. 3

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 35. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0063?run=74