Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 94

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: 0.89.

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

The machine reads it as

  1. VINCENTII VIVLAHI DE LOCIS SOLIDIS
  2. PROPOSITIO LV.
  3. NV Parabola. Limes Ordinationis ramorum ab oriri.
  4. ne inter focum, (9 verticem, est ad Locumm conca-
  5. num EIrperbolae aequilaterae sibi circumscriptae, cuius
  6. axis transuersus aequatur Modulo ex verticali, ver-
  7. tex vero est terminus inferior Moduli. Centrum au-
  8. tem distat ab orieine per semirectum Parabola, (5 ab
  9. huius vertice per differentiam inter ipsum semirectum.
  10. E5 ramum minimum, Fyperbolae vero semiaxis trans-
  11. versus potest rectanculum sub semirecto in differen.
  12. tiam inter ipsum, Cs duplum minimi rami.
  13. Sto ParabOla ABC, CAS aXis BD, VerTeX B, FOCUS F, quos InTeL
  14. cadat A C balis trianculi circumseripri A F C, Sique N L. Modulus
  15. ex verricali, invemus iuxea detinicionem xv. huius, e cuius cenrum P
  16. _c. Dico, E per verricem L, circa axem L. D descripra sit Hyperbol2.
  17. aquilarera L. G F, cuius axis trantuersys sic Modulus NL, vel cuius cer
  18. trum (c P; iplam datae Parabolae esse
  19. certis sec.
  20. not. ~ 1
  21. Aiat.
  22. eHe Zimitem Ordinationis propola.
  23. rcumleriptam, _ eius COnCAUUM
  24. DuCaUE ex D alius quicunque ramUS DS, PTAUCI DB, qui est a mi
  25. RIIUS, _ PEXTeF D A per ContaCtuM OrdinatMI, alC CX B, S ordi.
  26. MentuT Q. RT, vique ad Hyperbolam producte I 2, 1.
  27. Ex quoniam NI. ponitur Modulus ex verticali datae Parabolae ABC,
  28. ee P Meculi centrum, eric quadratum semiordinatae D A, in Parabola,
  29. b20. huiuso dguale b rectansulo PDF, Led hoc aequatur c rectansul L, 1
  30. 19. huI
  31. adnum 3.
  32. Clacralum quogue aa Paco Ecclati 1I. aequale CC. ad
  33. in E) PCIBOla LL. C cum cd Hi aeguilatera, ett rectangulum NDL. aqud

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 94. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0122?run=74