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De Locis Solidis Secunda Divinatio Geometrica, fol. 26

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: 0.94.

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

The machine reads it as

  1. VINCENFH VIVIANI PRO LOCIS.
  2. PR OPOSITIO XVII
  3. WV quacunque Coni. sectione, vel Circulo. Si basis
  4. trianculi circumscriptiinter focum, o sibi proximum
  5. avis verticem ceciderit, 9 in Fillipsi prolata inter cen-
  6. trum, 5 verticem, per quem, in sinoulis sectionibus,
  7. sit verticalis contingens alteri lateralium occurrens, quae
  8. a puncto dimidia basis trianculi applicetur subtendens
  9. rectum anculum ab ipsa verticali, ( sectionis axe con
  10. stiturum: haec in Circulo reliquae lateraiium tancen
  11. tium aequidistabit.
  12. In Paraboia vero, in Fryterbola, 5 Fllipsi oblonea ei
  13. dem tanrenti oecurret ad partes sectioni contrarias.
  14. Sed in FTyperbola occurret inter verticales tancentes sectio:
  15. num opposiearum.
  16. In prolata autem ad partes centri; altra tamen verrica-
  17. lem tansentem priori oppositam.
  18. Et si ab occursibus praedicta subtensa cum lateralibus con
  19. tincentibus ad preductum axem ducantur ordinatae,
  20. punctum bisecans seementum ab bis abscissum; cadet
  21. in Parabola. FErperbola. C5 Fllipsi obtonea inter ver-
  22. ticem trianculi circumscripii, es ordinatam a Sectio
  23. nis vertice remotiorem.
  24. In IErperbola vero, inter Sectionis centrum, C5 Ordina-
  25. tam vc tici proviorem.
  26. Sed in Ellipsi prolata inter ejus centrum; es ordinatam
  27. a vertice remotiorem
  28. Si autem, quae ordinatur in prolata F.llipsi, per centrum
  29. sit ducta, praescripta subtensa cum viraque item late-
  30. raii contincente conneniet, es ordinatim ad axem du-
  31. eta ab acursious agamia axis seementa abscindent in
  32. ter eusuem orams, es centrum dectionis.
  33. ESO ABC quaelibet ex praedictis Coni - sectionibus, cuius axis BK,
  34. L vertex B, Focus F, axls CaluertuS I B, cenrum O: hoc est in
  35. criprum sic criangulum AF. C, cuus axis F D, balis AD C incer focum
  36. F e
  37. FI. ista figura, etto Circulus; utsecnta, Parabola; in certia, Hyperbo.
  38. Id; Guata; Flliplis obloas eed Prolata, atque Cineulis circum

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 26. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0054?run=74