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Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 19

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: 0.88.

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

The machine reads it as

  1. _ lineam inci-
  2. denrixM L, du-
  3. CatUE Planum B
  4. AFLHIC; erie
  5. illud ad planum
  6. FFFIC Perpen-
  7. diculare, _ FraH-
  8. sibic per punctu
  9. l ideoque erit
  10. Superticies rese.
  11. ctionis, vel re-
  12. Fractionis lines
  13. incidencix M L5
  14. est aucem sectio
  15. conica, ex qua de-
  16. scribitur Conois, vel Spharois: quod erac demonstrandum.
  17. 9. 11)IIS.
  18. : FIU JIS.
  19. lrOP. Tr. Theorema.
  20. Si parabolam recta linea raneat, es a tactu dueatur una recta intra
  21. parabolam axi parallela, alia vero ad easdemt partes, faciens an
  22. culum cum contingente, equalem prioris anculo cum contincente;
  23. dicohans lineam (ecundam. (ecare axem parabolae intra parabolam,
  24. itant linea inter verticem es intersectionem, semper aequalis sit qua-
  25. dranti lateris Recti.. Dicitur autem intersectionis punctum, focus
  26. Parabola.
  27. anc Pulcherrimam conolutionem, primus quod sciam in-
  28. venic Vicellio, sed quoniam jucundum omitie Corollari
  29. um, Hos aliter, ec Torlan Facisius, hanc iplam demonstrabiimus.
  30. Sic Parabola B A C F, cujus axis L A M, canontque eam linea
  31. L.CNI, in puncto C, a quo ducarur 2Xi varalela C D, Racque, u
  32. eulo DCHI, aequilis L. C F, dico A L elle aequilem quadrani lace
  33. ris recti R. Sinc ordinacim applicatae CC, M F, perpendicularis
  34. ad contingentem CI, eruncque na linex proxortionsles Rs
  35. GC:: OC: CA = = AL, _ HO: BC:: GC: CL ergo OL: GA: :R.
  36. HIO; Sed CL. est dupla linex C a, ergo R est dupls linea 1H C:
  37. de

Cite

Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 19. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/727094130:0031?run=74