Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 194

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: 0.85.

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

The machine reads it as

  1. 1B
  2. sexeti.
  3. L L E M. C, U R V A R U N
  4. e
  5. 0B E E M A I.
  6. Propositio 8.
  7. Dacis quibulcunque diametris conjugatis; Flyper-
  8. bola axes conjugatos inrenire.
  9. Sine datae diametri conjusaex PC, G FT, oportearque invenire
  10. conjugatos axes ejus Lsyperbola, cujus cadem PC, CHI COn-
  11. jugacae diametri exictune.
  12. DuCtis ab A CenErO per C _ TI Asymptoris AC, A FI, ducta-
  13. que a C ad eorum alterutram recto C B alteri xequidistante, su-
  14. MaEUF INteF AB, BC
  15. media proportionalis
  16. A D. Dein ducta D F
  17. ipsi AD aequali, acque
  18. AEymproco AHI Paral-
  19. lela, CrIEL AF, eran-
  20. TIenS PCF F_ A ac ipsiuS
  21. L A dupla, eransrerus
  22. 2XIS Qui quaeritur, atque
  23. IE K ad candem per-
  24. pendicularis, ac utrin-
  25. que Alympeoris termi-
  26. nata, axis secundus,
  27. priori conjugatus.
  28. Duoniam enim pun-
  29. cum C: in IIyperbo.
  30. la est, rectangulum que
  31. per3hu- AD E ip(I ABC aequale ; erit quoque punctum F. 3 in IIy.
  32. IuS.
  33. aver s pri Perbola. POrro cum propter rectas D A, D F. aequales + aequalis
  34. mi.
  35. quoque sic D A F angulus ipsi DF A, id eAt 5, P AK angulo,
  36. 5per 29 pri- sineque _ anguli AF I, A F. K ex constructione ae quales: crunE
  37. mi.
  38. per 32 or Eriangula A L. I, A P R ae quiangula; aeque ob latuS A P commu-
  39. mi.
  40. ne etiam aequalia, lacusque PF laceri F. R aequale. IInde cum
  41. 7per 26pri- punCtu F. in HIyperbola existat, dividacque bitariam rectam
  42. mi.
  43. per sup. TK, utrinque Asymptoris terminatam, continget ip(a TR Cur
  44. demonstr. vam in F; ideoque. e proprer ansulos FF. L, LFK rCCtOS, CON
  45. operbhu jusaciaxes erune FE., LK.
  46. FUS.
  47. T. HEO.
  48. 94

Cite

Ps. 2, fol. 194. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0218?run=74