Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 168

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: 0.93.

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The machine reads it as

  1. 168
  2. E L E HL C U R Y A R U M
  3. re. Sumpto enim in curra praeter Polum B puncto urcunque, relu.
  4. ei C, Ecrus efsiciens eidem applicetur, uti in policione BC, consti-
  5. cuetur ab iplo _ efficiente angulus, ut C B C: atque adeo punctum
  6. C, utcunque sumptum, id est, coca Parabola, praeter Polum B, in-
  7. tra efficientem AB C cadet.
  8. Corollarium 9.
  9. Constat quoque ex ancedictis, non posse aliam rectam praeter
  10. efsicientem Parabolam in Polo eu rertice contingere. Juoniam
  11. enim alia quaeris recta per B ducta, ex. gr., PR, angulum con-
  12. Stiruie cum efficiente AC, UER B C, ( à Polo ad directricem ducatur
  13. recta BFI, ita ur eidem angulo R B C aequalis sic angulus DBHI,
  14. ac per punctum EIagatur recta diametro parallela, uc HICI: erit
  15. ca ipla describens, d TIBR angulus mobilis, uepore aqualis angulo
  16. mobili DBC3 BR rerocrusefficiens: ac proinde iplarum II6.
  17. BR interlectio O in Parabola. Ouare cum recta PR non in
  18. puncto B Colummodo, sed _ in puneto (F Parabolae OcCurFaL, de
  19. 3perCtt TOTa BC recta 3 intra curram cadat, non continget recta PR
  20. Parabolam, sed eandem lecabit.
  21. leaque omnes recta in Parabola ductae, guae concin.
  22. genci in verrice aequidistant, ordinatim ad diametrum
  23. applicantur lire ab eadem diametro bitariam dividun
  24. TuT; _ contra, qua cuilibet rectae, a diamerro bitariam
  25. dirila, per verricem aequidistans ducitur, Parabolam
  26. in verrice contingit.
  27. Corollarium 10.
  28. Exdictis qlloque obrium elt, quo pacto datà politione l’ara-
  29. bolae diametro, ejusque rertice, & latere recto, nec non angulo,
  30. quem ordinatim applicata faciune ad candem diamerrum, ipla
  31. Parabola in plano describatur. Si enim describendae Parabola dia-
  32. meter sIE BK, vertex B, lacus rectum ad eandem diamerrum
  33. pertinens BD, (quod quidem ipsi diametro in directum sit poli-
  34. cum,) atque angulus quem faciune ad dictam diamerrum ordina-
  35. cim applicatae ABK rel C B K: oporret, duet a per D laterisrecti
  36. termi-
  37. BujuS.

Cite

Ps. 2, fol. 168. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0192?run=74