Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

De Locis Solidis Secunda Divinatio Geometrica, fol. 77

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: 0.91.

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

The machine reads it as

  1. ORDIHATIONVM COHTC. LIMITIBVS LIB. L.
  2. PROPOSTTF La
  3. NCirculo Limes Ordinationis normalium super ra
  4. mos ex vertice ductos erectarum est ad Locum conca-
  5. num Parabolae per oppositum verticem sibi circumseri-
  6. Prae, cuius rectum latus aequatur ejusdem C irculi dia-
  7. metro.
  8. Sco Circulus ABC, cuius diameter AC, qua hiac rectum lacuS Pa-
  9. a rabola CD, cuius ( vertex C, axis C A. Hac iiaque erie Circulo 2 ex 1. do
  10. circumseripta: 2 ducto vero
  11. quocunque ramo AB ipsi eri-
  12. Satur normalis B C (guxe ob
  13. Circulum incidet quidem in
  14. punctum C) Dico hanc BC
  15. ordinatae per B in Parabola,
  16. hoc est rectae F. F aequalem.
  17. esse.
  18. Nam, ob Parabolam, est
  19. quadratum F F aequale rectan
  20. sulo sub E. C in rectum latus,
  21. nempe in C A, ex constructione, cui rectansulo aequatur quoque : ob
  22. Circulum, quadratum normalis BC super ramum AB ex A Circuli ver-
  23. rice ductae; ergo BC, L. L. Cun aequales; Fr sic de linculs huiusmodi
  24. normalibus, e lemiordinatis. Concauum ergo Parabola C F. D est Li
  25. mes proxoliae Ordinacionis. Ouod er at ec.
  26. ROEOSTLIO LANAI
  27. X Parabola. Limes Ordinationis normalium superra-
  28. lmos ex vertice ductos erectarum est ad Locurm con-
  29. cauum alterius Parabolae coneruentis, e5 sibi simul
  30. adscriptae, cuius verten distat a vertice datae per ip
  31. sum rectum latus.
  32. IT data Parabola A B, cuius vertex B, de rectum Laus B C. CuML.
  33. axe BD in directum polium, per verricem vero C su adscripea da-
  34. iae B A alia CONSIUCHS ParabOlA C E, CHUS pTOPICTCa LacuS teccum lic
  35. idem
  36. AEI BrimB
  37. lib. aC MLAX
  38. _ MIn

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 77. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0105?run=74