Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 67

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. ORDINA LIONVM COMIC. LIISIOVS LIB. L
  2. LOPOSTEIOMAdI.
  3. N Parabola. Limes Ordinationis normalium super Se.
  4. ctionem ductarum; est ad Locum concauum alterius
  5. Parabolae sibi coneruentis, ac simul adscriptae, (s cuius
  6. socus sit in verciee ipsus data.
  7. ETY data Parabola AB, cuius vertex B, axis BC, ipsique in directum
  8. Posica sE B D aequalis quartae parci recti laceris daca Parabola, cui
  9. per verrice D adscripea (u alia D P. F datae congruens, & cuius focus
  10. eric punctum B C nam ponitur BD PAIS quarta lui recLI). D C0
  11. luius concauum esse Limitem Ordinationis propolur: hoc est (i fuerit
  12. quaecunque normalis ACF, _ per A Iu ordinata C F, hanc ipsI AC, aqua
  13. Jem esse.
  14. Ex A, B dueantur contingentes Parabolam AFL, BF.
  15. Tam, in Parabola D F F semiordinata BF.
  16. ex foco requaeur 2 lemirecto lateri, e ob FAN-
  17. sentem A H axi occurrencem in II, CA II C
  18. dupla b C B, sed CC quoque alticuo nOF.
  19. malis AC, cum cidem semirecto sic aequalis,
  20. dupla CA ipEiuS B D C quae posica fuie Guar 2.
  21. Pais FCctI) erGO cota FTC dupla eAt torius D C.
  22. quare ve subduxlum ad subduplum, ita duplum
  23. ad duplum, nempe ve D B ad D C, vel ve
  24. quadratum c BF ad C F in ParabOIA D F F,
  25. ita exit linea CC ad C HI, vel ita quadea un
  26. C C ad quadratum C A, in seric irium proporcionalium C C, G A,
  27. CHI; Ec permurando quadracum BP. ad quadracum C7 C, ve quadratum
  28. CF ad CA, vel linca BF ad G C, ve linea C F ad G A, sed anteceden.
  29. tes sunt aequales (veraque enim aequa ur eidem semireco) ergo de con-
  30. sequences, nempe semiordinata C L normali A C7 aequalis exit, de sic de
  31. lingulis normalibus, a que ordinatis, ec. Guare concauum ParabolX DEF
  32. est Limes propolira Ordinationis. Ouod erac, _c.
  33. i. huius
  34. 35. Primi
  35. DniC
  36. c Tr. primi
  37. C Onic.
  38. Roducatur F C ad F, Si que recum laUS DR.
  39. Jam quadratum corius FC aequaur d recrangulo CDR, de quadra d p1. primi
  40. tU BATEIS AC reccanoulo e lub CB, DK, ergo reliquum rectangulum Conic.
  41. E AL reliquo rectangulo BDK aequale cA, sive qurdrato P BF, Cive qua e ibidem.
  42. 90. lib. P da. M. c ddeilo commmuni quaar aO A C3 etil
  43. Eccrangulum FAI cum quadiao AC, livernicum quadranm FC dimidia
  44. COLIHS
  45. draco sibi aequalis rectae C C, qua Patitet aegllatur sem recto per noltan

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 67. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0095?run=74