Leibniz Legible

Machine transcription of the Leibniz Nachlass

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De Locis Solidis Secunda Divinatio Geometrica, fol. 95

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: 0.84.

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

The machine reads it as

  1. ORDINATIONVM CONTC. LIMTIOVS LIB. I.
  2. DA, in Parabiola, quadrate teneamatx ex eodem puncto, D in Hy
  3. perbola aeguale eris; l ilites act aliam parcem C; Ouapiopioi. ()Y
  4. perbola TC D transi om per A, C: sed rectansutum D P F equa
  5. rime
  6. Conie.
  7. le cAt B. Quadralo semicrantuerH CL sectae isitur AF; C F Fy perbolam B, r9. huius
  8. ad nUM. 2
  9. COITIHGUINE, C ad A. C; ai coMC quoque Parabolam in iildem pun. c Conver
  10. etis A, C. per constructionent. uque huulmodi Sectiones per diuer, 37. Prinie
  11. los vertices L., B, simul adlesipcae, ergo Ayperbola FLO Parabola ABC
  12. COn1C.
  13. est circumlelipea, ee in punctis tantum A, CC, Se mutuo contingunt, d d 6r. primi
  14. de rami DA, D C ad Parabolam iidem lunc, ac sermiordinatae II fI) L noNIX D
  15. Verbola.
  16. AmpIS, quum oriso D suc incer Tocam, ee verticem, aeque ex 1a-
  17. morum terminis ad axem ductae Cine perpendiculares, (icgue NL. Modu-
  18. luS ex verticali darae Parabola, Crune quadraca ramorum D A, DB.
  19. DS ad Parabolam re sune o rectangula NDL, NBL, NRL, vel vE F e 18 huius
  20. 2c. primi
  21. quadrata DA, BO, RT ad Eyperbolam; sed quadratun rami D A in Conic.
  22. Parabola aequale cA quadraro ejuldem D A in Ayperbola, ergo ee reli
  23. qua D B, DS ad Parabolam aequantur reliquis semiordinatarum BO.
  24. RT in Hyperbola, ideoque de rami D B, DS Temiordinatis BO, R I
  25. aequales, singuli cinsulis. Duare concauum Ayperbolae TAL. C est Limes
  26. propolita Ordinationis.
  27. Tandem, centrum Limitis P distat ab origine D per PD, quam Xqua
  28. lem ostendimus 8 semirecto Parabolae e ab huius verrice B per interral. B20. huius.
  29. lum P B, quod est differencir, inter semireeaum D P, de LaMU MIMUTIUI
  30. Bi Limitis reco cransuerlum PL, porest rectangulum sub DB, lemirer ailli. (2
  31. cto Parabolae, in PF, quae est differencia in er cundem semirectum dP
  32. ee D E duplam minimi tami D B. OuOd OMIO OAtenderC prOPOlHu.
  33. AC l. LB1S
  34. s
  35. .1
  36. 11.
  37. Ie 2 quadraro semiordinatae ex D, erso idem quadratum semiorcinatae 2 2
  38. WIaL. II
  39. ApolI.
  40. eT 1 di
  41. OcIV
  42. satonis amorum ab oriet
  43. N Parabola
  44. ne externa, est ad Locum concauum Fyperbolae a
  45. quilaterae circumaucto triantulo inscriptae, cuius axis
  46. transuersus aequatur Modula ex laterali; vertex verd
  47. est terminus inferior Moduli. Cendrum aurem PCy per-
  48. bolae, quod est quoque centrum Moduli, distat ab ori-
  49. eine per semirectum Pardobra, (5 ab huius vertice
  50. per accreearum ex eodem fMco, (5 ramo minimo;
  51. eo Flyperbola semiaxis transaisas potest rectanculum
  52. Sab semirecto Parabola in aeoreeatum ex ipso, es ra
  53. mo minimo

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 95. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0123?run=74