Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 7

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: 0.83.

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

The machine reads it as

  1. VEL LIMIT. ORDINATIONDM COMC. LIB. 1.
  2. FX CenErO C ducanur Sectionum Asymptoi OO OR, _ 6S, OF.
  3. aeque ex verice B. SIE COnTINGENS MN, quae AImpEOtIS (5O, GR Oc
  4. currat in X, Y, ee Hyperbolae ABC, in M, N; Ordinatae vero Alym.
  5. protos secene in O. S, Y, R, de In 2, 4, 73 9.
  6. Lam, Constat 2 Tam reCtAN-
  7. Sulu XM Y, quam OE P
  8. aequale ese quartae parri Agu-
  9. ra luxe Hyperboxe, hoc cA
  10. eidem quadraro communis se.
  11. midiametri coniusata C. I;
  12. quore rectangulU X M Y X-
  13. Quate est rectansulo OEP, his
  14. isitur addito, vel dempto,
  15. PIOUE requiritur, communi ee
  16. CeangulO OM P, ACE LCCtaNOUI.
  17. lum XOY aequale rectangulo
  18. MFNs cademque ratione oltenditur rectangulum OSR aequale reclal
  19. SuIo ADC, _ rectangulum 2 4 9 aequale recrangulo 358; Sed reCAH.
  20. Sula XOY, QSR, 249 (quum ex proporeionalibus laceribus sINE CON-
  21. Aicuta) inter se TUnE VE quadrata XO, 9S, 245 vel vi quadrata B P,
  22. OV, GZ; ergo de rectanSUIA ME N, ADC, 358 sunc incer se ve ipla
  23. quadrata CF, CV, CZ. Ouod et a demonstrandum.
  24. l
  25. O t
  26. eROPOSITFO V.
  27. N Fyperbola. Ddistantia inter centrum, es focum
  28. Potest quadrata semiaxium concucatorum.
  29. In Fillipsi vero. Distantia inter centrum. (5 focum pon
  30. test differentiam inter quadrata semiaxium ooniusatorum.
  31. si
  32. FE cam Fyperbolae, quam Fsiptis ABC, centrum F, axis er antuer-
  33. sus BD. Semiaxis coniuSatS F H, FOci vero C, F. Dico primum.
  34. in Hyperbola, quadrarum distamiae L F inrer cencrum, de focum, qua
  35. dratis Cimul BF, F. II aequale ese.
  36. Nam, quum G, F, (IE
  37. foci, eric rectangulum (+
  38. BF equalC B QUarEX Pat-
  39. titisurae, nempe aequale
  40. quadrato F. H, ee addito
  41. communi quadrato LB,
  42. CFIE RectanDulum G B F
  43. cum quadrato D B, hoc
  44. est vnicum quadratum F.
  45. FC est enim CF secta
  46. bilaciam in Eo et non bi
  47. Sec.
  48. eexloder
  49. ME.
  50. lecurente
  51. Bex 15. CeF.
  52. ContC

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 7. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0035?run=74