Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 193

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. quoque
  2. deunque
  3. apuneto
  4. n ducta
  5. sperbola
  6. C AP,
  7. Hyper
  8. Ierlam
  9. camque,
  10. S Term
  11. COnt
  12. que H
  13. ermine
  14. ipli per
  15. VH, sC
  16. aE VerB
  17. ccunda
  18. rectu
  19. dieme
  20. Oppot
  21. dam dia
  22. IuSaCalui
  23. L X B. l. C A P. II.
  24. 193
  25. oncarum Fyperbolarum IC, LIF..
  26. quarum AEymptori BC, DF, diameter eran verlauccunque al-
  27. minum P ducta recta FP. O poralle
  28. la ip(i BD, qua Curram IN ver-
  29. tice C contingie, ita VEHXC AE-
  30. que illa Asymprotis occurrantin
  31. punctis B, D d P, C: dico prX-
  32. dictam quoque F F. C, oppol
  33. cam FIyperbolam continsere in
  34. E; ec li per centrum A ducatuF
  35. secunda dinmeter AK, diame-
  36. ero C L conjugata, ordinatim
  37. ad eandem A HE applicatas ip(i
  38. CF diametro aequidiltare.
  39. Ouoniam eniin eAt= FaIM AF. 1 per 29 pri-
  40. ad F C, ut AC ad C B, quam mi. e 4
  41. A F ad F F, UE A C ad C D; et Sexri.
  42. LUINEEAI AF, A C = quam CB, 2 per 1C0-
  43. CD3 aequales, erit quoque + rol. 5 hujus.
  44. 3 per Ghu-
  45. ta E C ipEC B, quam L F ipCI jus.
  46. C D, dc proinde _ LC ip(I F F. + per Y 8
  47. quinti.
  48. aqualis. Unde s recta F (7 Op- 5 per 6 tou-
  49. policam leperorum lLCominset in puncto F. Quod primo jus.
  50. loco propolitum suit. Porro li per C de D ducatur recta GD, sC-
  51. cans secundam diamerrum AK in K, oppolitisque Hyperbolis
  52. occurrens in HI d I, cum aequales ee parallelae lint L (7, C, D,
  53. erunt ec quae iplas conjungunt GD, C F parallelae aequales. 6 per 33 pri-
  54. Ideoque cum secunda diameter A R contingencibus BD, FC, id mi.
  55. 7per 3COr. 6
  56. eA 7, ordinatim ad diametrum C. P applicatis xquidistans sIE, UE- Bugus.
  57. Poce ex Fypochesi ips C P conjusata: crunt quoque rectae per 34 pri-
  58. OK, EA, ut _ RD; AC, ideoque_ GR, H D aequales.
  59. mi
  60. 9 per ICOr. 5
  61. Quibus si addantur aequales o O FI, DI: crun similiter rectx bujus.
  62. Z HI, II libi inricem aequales. Ouocirca cum 2r ad Cecundam 10 per 2Cor.
  63. hujus.
  64. diametrum AHC applicata sic recta LII, CtIaI CXTCTA OMHCS ad i1 per 6COr.
  65. eandem applicatx eidem FIIac proinde et diamerro C F. X = s hujus.
  66. quidittabune. Quod secundo loco propolicum erat.
  67. 22 pen 5146
  68. Cor. StWiuS.
  69. dit Fyperbola svel0
  70. Cumpea C F, Petesle ejus
  71. P.

Cite

Ps. 2, fol. 193. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0217?run=74