Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 221

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. 1
  2. icc
  3. ade
  4. M
  5. cun
  6. ie
  7. 1
  8. c
  9. CDMMERHX AHL EN LIDRUnTI.
  10. 22. L
  11. EEc ad inquirendum, utrum pro-
  12. prietas circuli, quae declarat, qua-
  13. drata ordinacim adplicatarum ad
  14. diametrum esse aequalia rectangulis
  15. sub segmentis diametri, cum circu
  16. B LO SIE RCCIPIOCA NEC nC: SupPONatuY
  17. recta AB, d in cam perpendicula-
  18. ris CD, hanc habens proprietatem, uc quadratum luper ipsd lix
  19. aequale rectangulo sub segmentis AC, C B. Quaritur qualis sIE
  20. linca ADB.
  21. Ad quod investigandum, secta A B bitariam in F, PONAEF
  22. AEveIEB DA, C E DK, _ CD D y: CTIEGuC A C ∞ a =X
  23. d C B∞ a- F x. Jam cum AC mulciplicatâ per C B proreniat
  24. a a = X X, prO rectangulO A C B; hocque ex data proprictate
  25. aquetur quadrato ex CD: erit a d = X X ∞ y y. Deinde, quo-
  26. niam, linea CD perpendiculari existente super AB, quadratum
  27. ex ED, per 47 Primi Elementorum Fuclidis, est aequale duo-
  28. bus quadratis ex F C _ C D. erit quadratum ex F D ∞ X X L yV.
  29. Ac proinde siin hac Cumma pro yr Tubrosetur a a - x X, habc
  30. bitur quadratum ex F D ∞ aa, hoc CA, P D ∞ a. Id quod osten-
  31. dic, rectis AF,. F. D, X F B lingulis iph a ae qualibus existenti-
  32. buS, lineam AD B esse circulum, CujUS CenErUM F, ac idcirco
  33. proprietarem allesatam cum circulo esse reciprocam. Ouod
  34. iplum ee hoc modo cognolci potest. Adrertendo scilicet, utrum
  35. proprictas propolita sine necessariâ subjecti inclusione demon-
  36. Arari porsienecne. Si enim ea ab sque necestaria subjecti inclu-
  37. sione demonstrari nequeat, proprietas erit reciproca; lin secuS,
  38. proprietas communis.
  39. EIc ad ceselsaum, num proprietas
  40. haec cum criangulo rectangulo sic reci
  41. proca, nimirum: eres angulos simul lum-
  42. Peos aequales esse duobus rectis: adver-
  43. tendum tantummodo est, utrum de-
  44. monstracio illius criangulum rectangu-
  45. lum praesupponat necne; ac proinde cum
  46. ipla absque ulla discretione in quolibet
  47. triangulo locum obcineat, concludendum
  48. E. C 3
  49. e
  50. mo

Cite

[Ps. 1], fol. 221. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0243?run=74