Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 199

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: 0.89.

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

The machine reads it as

  1. B. L. C A P. II.
  2. E H E O R E M A Z.
  3. Propositio TF.
  4. St Guaelibet cors ls cuicunque Flyperbola dia-
  5. METTO OCCUTTaE, acque a puncto conractus recta ad
  6. eandem diamerrum ordinatim applicetur, crit rectan-
  7. gulum sub diameeri portionibuS a CeHEEO PEF CONEIM-
  8. sentem applicatam que ablcissis aequale lemidiam ecri
  9. exanlverla quadrato.
  10. Ouamcunque Fyperbolam R C, cujus ACyMPEOLi AD, AF,
  11. contingat in puncto C urcunque lumpio recta F. C F, A(ymPTO-
  12. tiS OCCuTrenS in F d F, diametro aurem A HI urcunque duetx
  13. in L; ex per punctum con-
  14. tactus C ad candem dia-
  15. mecrum ordinatim appli-
  16. cata sIE C. II, que produ-
  17. Cta AIYIMPEOTO OCCUETAE
  18. in M. Dico rectangulum
  19. IIAIaequaletore quadra-
  20. eolemidiametriK A, CIVC,
  21. quod idem est=, continue per 17
  22. proportionales ense LIA, serri.
  23. KA, _TA.
  24. Ductis enim D HC
  25. applicatA CHI, _ RL
  26. contingenci FF paratlelis, notatoque interlectionis puncto R,
  27. cum sIE = R C ad C F, UE R K ad KD, hoc CA 3, MG ad MI F, = per ZCOr.
  28. UEL E adLD: erit quoque + NO ad CF, uEL F ad E D. Oua- Sexti, 8 9
  29. hujus.
  30. re cum porro s sc FG ad GA, UED P ad F A: erit 5 CX XGUO 3 per 2sextI
  31. MO ad O A, id est Z, FTR ad R A, uEL F ad E A, hoC eA , UIE + per compo-
  32. KI ad IA: _ componendo HL A ad R A, uE K A au I A. sitionem ra-
  33. Ouod demonstrandum crat.
  34. tionis con-
  35. vium ad 18 Q vinti. 5 per 9 hujus. 6 per 22 Q uinti. 7 per 2 sexti. 8 Per 2 sexti. 3 per
  36. 18 Quinti
  37. trariam.
  38. ville Cla-
  39. HIEC

Cite

Ps. 2, fol. 199. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0223?run=74