Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 246

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: 0.86.

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

The machine reads it as

  1. 2.45
  2. ibipor amadrertere licet, si ex puncto P ceu dato recta
  3. P C Cic ducenda, qua utram que sectionem rel carum contingen.
  4. ces ad rectos angulos secet, sire ut circulus, qui ex P ejus interral-
  5. lodelcribitur, utramque curram tangac, opis tantum esse ducere
  6. P L, ita ut anguluS AP L. Cic Lemictis anguli AM C: Si enim perL,
  7. ubi haec recta ipli XIL OcCurrIE, duCaEUF M C C ordinatimad
  8. AO, hoc est, ipsi AD parallela, erit juncta P C secans quaelita,
  9. sire circulus ex P interrallo P C descriptus utram que curram in
  10. C continget. ut requirebatur.
  11. Sic latus rectum AD ∞V, C MI vel AB ∞X, MI A rel BC. ∞y.
  12. P A ∞V, _ P C ∞5. Ouoniam isitur per prmam Propnem, mi li-
  13. bri Conicorum Apollonii rectangulum sub segmento diametri
  14. MA _ lacere recto AD aequatur quadrato ordinatim applica-
  15. ta CM: CFIEY Y D X X, vel
  16. ry ∞55 = vV + 2 Vy - 7y.
  17. substicuendo nempe 55-- vr
  18. F 2 V Y mum y y In Locum X X.
  19. Deinde quancicacibus omni-
  20. bus ab una parte in alteram
  21. tranclatis, ut y y sic adFecta
  22. Siono F, habebitur xquatio
  23. py + r. + V2
  24. - 20) = 55 ∞O.
  25. Ouam (I POrrO compares
  26. Cum aquationC Y y - cy
  27. F e e∞0, ubi y _ e TunEX.
  28. nietur v Be. L = r, vel vu) F= r. Li quibus manifestum tc, ad
  29. ducendam ecta PC, opus tantum else; diridere latus rectum
  30. AD bilactam A puncto T, atque deinde allumere P M ipsi AI seu
  31. ID aegualem.
  32. Ouod si vero ipsa
  33. tangens CT Sic investi-
  34. Fanda, Poterimus, ut an-
  35. te, Supponendo latusre.
  36. Etum D r, C M ∞K, _
  37. MI A ∞ Y, GURTerE A Y
  38. ∞V, eE AS ∞ s, hOC p2.
  39. co.
  40. Fiat
  41. In Parabo-
  42. la.
  43. FR A N CTS CF a SCH OO P. E N
  44. quales, conterendo nempe singulos cerminos unius cum lingulis
  45. alcerius: nimirum, secundum + r - v cum secundo - = e, inre.
  46. II
  47. AC

Cite

[Ps. 1], fol. 246. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0268?run=74