Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 285

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. L. F B. IL. C A P. TII.
  2. 283
  3. dem FTyperbola centrum C punctum. At vero cum ex ante di-
  4. etis eriangulum X FIC omnino sit cornitum, urpore laceribus
  5. REI e HIO ansuloque ad FI Tubiildem comprehenlonoris, erit
  6. quoque cognica ratio lateris R HI ad KC, hoc est, ipsiuSOM
  7. (qua Per C ipsi K L aequidistans incelligitur) ad GB, quae (IEUE
  8. a ad 1. Ouare cum OMI CCHHTL indetinite (IE V, GB quoque in-
  9. detinice concepta, hoc eA, qualibet diametri portio, inter Cen-
  10. trum _ ordinatim applicatas intercepta, erit =. Cujus quidem
  11. interCepEa quadratum cum juxta Formulam Regula unum aequa-
  12. tionis cerminum constituat, per mulciplicationem aut diritionem,
  13. vel per utram que ita reducatur cequatio, ut in eadem quoqueidem
  14. 100
  15. quadratum, nimirum
  16. a inveniatur. Ouod quidem ut cert a
  17. mechodotiat, praedictum quadrarum rectae CB indetinite con-
  18. cepex, hoc est,
  19. 1100
  20. aa diridatur per aequationis terminum, in quo
  21. vrEre limpliciter, sire alia Fractione attectum inrenitur, ac per
  22. inrencum quotientem tora ae quatio multiplicetur. ut in lupra po
  23. sito exemplo, 5 21v0
  24. dividatur per vr, hiet quoriens =. quare
  25. cota aequatio mulciplicanda est per ii, productum que diridendum
  26. PCFAA, IEaVEEZE 2122 iivu iihh, idd L iicc
  27. Ta = bBd aa aa fa-L bB. Unde
  28. Et juxta Regulam semi-lacuS ExAnLVexsuM HaE C F vel G C D
  29. ribb iidd - iicc
  30. aa
  31. fa = bb atque ratio transrersi lateris C F ad re-
  32. CtuI FN, uc ii ad fa L bb, et iisdem laceribus, diametroque ac
  33. centro jam inventis (Typerbole describatur PD, Sccansrectam
  34. AF. vel K A productam in L: dico curram VD esse Locum qua-
  35. TIEUM.
  36. Sumpto enim in eadem curra puncto urcunque, veluti D, du-
  37. Etaque DF ipsi A K parallela, caque productâ ue secet rectam
  38. AEL in L, e diametro OB occurraE in B, si eadem D F NOCeTUE V,
  39. erit ex ante dictis DB ∞ Z. FA auTEM, UE jaM annOTatuII, C B ∞
  40. 3 aeque ex hypotheli O F Peu C C ∞ 1
  41. ribB = indd = 2icC
  42. aa 5a = bb
  43. ideoque BC ∞ = + V rihh = 11dd = 11c0
  44. A
  45. Sa = bb
  46. 2C B

Cite

Ps. 2, fol. 285. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0309?run=74