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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 51

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: 0.87.

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

The machine reads it as

  1. V ECF. VI
  2. CNus. DB. P. hoc est. DB. DC:: DC xDB. CNXP. hOC
  3. eAtDBKDC. DCq:: DCX DB. C.NVXP. OUApFOPTeK est
  4. DC9 = CN XP; erGO PateE curvam D N N esse parabolam, cu.
  5. jusparameter P, Vertex D; diamerer ips B A Parallela.
  6. Dedit hoc Cresorius à S. Vincentio sed operosa (A probe memini) in Lib. de
  7. prolixitate, demonstratum.
  8. Spiralio
  9. XV. Adjicimus; Si reliquis iisdem potitis, ita Ferantur C X, _ F18. 48.
  10. DY, ut jam semper habeane B L, B C rationem eandem (puta quam
  11. BD ad R) erunc etiam intersectiones ad parabolam.
  12. Nam bisecetur DB in C5, ducaturque GV ad B F parallela, se-
  13. cans curram DN NI inV. _ quoniam est B C R:: BF. BD::
  14. CH. CD, exIEB C X CD = R X CH. ergo (secundum benE
  15. noram parabola proprietatem) eAt curra D AN parabola, cujus para-
  16. meter H, diameter CV.
  17. Pxolecaria sune Fortan ista; Ped non perinde notara occurunc hXC:
  18. XVI. Si reliquis similirer politis, recta C. X non jam ad ipsam BA, Fi8. 49.
  19. sed ad aliam politione datam (D HI) Feratur parallela; sirque per-
  20. Detuo BF. DC:: DB. R; erun intersectiones N ad hyperbolam.
  21. Nam ducta AIC ad B A Parallela, nuncupentur DB =- b. BH -
  22. h; DO = x. OH = y. EAque v. y: : b. = = BF. item B.
  23. b: : 7. = G C. quare C D = ∞ -,. ERisitur (ex hyporte (i)
  24. 2. X - -:: b. r; underalis ordinabitur aequatio;
  25. v
  26. xx. Ponendoq; = m; exit y xJ. my = x x; est ergo
  27. curra D N N hyperbola, quae supra haberur determinata.
  28. ZVII. Duinetiam Si C reliquis, ut in praecedente, suppolitis) ita
  29. jam Peratur C X, ur semper habear B P ad B C rarionem eandem, quam
  30. BD ad R. erunt itidem intexsectiones H ad hyperbolam,
  31. Nam ducta NVC ad A B parallela, nomineneur rectae, ut in prX
  32. eunte; eAque jam BC = b - X ]
  33. B
  34. Tu 20 hujen.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 51. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0263?run=74