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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 98

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: 0.88.

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The machine reads it as

  1. L C C Y. XI.
  2. mulciplicando) 2Fn ) - sn =- m F - . m s. vel transponendo 2 n t.
  3. M F == M S -- 1 5. WHde M = n a 2 B - M : : t, 5:: C A o A D. Cx.
  4. 50 patet ex antecedente.
  5. ZIV. Srance duodecima hypochesi, paraboliformis A F B enera ty-
  6. perbolam A F: B tota cadet.
  7. Nam utcunque ducatur P F C ad B D parallela; _ recta F R By
  8. (a)2 Bujus ap. perbolam, recta FS paraboliformem tansant. F. Aque SC. A C:: (a)
  9. M. B:: TD. AD (b) =RC. AC. unde RGC SC,. (6) unde
  10. curra A F. B exrra curram A F B tota cadet.
  11. XV. Friam, Si reliquis perstantibus, ad basin G F, axin AC COn
  12. Scicutam imagineris ejusdem ordinis paraboliformem; haec ad partes
  13. ipsa C P. Superiores intra byperbolam tora cadet.
  14. Nam si in curva hyperbolica A E. sumatur ubicunque punctum M,
  15. Ordinetur M P, ducaturque hyperbolam tansens MV; exIE V P.
  16. APC m. n. adeoque rursus c tertia liquet Proposirum.
  17. XVI. Oninetiam Si hac altera coordinata paraboliformis, ad basin
  18. EC constituta, ad D B protracta concipiatur, ejus ipsis PC, BI in-
  19. tercepta pars extra hyperbolam tota cadet.
  20. Nam quod exrra hyperbolam infra FC cadit, exinde patet, quod
  21. ipla cum iplius cangente recta F S angulum efficie minorem eo, quem
  22. eadem recta P Setticit cum recta R P. hyperbolam tansente. quod au-
  23. tem eadem alibi, velut ad N, hyperbolae non occurric, patet; quoniam
  24. Cs. hoc polito, (a) ipla intra hyperbolam A N cota contisteret, contra
  25. quam mox oltentum est.
  26. XVII. EIabCanE CircHluS AEB, _ Parabola AE B communem
  27. axem AD, ec balin DB; parabola ad partes supra BD intra C iren-
  28. Tum; at intra BD extra circulum cadet.
  29. Sit enim Circuli Diameter AZ, _ ci xqualis A EI ad BD paralle.
  30. la, ec connectaturZII; _ huic B D producta ad l; ergo DI est
  31. Parameter parabolae A F B. Quod (i supra B D utcunque ducatur recta
  32. EF O R ad B D parallela circulum secans in F, parabolam in F, rectas
  33. AZ, IIZ, InC, _ R, patet esse O E9 = AG XOR= AOXDI
  34. G F 9. unde OF L GF. Trem, B intra BD utcunque ducatuF
  35. recta M ATOL ad BD parallela parabolam secans In M, ciron-
  36. cum in NI, rectas AZ, IIZ in O, _ L, iridem patet eAC NO9
  37. = AOX D IE AO x O L = HO4. e ideo MO
  38. F19. 2420
  39. f636. Bujus al.
  40. Shujus a
  41. FiB. 14T.
  42. F18. 142.
  43. F18. 242

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 98. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0334?run=74