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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 50

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: 0.82.

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

The machine reads it as

  1. F18. 46.
  2. P. C
  3. d =m. vel dy-xy = xx. Aliaquae dam hic (nonnulla FOrtan i a 5lp 3Co5)
  4. inseremus.
  5. ZIII. Sic positione data recta YD, sit item curra DN NI calis
  6. ut in ID Cumpro puncto quopiam C, duct aque rectâ C N ad politio
  7. nem datam lK parallelâ; sumpeisque determinaris lineis e, m, r
  8. Potirisque DC = x, _G N = y; Cir perpetim y x g x - m y=
  9. XX; linea D N N erit hyperbola, sic determinabilis: SumatuE
  10. DM = m; Pe MI duCaTYM L ad LK paralleta; _ in hac acci-
  11. Piatur MC.
  12. 2Z =
  13. M n
  14. de
  15. : _ TIL OY =M Q; _ ab M Y auteratur
  16. S; connexaque O D, ducatur Z P ad OD parallela; CxUNE
  17. ZM, L T asimptoci.
  18. Nam ducatur Z S ad AI D parallela; cui occurrat C N producta in
  19. R (sed _C R iplam Z T Cecet in P). FAque jam PN = R C-
  20. RP GN=
  21. m m
  22. e
  23. M X
  24. = y. adeoque PH X MC =
  25. M s ) y ∞ -) 8X - m y
  26. M
  27. M
  28. ∞ X = M _ 0. =
  29. = DM X Z O. unde PN. ZO:: (DM. MC::) OD.
  30. ZP, erGOPNX ZP =ZOX OD. Liquerigitur curram D. IN
  31. esse hyperbolam, cujus asymptoti Z M, Z. I.
  32. Sixequario sit = 7 2 -) g x. J. my = - X x; eadem erit Byper-
  33. bola. Sed puncta C inter B, M tunc accipiuneur; e ita prout aliis
  34. ac aliis locis puncta C delignantur, xquarionis signa variantur; at
  35. non est ea jam exponendi locus.
  36. ZIV. Potitione datae sint rectae DB, BA; perque rectam D B
  37. Feratur recta C X ad B A Parallela; item per punctum D rorando
  38. transeat recta DY, sic iplam B A secanS in P, ut lic intex rectas B F.
  39. DC eadem semper proportio (puta quae cujusdam assignatX R ad DB)
  40. rectae vero D F, C. X se incerlecent punctis H; erir linca D NN Pa-
  41. rabola.
  42. PTam (ER, DB:: DB. P. Fst ergd BE. DC:: DB. P. Item
  43. eAtDB. BEE: D C. C. HI. ergODB. BF ] BB. DC =DC..
  44. P

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 50. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0262?run=74