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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 136

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. d ui ea b
  2. in int
  3. Series quarta.
  4. 1= 1
  5. a_ - CC == n n.
  6. a3 -F CC a = v3.
  7. at . CCa a = nt
  8. Sit recta indetinite PrOtenSa AH, S huic perpendicularis AD.
  9. hiat autem angulus R A HI Pemirectus; cum urcunque ducatur (Z R
  10. ad AD parallela; _ Facto AC. A C:: AC: ZR; Per R intra
  11. angulum D A R describatur hyperbola R Z K; (IHE denNIO CUEYX C L L.
  12. A MM, AN NealeS, uE inter GZ, CK snc media C+L, bimedia
  13. CM, trimedia CH; ha propoliro deserrient. Nam si AG (vel
  14. C2) dicatura, erit R = = a ) - -, _ 6L9 = a a -] 66; 8
  15. OM cub = a3 t cCa; eC N94 = a. cCaA.
  16. Noto
  17. P. Delignantur radices, ut in praecedentibus, posita AF. =n, _ ducta
  18. EF ad AII parallela.
  19. 2. Si AP = A C, erit P Z ad hyperbolam R X K ordinatarum mi
  20. nima; unde s A F (vel n) = PZ; nulla dabitur eadix in primo
  21. Gradu.
  22. 3. CUrVa C LI. est hyperbola aequilatera, cujus centrum A, semi-
  23. axis AC; quae ordinatarum est minima; alioquin (I ME C, Cem-
  24. per una vera radix habetur, et unica.
  25. 4. ReliqUx AMMI, A N N sunt hyperboliformes ad intinitum
  26. excurrentes; unde semper una vera radix habetur, neque plures:
  27. 5. Si tuerir Z a = ZY Z; YC == ZYZ; XY = = L R, e per
  28. puncta a, 6, 2, traductae concipiantur hpperbola Chaberites _ ipsee a-
  29. symptotos D A, AH) a n, 6u, vr; crunt tx ipsarum currarum
  30. C.L L, AMM, ANNI asymptoci. (Similes etiam asympeoti con-
  31. veniune lineis posthac describendis, quanquam de illis conticeamus.)
  32. C:. Fdinc in secundo gradu a )
  33. 2an; in terrio a)
  34. -- = B3
  35. in
  36. ab. - js hue
  37. E18. 2YI.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 136. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0382?run=74