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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 125

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: 0.85.

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

The machine reads it as

  1. Is
  2. b
  3. Ro E C T. XII.
  4. recta DB, (E D B. R: :LL. B F (BIF autem BE, uF _C DH ipAV D
  5. Derpendicularis) tum per P, angulo BD H inclusa, transeat hyperea
  6. FX X; Cirque sparium B L XI (polica nempe lX ad B P puron
  7. aequale duplo spatio Z D L siF denuo D M ==DC; CrIE NNAHCMI
  8. ra quaelica; quam uriquue I CatE AE reCtA T M, exit FD. D M.
  9. Probl. V
  10. Sit rurtus spatium F DC (ut in prxecedente) reperienda est curra
  11. AM B, ad quam si projiciatur recta D NM, _ (IF D T huic perpen-
  12. dicularis, _ M T CUrVam A M BTanSAL, fUCTIED T == DN.
  13. Adtumatur quaepiam R, _ SIFDZ 4 =
  14. (cui perpendiculares DL, BF = R3
  15. DTT3 ITEM ACCCDTa D B
  16. OB9 per F incra asymptotos
  17. DB, D FI deleribatur hyperboliformis secundi generis (in qua nempe
  18. ordinatx; ceu B P, vel IX, (int quartae proporcionales in rarione D B
  19. ad RE, vel D C ad R) cum capiatur sparium BIX F aequale duplo
  20. ZDL.; _ (It D M = D I; exit M in curra qualica; quam ( can-
  21. SaEMT, exIFD T = DN.
  22. L18. 288.
  23. Probl. V.
  24. SicFigura quaeris A DB (cujus avis AD, basis D B) _ utcunque (i1s. 789
  25. ducta PM ad DB paralleta datum sir (seu expressum quomodocunqué)
  26. spatium AP M, oporret hinc ordinaram P M extibere, vel expri-
  27. MerE.
  28. ACCepEa quagiam R, SIER X P Z = A P M; hinc emergat linea
  29. AZZ R; huic perpendicularis reveriatuZ O; cum erie PZ. PO
  30. S: R. F M.
  31. ExCMP. AP VOCETUE X _C (IE A P M = V rX, ergo P L = V
  32. ; unde reperietur PO =
  33. a X
  34. . EAque ..
  35. 3 X X
  36. : r. Z Y r x = P M. unde A M B est Parabola, cujus Pa-
  37. rameter est 4r.
  38. Aliter.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 125. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0367?run=74