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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 133

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: 0.83.

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

The machine reads it as

  1. E. F C T. ZIII.
  2. GZ, CR media C:C, bimedia G MI. trimedia GVF. prODOTtRS X-
  3. quationes explicabune hae linexe. Nam (i A. C, (vel (,Z) vOcetUEA;
  4. erit BC (vel CR) == a - b, _ CL9 = a a = ba; e CM cab.
  5. = a3 = baa 6Igq = a - b a.
  6. Not
  7. 2. Ducta A D ad AIperpendiculari, _ F F ad AI parallela, (
  8. A E ponatur aequalis ip(In; CrUNEF R, P. L, F M, P. N radices xqua-
  9. tionum respectirx, seu aequales quaesitis a.
  10. 2. Ouoniam ordinata GK C: L, CM, CNI a termino B verluS I
  11. intinire excrescunt, semper haberur una vera radix, de unica.
  12. 3. Cuera BL L est hyperbola agnilatera, cujus axis AB, reliquae
  13. currae sunt hyporboliformes.
  14. 4. Si A B bisecetur in O, trisecetur in P, quadrisecetur in 2, du-
  15. canturque ad A R Parallela OT, P V, 9Z, erunc lx currarum BL. L,
  16. BMM, BAIN asymptoti.
  17. 5. Flinc sequitur in secundo gradu FOrC a L n. ] -; in tertio
  18. a= n.)
  19. ; in quarTOA = n . ) .; quod sin Patis magna CIE,
  20. istx inxqualitares ad xe qualiratem proxime accedunt.
  21. 6. Verarum in his radicum habetur minima; scilice ipta AB, vel b.
  22. Series tertia
  23. b- a = 1.
  24. Circ
  25. eto bo
  26. baa - a = n
  27. ba a = 1 aC.
  28. Sit. LLB = b, e anguli A A _ DDLL Mmirecti; cum currE
  29. ALB, A MB, A N Bcales, uc ducla lccla CH aL acique
  30. derpendiculart (quae lincas expolitas lecet, ut vides) lcinter AC
  31. P18, 280.
  32. PeuC,Z) _C. R media Cile num M, trimedia ON: prO-
  33. Politas xequariones explicatas dabunt hxelinex. Nam polito fore AC
  34. b aa. CL4= bid
  35. =a, exit GR = b - a; lG = bB a a: e 6 N9=
  36. 2TOt.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 133. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0379?run=74