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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 139

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. L. RCF. XIII:
  2. 4. Consequenter in harum secundo sradu AIn C, 0; interrio, CIn
  3. ocv
  4. toAnE
  5. 56
  6. 56
  7. 3 = 30c4-
  8. m
  9. 16
  10. 6
  11. 27
  12. 27 8, in quar
  13. F et nulla radix habetur; unam in ictis
  14. calibus recta P. F curras supergreditur, nec iis occurrit.
  15. 5. Itidem in his omnibus maxima possibilis radix est AII = AC.
  16. 6. Curra C TH est Cirouli quadrans, reliqua AMHI, AN E
  17. quodammodo ruxnonictis.
  18. 7. Ad sexram seriem perrinentium curra FIL L est Byperbola aeque
  19. latera, cujus axis ATI; reliquae sunt PEyperboliformes. Unde quoad
  20. hanc Periem liquent Cxtera.
  21. Series seplima.
  22. a -= b) = n.
  23. aa) b a - (- C6 = n n.
  24. a + b a a CCa = n
  25. a +- ba 66a a = B , eCC.
  26. In recta B A EI indetinite prOtensa capiatur AB = b; _ in AD 5j8, 27a
  27. ad BII perpendiculari sIE A C- =0; sint etiam anguli HIAR, IIBS Semi.
  28. recti, cum arbitrarie ducta C Y ad AHI perpendiculari quae ipsam
  29. BSsccet in Y; HaE A G. AC:: A C. PR; _ per K incra angulum
  30. DV Sdescribatur Byperbola R R R 3 SIE deMUM CUErZ CL. L, ANM,
  31. ANN tales, ut inter A C (vel C Z) _ GR SII media C L, bime-
  32. dia CM, trimedia CN; hae Caristacient negorio. Nam CAt ( R = a
  33. F b-; CL q = a a - . ba + c6; e C M cub = a3 + baa
  34. cca; _C NV99 = at- + ba3. 66aA.
  35. NoF.
  36. F. Secundi gradtus curra C L. L eR pars Byperbolae aeguilatera cujus
  37. centrum O, iplam A B bisecans; ex siquidem A C L AO, eAt OFI
  38. (ad a B perpendicularis, _) = V ACq = AO gejus semiaxis;
  39. lin A C = D A O, ejus axis est OI = V AO9 = A C 9. reliquae
  40. VerO CUErX AMM, A N N sunc hyperboliformes.
  41. 2 dLLIAC

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 139. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0389?run=74