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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 144

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: 0.86.

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

The machine reads it as

  1. L E C F. ZIII.
  2. 3. Curra HLL. I est somisirontus; reliquas icidem ostentat
  3. Schema.
  4. 4. Si AE = A b=
  5. b
  6. 16
  7. 76=
  8. Z: dc AP --
  9. Ordinencurque restae CV, +Z, P T; crun puncta V,
  10. Z, E modi currarum ((I b =5 V 860, decrune nodi X, L; G b = a
  11. 86c; II Coale(CenE).
  12. 5. Ordinatarum ad Curram C L FI maxima est ipCa A C; sin AP
  13. es
  14. _ ordinetur P ad Curram A. M FI; erir
  15. P~ maxima; item (I A = 5 b = V 52 bb.
  16. 2o ad CurraM ANEI, erit O S maxima.
  17. ;_ ordinetur
  18. 6. Ordinatarum ad Curram HI LI maxima est ipTa O T; SIN AP
  19. b
  20. 3
  21. _ ad Curram HI M I Ordinetur PS, exit p Z
  22. maxima; item ( A g = 3 b. ]. N 6 b b - --; _ ordinetur 9d
  23. ad curram HNI, erit qd maxima.
  24. 7. Elinc radicum limires dignolcentur, ue innuitur in iis, quae ad
  25. octaram seriem animadveria sunt.
  26. 8. Patet in Serie duodecima nune eres, modo duas, semper unam
  27. radicem haberi; in decima cerria vero subinde ctuas;, aliquanco cantim
  28. unam, incerdum nullam haberi.
  29. 9. Echaec quidem constant potuo fore L 6; at li - = 6
  30. eranescet Series decimarertia; coalescent puncta HL, C, I; recta A B
  31. hyperbolam R RCK FanSCF; CuEVXque C VHI, II a in rectas lineas
  32. degenerabunt.
  33. 10. Sin -c; etiam eraneseit Series decima tertia, hyperbola RRR
  34. tora intra rectam A B jacente; quo calu curra C. L L erit hyverbola
  35. equilatera, habens centrum O, Temiarem (ipsI A B perpendicula-
  36. rem) OT =. V ACq -- A O9; HINC _E CUIEVX A MM, A NN
  37. ad inFinitUM PPOCUEFENE, Sic ut aequationes, quae in Serie duodecima.
  38. unam seriper, ec unicam radicem obtineant. Ilac luffecerie insinu-
  39. asse; quin e rem toram hactenus particularim aetisisse. Subnecte
  40. musautem notas qualdam aGIS GenETalSS
  41. E18. 218.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 144. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0398?run=74