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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 132

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. E C F. XII
  2. Notetur anutem,
  3. I. Ducta A D ad B FI perpendiculari, (I in haC CapIatUE A F =- 1 3
  4. ducaturque F: F ad A HI parallela; hujus cum lineis expolicis interse-
  5. etiones requationum proxolitarum radices exhibebune respectire; erit
  6. utique FR, vel FL, vel FM, rel FN aequalis ipli as
  7. HOC est ipsis AC, concipiendo a singula intersectione deduci ad A FI
  8. Derpendiculares, quae puneta C determinet.
  9. 2. Duo punctum C magis a termino A remoretur (dc quidem potest
  10. C A delumi quaris desisnata major) eo ordinatae CK, GL, GMI, ON
  11. masis inerescunt; adeo ue quantacunque ponatur A F, Parallela F F
  12. curris occurtura lit; ex proinde semper habetur vera radix iltarum
  13. aequationum cuilibet conveniens; e ea tantum una, quoniam F F
  14. curras iltas unico puncto intersecat.
  15. 3. Curva AL. L ect hyperbola aequilatera, cujus axis AB, reliquae
  16. A MM, A NY N sunc hiperboliformes.
  17. 4. Si AO sIF Z AB; _E AP = 3 AB, ∞ AO = + AB, du-
  18. canturque OT, PV, O X ad BS parallelae, erunt hae currarum AI. L
  19. AMM, ANLI asymptotI.
  20. 5. Flinc constat in secundo gradu Fore a L n. - - ; intertIOAL
  21. n. - -; In quaTEO aC n- -, quae tamen inxe qualirates, si A L.
  22. benemagna (IC, exisUR erUNE.
  23. 6. A.quationibus istis nulla competit maxima, vel minima.
  24. E18. 206.
  25. B =
  26. Hrp
  27. Fir. 207.
  28. Series secunda
  29. b: p
  30. aa ba = nn.
  31. a iio-
  32. = ba , _C.
  33. Sit ruTSUS A B =b; Sc indetinite prorratatur A B versus 1, _
  34. tihE anouli EE A l, SD , cun concipiantur curra BL L
  35. BMM, B NNTtales, ut R utcunque ducatur C Z ad AI perpendicu-
  36. laris (diet as lineas sccats, c cla Punetstu, Lo A lV, C)
  37. d23

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 132. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0374?run=74