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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 101

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.

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The machine reads it as

  1. 3
  2. D. P C T. FL.
  3. XXV. He speculatio prXesens, ob hajusmodi complures methodos Cy.
  4. olometricas indios promulcatas, aspernanda rideatur, adjungemus con-
  5. sectarium unum vel alterum, quibus Forre solistxc paucula meruerane Fis. 248.
  6. impendi; a quibus nempe Maxima, Minimaque Cui generis innume.
  7. ra deterinantur.
  8. Sit Semicirculus ABZ, cujus centrum C; CIIque segmentum
  9. ADB; _ huic adsexipra paraboliformis A E B, Cujus exPOnenS.
  10. Sicitem AD=
  11. 2 B
  12. M
  13. m n C A; paraboliform:s autem parameter (hOC.
  14. estrecta, cujus aliqua porectas in poteltarem segmenti axis, Peu AD,
  15. ducta conticit potestatem ordinarx, ceu DB) nominetur p; erir pin suo
  16. genere maximum.
  17. Nam urcunque ducarur C F ad D B parallela, _ ad C F pOsira
  18. concipiatur paraboliformis, ipsi A FB coordinata, rujus parameter di-
  19. eacur q. quum exso paraboliformis AFB circulum extrorlum contin-
  20. satus exit OFC C F; adeoque C Fm C GFm; hoc est pm- n X
  21. A C=F qm= n X AO=; Quare pE q.
  22. Norandum est esse p 2 m = 2n = Z Dn X A D m- 2n _ 2m - 2n
  23. =Z.Om X ACm-2n. unde L. D X ADm 2nC ZC m X A Cm -2 n
  24. 2n est maximum.
  25. Exemp. T. Sitn = +, _ m = 3. erit ideo p=e = Z D= X AD =
  26. ZDgX BDq; vel p = Z DXBB. IIem AD-
  27. C A.
  28. 2. Sien = 3, _ m = 10, erit p 2 4 = Z D 0 X A D +
  29. vel pZ =Z DE X A D= = Z D3 XBD+. _ AD
  30. C A.
  31. ZIZVI. Sit item Byperbola (xquilatera) CUIHS CENErUI C, aXis
  32. Z A; e huic inscripta paraboliformis A F B cujus expo Bi8. 149.
  33. nens parameter p; birque AD =
  34. MerIS MaZiUM.
  35. m
  36. n
  37. CA; eriep sui gene-
  38. NaM uECunquE duCatK E G ad B D parallela. _C ad F C= Constituta
  39. intelligatur paraboliformis, ipsi A F B coordinata, cujus parameter q
  40. quum ergo paraboliformis A F B hyperbolam inerorsum continBaE,
  41. quare p 14.
  42. X AC n g =X AC.
  43. Notandism

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 101. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0337?run=74