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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 82

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.

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The machine reads it as

  1. Ei8. 227.
  2. l B C F. Z.
  3. abjicienda) = 2rrm a = - 4 40 - 2gq m a = 2g m mo. Vel
  4. rrma - 4qm a = 2 gc - gmme; vel denuo substicuendo m
  5. Proa, et proc, AAtrrmm -49mm = 2gt qm nt; vel
  6. rrmm-G4m m
  7. 29 qmm
  8. =FT.
  9. Exemp. II.
  10. Sit recta F A (posirione ac magnitudine dara) _ CvrVa F MIO
  11. proprietare talis, ut ab ea utcunque duet a rectâ M P ad F A perpen-
  12. diculari Summa C AbOrUM CX AP, _C M P aequetur C ubo rectae AF.
  13. NOMIneNEE A F = r, AP =f; unde AO - f. ). c; X AO
  14. cub. = f - - 3ff0 - 3f0 c.) e; (seu abjectis superAnis, ex prae-
  15. scripto) = f3. j- 3ffc. Irem N Ocub. = cub. M - a = m-
  16. 3 m m a. 3m a a - a (hoc est) = m- 3m m a. Quaproprer
  17. est f3. 1. 3f fe F m L 3 mma = (A cub. + N C cub. =
  18. A ECuB. =) r abjectisque datis, est 3 ffe = = 3 m m a = 0.
  19. Peu, ffe = mma; lubrosatisque loco a, ec c ipsism, et, exit
  20. Fft =m; seut = fC; eAt ergo P T quarta proportionalis in ratio-
  21. ne A P ad P M continuata.
  22. Similicer, Si fuerit AP 9g. J. MP 49 = AFgq; reperietur
  23. EOrCPT = 73; vel PM quarea proportionalis in rarionc AP ad
  24. PM; ac ita porro; quod de Cgeloformibus iltis lineis an obserratu:
  25. dionum Cit nelcio.
  26. Dig. 218.
  27. L. C alande
  28. Exemp. ITI.
  29. ositione data sir recta A2, et A X magnicudine; sIC exiam curVa
  30. MOralis, ue ducta utcunque recta M P ad A Z. norrali, SIE AP
  31. cMb. P M Cnb. = A X X AP XP M.
  32. DiCanEUE A X = b; _ AP = f; ergo AG = f e; BC AO
  33. 6ub. =
  34. 3
  35. ; OH cub. = m - 3 m m a. CC A OX
  36. DI = - Fm - Fa - m e -) aC = f m = fa = m C;, unde A X X
  37. A ZX
  38. =bfm -- bf a - bm e; hinc aequacio f - 3ff0
  39. L m = 3mm a = bf m - b5 a -bme; teu aioliendo rese
  40. ctariea

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 82. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0306?run=74