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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 97

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: 0.84.

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

The machine reads it as

  1. L. R C T. ZI.
  2. RO. AC:: (a) m. n:: FD. AD (B) C SC. AO. quare RC (4) 2. Mga.
  3. E SC. Unde (C) PaTCE FOTA A F B extra circulum A E B jacerc.
  4. Z. Reliquis iridem Ptantibus, S ad balin 3 F (uccunque parallelam
  5. ip(IDB) Sc axem AD concticuca intelligacur paraboliformis ejuldem cum FI8. 139.
  6. ipla AEB generis (nempe cujus etiam exponens,) illa ad. ParteS A
  7. supra GF, extra circulum cota jacebit.
  8. Nam in arcu. A F accepto quocunque puncto M, ductague MP ad
  9. FC parallelâ, _ M V circulum cansente; eAt V P. AP - 35C.
  10. AC = = RO. AC:: m. n; (a) itaque rurtus liquet ProPOlI (a) 3. Bujus ap.
  11. tum.
  12. ZI. Consectatur etiam dictam (ip(I A F B coordinaram e ad ba-
  13. Cin C. P constituram) paraboliformem intra 6 F. ad DB ProtraCtaM, Fi8. 139.
  14. catenus inera Circulum cotam cadere,
  15. Ouod intra Circulum Ctarim intra P C cadet ex eo pater, quod ipsam
  16. tangens R F circulum secar (quia niempe S P circulum cangic). Quod
  17. alibi C irculo non occurret hinc pater; quonium poliro quod occurrat
  18. uspiam ad N, (a) cora supra N exrra circulum caderet, contra quam (a) 3. hujus ax.
  19. modo dictum ac ostensum est.
  20. XIL. POrTO, Fyperbolae A F B (CujuIS CeNEru C) _ parabolifor-
  21. mis AF B, Cujus exponens
  22. n n
  23. n communes sinc axis AD, basISDB:
  24. m- n CA; e B E hyperbolam TAHSAE; haeC
  25. Sit autem AD = =
  26. quoque paraboliformem AEB continset.
  27. Nam est C:D. C A:: C A. C T. ac inde AD. TA:: CD. CA; inverséq.
  28. componendo TD. AD :: C A - ]. C D. CD. Veruim ex hypo.
  29. thesi, est m = n. 2 n = m:: C A. C D. adeoque inVerSE COMDO-
  30. nendo C A. C D:: m - n. n; _ rurtus componendo C A -1 CD..
  31. CD:: m. n. hoc est FD. AD:: m. n. unde B T hyperboliformem
  32. conrinsit.
  33. ZIII. Finc rursu dats ratione ip(uS A D ad C A, paraboliformis
  34. ad punctum B hrpe bolam contingens dessgnabitur. nempe (IC AD =
  35. C A; exit
  36. M
  37. S
  38. 5
  39. Nam hoc suppolito erit (5avpnsor
  40. mul.
  41. ap
  42. (B) 5. hujus aP.
  43. (C) 3. bujus ap.
  44. C18. 240.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 97. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0333?run=74