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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 118

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: 0.89.

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The machine reads it as

  1. I E C T. XVII.
  2. ad ipsami F. C paralloIX ducantur re AX R F, SV; palam est inderer.
  3. minatum punctum Z inter limires T, V consistere (nam exETa TV
  4. punctum quodlibet L accipiendo, _ inde ducendo L IP ad C P paralle-
  5. lam, eric CL, hoc est L P, major quam L l, unde a C ad rectam L I.
  6. nulla duci recta potest aequalis ipli L I). Tam autem dico, quod
  7. punctum Z ad elliplin existir, cujus axis TV, Focus C. Nam bile-
  8. cetur TV in R; tiat VD = TC; ducatur K H ad C P Paralleta;
  9. Pex HI ducatur H N ad C R parallela. FAque RH:
  10. C. F. I. CV.
  11. FR. L. V S
  12. =RT = RV. EE quoniam AV. AI :: (VS.
  13. TR (hoc est):: CV. CT::) CV. DV; erit per rationis Con-
  14. vectionem AV. TV:: C V. CD. rel, consequentes subduplando.
  15. AV. RV:: CV. CK. diridendOgne AR. R V:: RV. CR; hoc est
  16. AR. RH:: R II. CR. hoc est HN. NO:: KH. CR. quare
  17. RHI X NC = C K x II I =-CRX RX. atqui eA C Z9 = XO9
  18. ==RH9us NC9. ]. 2RHX NC. _ C X9 ==CR9-). K Z9
  19. p. 2 CR X RX = CK9. ). R29 .(.2 K H X N C. ergo
  20. RH9 .s NC9 - CR9 = R =9 == CZ9-CX9 =X29.
  21. Adalteras BisegmentI R paEEeS SLIMatuIE R E =X Z, ducaturque EV ad
  22. RHI parallela, secans curram T F Z V in C, _ rectam A HI in v, ac
  23. iptam NEino; erir quoque, simili ex discurtu, ECg =RH9. ]
  24. Vg9- CR9 -KEQ; unde liquet Fore EC =XZ; connexisque
  25. proinde rectis C2, DC, erit D6 =CZ; _ C7. f. CZ = 57 :)
  26. 2C == 2 RHI = TV. eroD CC. f. DE (velDZ .f. CZ) =-TV.
  27. unde perspicitur curvam TEZ V esse ollipsin, cujus axis IV; foci
  28. C3D.
  29. TII. Sic autem secundo angulus C A E major semirecto (vel AC
  30. CP) dico puntum Z ad oppolitas hyperbolas, consimili modo
  31. decerminabiles, existere. enimvero Factis (ad utramque rectx C A
  32. paeFH) angulis Pemirectis AC P; _ (ab iptarum C P cum A F
  33. Occursibus) ductis rectis RT, SV ad C F parallelis, punctum X
  34. extra limices TV necessario consicter (etenim ubivis inera I V duet a
  35. TIP ad C P parallela, erir LI SLP, ideoque nulla par ipsi LY
  36. ansulo A LITubrendi porest; id quod extra terminos holcenil pro-
  37. tibet feri) eric jam TV aris, de C focus hyperbolarum. Fiane
  38. enim omnia; qua in casu praecedente; exirque rursus hic RH-
  39. RV. irem ob AV. AT:: C V. DV; ec (inverse componendo)
  40. 18. 791.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 118. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0190?run=74