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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 47

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: 0.90.

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

The machine reads it as

  1. L. R C F. VI.
  2. DEXHO erGO DTIXBE L DHXRO =D F XHIO; hoc cAE
  3. DHXBE L DHXHO - -DEIXBL =DE X IIO; transpo-
  4. vendo isicur eA DH X HO -DF X HO =DIIX BI = DIIX
  5. BF. hoc eAt FHIXHO = DH XFL; vel F HIX CO. ]. FH X E1B. 39.
  6. HO =DEX FL J.. F:TIX FL; quare, dempeis xqualibus, eAt F HI
  7. 26O = DExEL; vel ZG XGO =DEX FL; cum itaque
  8. DEx FL Ci quid decerminatum, constar lincam OBO esse hy-
  9. perbolam, cujus alymerori L. R, 25.
  10. V. Si MO capiatur ad alteras recta B C PArTES, CtiaM DF.
  11. BF ad alteras punctorum D, B parres accipi debent; uti Schema Fiz. 40.
  12. monstrat; nec abludie modus demonstrandi.
  13. VI. Consectarium. Si recta BO angulum AB C. secet, per-
  14. que punctum D ducaneur atcunque dux rectA M N, X Y rectam F18. A1
  15. BQ incersecantes punctis OP (quorura utique sic O propius ip-
  16. si B) erit MNT. MO = XY. XP. Nam per O descripta con
  17. cipiatur Bxperbola VOB (qualem jam mox artisimus, sic ut inter-
  18. ceptae rarionem habeane illam quam M N ad M O) erit igitur
  19. MN. MO:: (XY, ZV) -1XY. XP.
  20. Coroll. Diridendo eA HO. MO = ZP. PZ.
  21. VH. Ouinimo si plures linex BC, BC angulum A B C secenE; FiB 42.
  22. e a puncto D projiciantur rectae DN, DY (quae rectas alteras
  23. intersecant ue vides; quarimque D N puncto B vicinior;) eric
  24. NF. HOYP. VX.
  25. Nam NF. EOmy ZF. FV; _ FO. OM - FV. VX: i
  26. BituE CX XqUO CA N F. OM = IYF. V X. II
  27. VIII. Eriam exinde Paret, per B (ad partes alterurras) rectam.
  28. duci posse; ita ut e D eductarum partes ab illa rectaque B C ad.
  29. interceptas a rectis BA, BC rarionem habeant minorem quapi-
  30. am data.
  31. Nam SUMaTuT P ( == PZ; ergo connexa BO hyperbolam O.
  32. BO rangit; e liquet a rectis BC, BC. interceptas ad intercep.
  33. 1a5 d BC, B A minorem rationem habere, quam habene inter-
  34. ceprae ab. hiyperbola O BO ec recta BC ad ealdem; hoc est mi
  35. norem data quapiam.
  36. IX. Sic rursum angulus rectilineus A BC, et punctum D; icem B1B. 430.
  37. dinea

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 47. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0259?run=74