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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 123

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: 0.86.

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

The machine reads it as

  1. es E C20. L2110
  2. Exemp. II.
  3. Sit L oou quadrans et habere debeat YP ad P M ratiO.
  4. nem eandem quam P Pad R; elt erso P Y aequalis tangenti arcis CF;
  5. e spat. A P Y Y = R X arC. AF. adeoque P M = arC. AF.
  6. PrODV. LLL
  7. Proxonatur figura quaelibet ADB (cujus axis AD, basis D B) Eig. 185.
  8. rEPETIatUIE CUrVa R Z L, Proprietate ralis, ut ducta recta L P M ad
  9. D B utcunque Parallela quae lincas expolitas secet ut cernis) politoque
  10. rectam Z E LaNSCRE CUrraI RZL, CI intercepta Y P aqualis ipsa
  11. P M.
  12. Hocita perficietur. Sit curra O Y Y calis, ut ad sumpra quadam
  13. R, DrOtractaqUE PM Y, SIEPM. R:: R. P Y. tum libere ad sump-
  14. EaDL (in B D prOTeNSI) (IDL. R:: R. L. F; _ asymptoris D L.
  15. DC per F describatur FIyperbola F X X, cum (It spatium LFXII X
  16. quale spario DO Y P, Se prorractae XII, YP concurrant in L; erit
  17. Z in curra quaelita; quam litangat Z T, erit T P = P M.
  18. AdnOtetur, S propolita Fioura Tut rectanculum Paralleloerammum
  19. AD B C, quod CARVXR Z L haeC erit prOprietaS, uE sIE D HI eodem
  20. ordine inter DI, DO media Geomerrice proportionalis, quo DP F18. 166,
  21. inter D a 80 (Ceu nihilum) cA media Arithmerice; quod si libere
  22. juxta proprietarem hanc deseribatur Curra RZL, e Mechanice re-
  23. Periacur ransens Z. T, inde quadrabitur hyperbolicum spatium LE. XHI;
  24. exit utique hoc x quale rectangnio CxTP, AP.
  25. Subnotari possIE FOTE L. SpaF. ADLR = R XDL = DO. 2. Sum.
  26. MaMZ P 9 == RX: -
  27. DECaB. - DO cub.
  28. 4. _ Tummam Z. P cub. = R X
  29. _c. 3. Siponatur e esse centrum gr. Figu-
  30. ra ADL R, ducancur que . t 2d AD, _x pE ad DL perpendicu-
  31. lares, fore e it =
  32. L.
  33. 3de PE = R.
  34. A D XD
  35. Probl.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 123. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0365?run=74