Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 314

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. 374
  2. E L. E. HI. C. U R Y A R U M
  3. SeUI AM SE = Parameter que sectionis erit rectaner.
  4. lum sub Parametro de recta DO contentum ∞ d X. Cumque
  5. idem illud rectangulum aeguetur quadrato applicatae OF vel
  6. . OBE, id est, Z7: eric;
  7. 73
  8. ∞ d X.
  9. Octaro calu, ubi, manente rerrice in puncto D, diameter
  10. est in recta DP, quoniam AD Peu B K est DC, _ R P ∞=
  11. erIt PEuna (Sire BF - BK -L R P) ∞y -- c + =, _PF al.
  12. cera (sire BF L BR - KP) ∞ y +c- =. Cum que Cocatu
  13. altuumpEa (IC PTOy .+ = -c vel prOy -- = FC: CricutraquC
  14. PF ∞Z. POTrO CUI DP SCU AM SIT ∞ =, aC PaLaMeteF ∞ =
  15. 3
  16. eric rectangulum sub ParametrO _ reCtA DP contentum D d X
  17. Cumque idem rectansulum ae quale sit quadrato ucriusque ap-
  18. 3. Plicatae P F, hoc est, ZZ: eric quoque ZZ ∞ d X.
  19. Nonocalu, ubi vertex est in puncto L. de diameter in recta
  20. 2Ovel OP, quoniam, uc Tupra, OF est ∞y - - c, atque
  21. OBF∞y - = FC; aC reio PE una ∞y - c- F =, aC P F al-
  22. cera ∞y. + c - =, siE que eo ca(u Z a NUMPLA PFOy 8 = 8c:
  23. erIEOE, OBE, atque utraque P P ∞ Z. PECUMDO AUEDP
  24. seu AM lic ∞ =, at que DO TCu AN ∞ =: erit OO vel OP
  25. Choc est, obserrata juxta Regulam triplici distinctione, DO
  26. vel DP B D, atque etiam () D --DO vel DP) aequalis
  27. ex
  28. efs
  29. E a d atque etiam
  30. ad
  31. .UInde si eadem O vel OP
  32. mulciplicetur per Parametrum x=, erit rectangulum ∞ dx
  33. 8 ff, acque etiam ff- d x. Ouod quidem rectangulum cum
  34. aequale sic quadrato applicatae OF, O B F, aut utriu (que PF,
  35. D: hoc ett, 7Z: erir quoque Z7 ∞ dx 8 ff, atque Z7∞ ff - d X.
  36. Dux quidem omnia lune, quae hic demonstranda crant.
  37. Ouod aurem ad aequationes superioribus norem casibus
  38. conversum correspondentes spectat, ut linea Parabolicae de-
  39. Ccribaneur, quae sine Loca guae lita: Poliris iildem, ut supra, per
  40. punctum

Cite

Ps. 2, fol. 314. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0338?run=74