Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 291

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: 0.83.

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

The machine reads it as

  1. ri
  2. p
  3. I F B. II. C A P. TII.
  4. Sulum FIMO ∞ CCZZ eea
  5. au b: hinc cum ex natura Lyperboles
  6. Sic utlatus rectum ad tranlverlum, sire ut bb ad ee, ita M F qua-
  7. dracum, id est, vr, ad praedictum rectangulum HIM O: erir
  8. ecvV CCZZ eeat
  9. bb3
  10. qb4 e multiplicatis omnibus terminis per aa
  11. Factoque per cedirilo,
  12. aa00
  13. vy
  14. a0
  15. bb ∞2 p Dein restitutoy
  16. in locum ipluIs Z, exurset
  17. YV V
  18. BB ∞yy - 243y
  19. 60; adeoque, multi-
  20. plicatis omnibus per b b, Factoque diriso per aa, habebieur
  21. VV∞
  22. 2 a
  23. == 2 ay. Denique restituto x -- in locum ipliuSV,
  24. expunctisque iis qua se inricem destruune, atque omnibus rite
  25. Ordinatis, tet W N L 2 ay ∞=
  26. . Ouodtuit propolicum.
  27. P R O B L E M A IL
  28. Propositio 16.
  29. Datis duobus punctis certium invenire, a 9uo 2d
  30. bina data ductx rectae lincae dato differant intcrrallo,
  31. locumque decerminare ac describere, quem quaesitum.
  32. punctum contingat.
  33. Sint data duo puncta A e B, oporteatque invenire tertium, ut-
  34. Duca C, Uanempeuc duex rectae C A, C B differant datointer-
  35. raliloFC (eu AD.
  36. Ouoniam in quaectione angulus datus non est, quo Facilior (IE
  37. operatio, assumatur rectus, ideoque a puncto C in rectam A B,
  38. qua data puncta conjunsit, productam, siopus fuerie, intellisa-
  39. cur demicsa perpendicularis, uc C F; cum, suppolitis, juxta Re-
  40. sulam, AF X F. C incognitis atque indeterminatis, assumpeum
  41. angulum A F. C comprehendentibus, tanquam cognitis ac deter-
  42. inatiS, CaTUM PTIOF, NIIIFUI AF, VOCCtUE X, ac PolterIOE,
  43. nempe EC, nominetury, ipsa autem AB, seu datorum puncto-
  44. rum coenita distantia, rocetura, _e data FC sive A D exprima-
  45. tuT Per b. FIinc cum BF sive (si punctum B CadAEINEOF A _ F.)
  46. AF = AB, auc ((i punCtu P inter A e B cad at) AB - AP (IE
  47. C
  48. ∞ X

Cite

Ps. 2, fol. 291. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0315?run=74