Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 176

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: 0.91.

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The machine reads it as

  1. E L. E ME. C U R Y A R U H
  2. Corollarium 4.
  3. Constat praeterea, assumpeae cujussibet diametri parametruI
  4. esle rertiam proportionalem duabus rectis, quarum una est vel
  5. axis vel data diametri porrio, intercepta inter ejuldem verticem
  6. e cam, quae P’arabolam in assumpex diametri termino contingit,
  7. altera vero ea praedicta contingentis pars, quae inter dataim d
  8. in Lu. 2umpeam diametrum inceriacet. Demonstratum enim est
  9. rectam MI, ex eo quod ipsis AI, IM certia sit proportionalis,
  10. alumpex uccunque diametri MO paramerrum eAe.
  11. Corollarium 5.
  12. Fx demonstratis quoque non difficulter collisitur, quo pacto;
  13. datà politione qualibet Parabola diametro, ejusque verrice, et
  14. latere recto, nec non angulo, quem taciune ordinatim ad dictam
  15. diametrum applicatae, alia ejuldem P’arabola diamerer, quacum
  16. applicata alium quemlibet angulum constituane, ac iplius ver-
  17. tex, e latus rectum inveniantur. Si enim data politione diame-
  18. ETOMIO, VerTICO MI, _E laEerC RCCEOMTK, anouloque SMIK vel
  19. V MK, quem applicatae faciune ad dictam diametrum MO,
  20. aliam ejusdem Parabola diametrum invenire oporteat, quacum
  21. applicata angulum constituant aqualem dato cuilibet angulo
  22. ABM: ducatur a terminoR adS V recta I P in angulOR V V
  23. ipsi dato A BM aequali, dirisaque PM bitariam in L duCatUF per
  24. Trecta IB ipli MO aequidistans. Deinde ab M ad candem IB
  25. applicetur recta M B in angulo M B Idaco angulo aequali, divisi-
  26. que BIbitariam in A, erit quae lica diameter AB, vertex punctum
  27. A, ejusque parameter AC, recta nempe, quae ipsIS AB, BM ter-
  28. tia proportionalis existit. FA enim = punctum M in P’arabola,
  29. qua efficiente ip(i B MI Parallela ac intervallo A C describieur, quan-
  30. doquidem quadratum applicatae B M ex constructione rectan-
  31. sulo C AB est aequale. Deinde quoniam limilia Cune criangula
  32. BIM_ PMK, ob aquales angulos ad B _ P (ex constructione)
  33. 4 per 29 pri- acque ad L_M + (ob parallelas AD, M O), erit ut BIad LM,
  34. mi.
  35. per asexs; Ita PM ad MK. _, Cumpris antecedentium dimidiis, ur A I ad
  36. in 2 bujus. LMI, Ita TMI ad MK. Ouare secundum ca gua superiis s demon-
  37. sraca lune, Parabolae diametris AB, MO, ac parametris AC,
  38. MB
  39. Jus.
  40. Per TBu
  41. 3Per 17
  42. sexti.

Cite

Ps. 2, fol. 176. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0200?run=74