Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 211

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: 0.89.

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

The machine reads it as

  1. LLa vel L. P
  2. L T B. I. C A P. III.
  3. 2. +Y
  4. ad eranvertam diametrum perpendicularis, Fer ue a in casu
  5. ACrLahgMMLL velML Po rectaML, id eAt, perpendicu- FB. L dt H
  6. miliB.
  7. lariSF A a vel HICB, major sic = quam L. I a vel L P b; adeo b in casu
  8. ut punctum L, quod in curra uccunque assumptum eAt, id cA, A3. II L d
  9. limilib.
  10. EOTa EILipLIS, Praeter F a auc HI. b punctum, intra ductam ST,. per 18 pri
  11. Teu versus Ellipseos centrum, cadat.
  12. Corollarium 3.
  13. Mameum Quoque elt in Ellipsi applicatarum quadrata ad
  14. se inricem esse, ur rectangula sub diametri portionibus per ap-
  15. plicatas factis. TIE si applicatae sint L. I, W Z, erit quadratum
  16. WVX ad rectangulum DXF, uc quadratum L. I ad rectangulum
  17. mi.
  18. DTE: cum utriulque ratio sit eadem quae quadrati PG a vel 2 per 13
  19. IIC ad quadratum DF, Sive quae parametri ad tranlvertam hujus.
  20. diametrum; ideoque e permutatim W X quadratum ad L I qua-
  21. dratum, ut D X P. rectansulum ad D PF rectangulum.
  22. Corollarium 4.
  23. Constar etiam ordinatim ad axem sire diametrum applicatas
  24. utrinque ad Flliplin productas ab axc sive diametro bitariam se-
  25. cari. UE, si applicata L Iproducta FIlipsi occurrat in V, quoniam
  26. e3 quadracum L. I ad rectangulum DIF, ut quadratum V I3 per Cor.
  27. ad idem DIF rectangulum, erit + quadratum L. L aequale qua- Praeced.
  28. drato VI, ideoque a ipla recta L L ipsi rectae VL aequalis.
  29. Corollarium 5.
  30. Duintr.
  31. Constac Porto, applICataS FIlipsi in pluribus quam duobus
  32. punctisnon occurrere. Si enim LTV alio sui puncto praeter L
  33. + per d
  34. ee V, exempli gratia punctoZ, in FIlipsi eNet, rectae IL _ IZ 5, 5 per Cor.
  35. ideoque LV e IZ. pars e totum, aqualestorent, quod est ab- praecedens.
  36. Turdu.
  37. Corollarium 6.
  38. end atobio pocto colle, Et ab Cacletac Calrecta ca
  39. ACETIS

Cite

Ps. 2, fol. 211. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0235?run=74