Introduction to Poincare and Klein Models

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Hyväksyn GeoGebran sopimusehdot ei-kaupallinen lisenssi

• Lataa koneellesi oppilassivu (.zip)

• GeoGebra-tiedostot

  1. Drag points P and Q to show different lines on the Klein Model (.ggb)
     
  2. Drag points P and Q to show different lines on the Poincare Model (.ggb)
     
  3. Drag points to show Euclid's 5th postulate does not hold on the Klein Model (.ggb)
     
  4. Drag points and change the radius of a circle on the tangent lines at those points to show Euclid's 5th postulate does not hold on the Poincare Model (.ggb)
     
  5. Drag points A and B to explore angles on the Klein Model (.ggb)
     
  6. Drag around the point P on the Poincare Disk to see where it's image on the Klein Disk (K) is mapped to. (.ggb)
     
  7. Drag points P and Q on the Poincare Model to see their images on the Klein Model and the lines produced on each model. (.ggb)
     
  8. Drag points P Q and R to explore triangles on the Poincare Model (.ggb)
     
  9. Applet 9 (.ggb)