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Outline

  1. Variations on implicit loci in a triangle
    1. Thales' theorem
    2. Converse of the Pythagorean theorem
    3. Combining Thales and Pythagoras
    4. Bisector (isosceles triangle)
    5. Appollonius' circle
    6. Triangle inequality
    7. An ellipse
    8. A hyperbola
    9. A lemniscate
    10. Bisector via angles (isosceles triangle)
    11. Funny curves

Variations on implicit loci in a triangle

Author:Zoltán Kovács
GeoGebra's LocusEquation command provides an easy way to get implicit locus of a condition and a mover point. This collection of applets shows basic applications of this command: all of them can be demonstrated in a classrom in the secondary school.

  • Thales' theorem

  • Converse of the Pythagorean theorem

  • Combining Thales and Pythagoras

  • Bisector (isosceles triangle)

  • Appollonius' circle

  • Triangle inequality

  • An ellipse

  • A hyperbola

  • A lemniscate

  • Bisector via angles (isosceles triangle)

  • Funny curves

Next
Thales' theorem

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