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Inverse of a Hyperbola

Inverse of a Hyperbola
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2015-04-26 05:44
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the inverse of a hyperbola. Key mathematical concepts include hyperbolas and their inverses. Using GeoGebra commands such as Hyperbola, Mirror, and Locus, the construction of the hyperbola and its inverse is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Hyperbola(F_1, F_2, C) → c
  2. Circle(O_c, D) → d
  3. Point(c) → M
  4. Mirror(M, d) → M'
  5. Locus(M', M) → loc1
  6. Segment(F_2, F_1) → a
  7. Midpoint(a) → F
  8. Polygon(Corner[1], Corner[2], (x(Corner[2]), y(Corner[2]) + (0.28 * Distance[Corner[3], Corner[2]])), (x(Corner[4]), y(Corner[1]) + (0.28 * Distance[Corner[3], Corner[2]]))) → Bottom, b, e, f, g