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Feuerbach Hyperbola

Feuerbach Hyperbola
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2018-09-24 03:39
FunctionCoordinate GeometryLimitGeometric Construction
This example demonstrates the construction of the Feuerbach Hyperbola and its relationship with circles and quadrilaterals. Key mathematical concepts include limits, quadrilaterals, piecewise functions, rectangles, and expected value. Construction highlights involve using GeoGebra commands such as Polygon, Midpoint, Circle, Incircle, Intersect, Center, OrthogonalLine, Conic, and Asymptote. Suitable for high school and above mathematics learners to understand the connection between conic sections and geometric figures, as well as dynamic changes.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Midpoint(c) → D
  3. Midpoint(b) → E
  4. Midpoint(a) → G
  5. Circle(D, E, G) → d
  6. Incircle(A, B, C) → e
  7. Intersect(d, e) → F, , ,
  8. Center(e) → I
  9. OrthogonalLine(B, b) → f
  10. OrthogonalLine(C, c) → g
  11. Intersect(f, g) → H
  12. Conic(H, B, I, A, C) → h
  13. Asymptote(h) → i, j