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Orthoptic curve of a closed Fermat curve

Orthoptic curve of a closed Fermat curve
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2019-09-24 16:14
Coordinate GeometryParametric EquationGeometric Construction
This example demonstrates the orthoptic curve of a closed Fermat curve. The orthoptic curve is the locus of points where tangents intersect at right angles. Key math concepts include parametric curves, coordinate geometry, and geometric constructions. The construction uses GeoGebra commands with objects a and b to define the curve parameters. Suitable for high school students and those interested in parametric curves.

GeoGebra Commands & Parameters

  1. x^(4) + y^(4) = 1
  2. (x + y)^(4 / 3) + (y - x)^(4 / 3) = (x^(2) + y^(2))^(4 / 3)