Bernoulli's Lemniscate as the Pedal of a Hyperbola
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This example demonstrates the construction of the Lemniscate of Bernoulli as the pedal of a hyperbola. The key mathematical concepts include hyperbola, pedal, locus, and geometric construction. The construction involves GeoGebra commands such as Point, Tangent, OrthogonalLine, Line, Intersect, and Locus, using objects like a, b, c, A, O, d, e, f, B, and loc1. This is suitable for high school students or math enthusiasts learning about geometric constructions and loci.
GeoGebra Commands & Parameters
Point(c) → ATangent(A, c) → d,OrthogonalLine(A, d) → eLine(O, e) → fIntersect(f, d) → BLocus(B, A) → loc1