Eccentricity and the Hyperbola
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This example demonstrates the relationship between the eccentricity and geometric properties of a hyperbola. Key math concepts include eccentricity, foci, directrices, and coordinate geometry. It uses GeoGebra commands/objects like e (eccentricity), a (semi-major axis), and c (distance from center to focus). Suitable for high school coordinate geometry teaching or exploration by math enthusiasts.
GeoGebra Commands & Parameters
Numeric e(1.1)Numeric a(3.15)x^(2) / a^(2) - y^(2) / ((a^(2) * (e^(2) - 1))) = 1