Inclination of Tangent
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Properties of the Parabola
This applet illustrates the reflection property of the parabola: the tangent at any point on a parabola is equally inclined to the axis and the focal line. Key mathematical concepts include parabola, tangent, axis of symmetry, and focus. Construction involves GeoGebra commands such as Point, Tangent, Line, Intersect, and Angle to create the parabola, tangent line, intersection point, and angle. Suitable for high school mathematics or geometric construction practice.
GeoGebra Commands & Parameters
Point(c) → PTangent(P, c) → b,Line(P, F) → dSegment(P, F) → eIntersect(b, yAxis) → BAngle(F, P, B) → αAngle(F, B, P) → β