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Reflection off Round Surface - Example 2

Reflection off Round Surface - Example 2
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2019-01-25 15:19
CircleVectorCoordinate GeometryGeometric Construction
This example demonstrates the reflection of light off a round surface, illustrating key mathematical concepts such as the law of reflection, tangents, normals, vectors, and angle calculations. It is constructed using GeoGebra commands like Circle, Tangent, OrthogonalLine, Vector, Mirror, Segment, Intersect, and Angle, making it suitable for high school students studying analytical geometry and geometric optics.

GeoGebra Commands & Parameters

  1. Circle(B, C) → c
  2. Tangent(C, c) → a,
  3. OrthogonalLine(C, a) → b
  4. Vector(A, C) → u
  5. Mirror(A, b) → A'
  6. Vector(C, A') → v
  7. Segment(A, A') → d
  8. Intersect(b, d) → D
  9. Angle(A, C, D) → α
  10. Angle(D, C, A') → β