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Cubic Bezier Curve via Vectors

Cubic Bezier Curve via Vectors
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2017-11-30 03:31
VectorParametric EquationGeometric ConstructionGraphing
In collections Mathematics of Computer Graphics
This example demonstrates how to construct a cubic Bezier curve using vector operations. It involves core mathematical concepts like vector math, parametric equations, and geometric construction. Key GeoGebra commands used include Vector, Locus, Textfield, and Segment. Suitable for high school students and above to learn about parametric curve drawing.

GeoGebra Commands & Parameters

  1. Vector(P_1, A) → v_1
  2. Vector(P_2, B) → v_2
  3. Locus(P, t) → loc1
  4. Textfield(A) → InputBox1
  5. Textfield(B) → InputBox2
  6. Textfield(P_1) → InputBox3
  7. Textfield(P_2) → InputBox4
  8. Segment(P_1, C_2) → f
  9. Segment(C_2, C_3) → g
  10. Segment(C_3, P_2) → h