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Level Curves on a Surface

Level Curves on a Surface
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2016-09-23 21:49
CircleCoordinate Geometry
This example demonstrates level curves on a surface. Key mathematical concepts include level curves, surfaces, and circles. Using GeoGebra commands such as Invert, CurveCartesian, and Sequence, level curves on a surface can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Invert(g) → g_{inv}
  2. Invert(h) → h_{inv}
  3. CurveCartesian(t, h_{inv}(z_0 / g(t)), z_0, t, -20, 10) → curve_1
  4. CurveCartesian(g_{inv}(z_0 / h(t)), t, z_0, t, -5, 5) → curve_2
  5. Textfield(g) → InputBox1
  6. Textfield(h) → InputBox2
  7. Textfield(a) → InputBox3
  8. Textfield(b) → InputBox4
  9. Sequence(f(x, y) = c, c, a, b, Δ) → list1