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Ellipse by Steve Phelps

Ellipse by Steve Phelps
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2016-07-21 23:43
FunctionTrigonometryCoordinate GeometryOptimization
This example demonstrates the geometric properties of an ellipse and its related concepts such as the tangent function, translation, variance, hyperbola, and distributions. It involves core mathematical ideas including the definition of an ellipse. The construction uses GeoGebra commands like Textfield and CurveCartesian, along with objects like xx, yy, InputBoxes, and parameters for interactive exploration. Suitable for high school mathematics students and educators for coordinate geometry learning and discovery.

GeoGebra Commands & Parameters

  1. Textfield(xx) → InputBox1
  2. Textfield(yy) → InputBox2
  3. Textfield(s) → InputBox3
  4. Textfield(e) → InputBox4
  5. CurveCartesian(xx(t), yy(t), t, s, e) → a
  6. CurveCartesian((2 * cos(t)), (4 * sin(t)), t, 0, (2 * π)) → b

AI Drawing Prompt Reference

Draw an ellipse using parameters xx and yy for the lengths of the major and minor axes, respectively. Adjust the shapes by changing parameters s and e through input boxes. Then draw a standard ellipse with the equation (2 * cos(t)) and (4 * sin(t)), where t ranges from 0 to 2π.
The prompt above was compiled from the original drawing commands and is for reference only.