Complex Points on a Parabola - iPlanes on a Vertical Line
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This example demonstrates the properties of complex points on a parabola, involving core concepts of complex numbers and coordinate geometry. Using GeoGebra commands such as Point, Polygon, and Textfield, dynamic exploration of iplane slices on a vertical line is possible. Suitable for high school mathematics education, particularly in coordinate geometry and complex numbers.
GeoGebra Commands & Parameters
Point(f) → CPolygon(C + (iplaneslicesize * {(1, 1), (-1, 1), (-1, -1), (1, -1)})) → iplanesliceTextfield(a) → InputBox1Textfield(b) → InputBox2Textfield(c) → InputBox3