Complex Points on a Parabola - iPlanes on a Vertical Line

Complex Points on a Parabola - iPlanes on a Vertical Line
Loading the math board and drawing, please wait…
2016-08-06 04:05
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

  1. Point(f) → C
  2. Polygon(C + (iplaneslicesize * {(1, 1), (-1, 1), (-1, -1), (1, -1)})) → iplaneslice
  3. Textfield(a) → InputBox1
  4. Textfield(b) → InputBox2
  5. Textfield(c) → InputBox3