MathPlotAI Logo MathPlotAI

Conic Section

Conic Section
Loading the math board and drawing, please wait…
2017-07-18 13:47
VectorCoordinate GeometryGeometric Construction
In collections Conic sections
This example demonstrates the geometric construction of conic sections, which are curves formed by the intersection of a plane and a cone. Conic sections include ellipses, parabolas, and hyperbolas. By adjusting parameters, different types of conic sections can be observed. This example uses vector and coordinate geometry concepts, suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. Vector(B, A) → u
  2. Surface(x(B) + (t * y(u)) + (s * z(u)), y(B) - (t * x(u)), z(B) - (s * x(u)), t, -100, 100, s, -100, 100) → a
  3. Surface((v * cos(u) / 2), (v * sin(u) / 2), v, u, 0, (2 * π), v, -50, 50) → b