Space Pedal Surface of a Sphere
Loading the math board and drawing, please wait…
In collections
surface 3D /3D-Oberflächen 1
This example demonstrates the pedal surface of a sphere in 3D space. Key math concepts include solid geometry, geometric transformations, parametric equations, and integral calculus. The construction uses GeoGebra's Surface command with parameters a and b. Suitable for high school students and math enthusiasts exploring spatial geometry and calculus applications.
GeoGebra Commands & Parameters
Surface((((1 - (((cos(β) * cos(α)) * x(Pedal)) + ((cos(β) * sin(α)) * y(Pedal)) + (sin(β) * z(Pedal))) / (((cos(β) * cos(α)))^(2) + ((cos(β) * sin(α)))^(2) + sin(β)^(2))) * cos(β)) * cos(α)) + x(Pedal), (((1 - (((cos(β) * cos(α)) * x(Pedal)) + ((cos(β) * sin(α)) * y(Pedal)) + (sin(β) * z(Pedal))) / (((cos(β) * cos(α)))^(2) + ((cos(β) * sin(α)))^(2) + sin(β)^(2))) * cos(β)) * sin(α)) + y(Pedal), ((1 - (((cos(β) * cos(α)) * x(Pedal)) + ((cos(β) * sin(α)) * y(Pedal)) + (sin(β) * z(Pedal))) / (((cos(β) * cos(α)))^(2) + ((cos(β) * sin(α)))^(2) + sin(β)^(2))) * sin(β)) + z(Pedal), α, 0, (2 * π), β, 0, (2 * π)) → b