Cylindrical and Spherical Coordinates
Loading the math board and drawing, please wait…
This example demonstrates the geometric representation and transformation between cylindrical and spherical coordinate systems. It involves core mathematical concepts such as spatial coordinate transformations, polar and spherical coordinate systems, and 3D graphing. The construction uses GeoGebra's Surface command to plot surfaces, with parameters φ, ρ, θ, r, a, b, c defining the coordinates and range, and text1, text2 for annotations. Suitable for university students in mathematics or physics, and learners needing to understand 3D coordinate systems.
GeoGebra Commands & Parameters
Surface((r(u, v) * cos(u)), (r(u, v) * sin(u)), v, u, 0, a, v, 0, b) → cSurface(((ρ(u, v) * sin(v)) * cos(u)), ((ρ(u, v) * sin(v)) * sin(u)), (ρ(u, v) * cos(v)), u, 0, θ, v, 0, φ) → d