Analytic geometry
Surfaces
Spheres, ellipsoids, cylinders, paraboloids and planes in space.
Analytic geometry
Sphere equation value
F = (x−x₀)²+(y−y₀)²+(z−z₀)²→Analytic geometrySphere radius from point and center
R = √((x−x₀)²+(y−y₀)²+(z−z₀)²)→Analytic geometryEllipsoid equation value
F = x²/a²+y²/b²+z²/c²→Analytic geometryCylinder equation value
F = (x−x₀)²+(y−y₀)²→Analytic geometryElliptic paraboloid z
z = x²/a²+y²/b²→Analytic geometryCone equation value
F = x²/a²+y²/b²−z²/c²→Analytic geometrySphere from center and point
(x−x₀)²+(y−y₀)²+(z−z₀)²=R²→Analytic geometrySphere from center and radius
(x−x₀)²+(y−y₀)²+(z−z₀)²=R²→Analytic geometryCheck a point on a sphere
|OP|² ? R²→Analytic geometryDistance to center
d = |OP|→