Geometry & Topology formula — definition, units and applicable conditions

found 4formulas · currently displayed 4Articles Explanation · Unit · Applicable conditions

Geometry & Topology

Pythagorean Theorem

a^2+b^2=c^2

The sum of the squares of the two right-angled sides of a right triangle is equal to the square of the hypotenuse.

Geometry & Topology

V=\frac43\pi r^3

Converts the radius of a sphere to a three-dimensional volume.

Geometry & Topology

\kappa=\frac{\lvert x'y''-y'x''\rvert}{(x'^2+y'^2)^{3/2}}

quantifies the degree of local curvature of the parameter curve.

Geometry & Topology

V-E+F=2

The number of vertices, edges and faces of a convex polyhedron satisfies a fixed relationship.