Geometry Definitions > The theorem of Pappus can be either one of two related theorems that can help us derive formulas for the volumes and surface areas of solids or surfaces of revolution. They are named after Pappus of Alexandria,…

## Ellipsoid

Geometry Definitions > An ellipsoid is a three-dimensional shape that has an ellipse or circle for every cross section. A sphere is a special case, but every ellipsoid is symmetric about three mutually perpendicular axes which meet in its center.…

## Golden Spiral

Geometry Definitions > Golden Spiral The golden spiral is a very special geometric shape; a logarithmic spiral with the golden ratio φ for its growth factor. The golden ratio is the number: The golden spiral gets get wider by a…

## Taxicab Geometry: Definition, Distance Formula

Non-Euclidean Geometry > What is Taxicab Geometry? Taxicab geometry is named after the familiar taxicab, navigating the streets of a typical 19th century city. Many cities built their road system around around a grid, where streets run north to south…

## Differential Geometry: A Brief Overview

Geometry Definitions; The vast subject of differential geometry (also called Euclidean differential geometry) is the study of the geometry of curves and surfaces, including manifolds–higher dimensional surfaces. The “classical” version uses differentials (small changes) and infinitesimals; the “modern” approach does…

## Finsler Geometry: Simple Definition

Geometry Definitions> Finsler geometry, named after Paul Finsler’s 1918 doctoral thesis, has become a popular area of research in the last couple of decades. Many Finsler metrics occur naturally in convexity theory and topology; This geometry can also be seen…

## Packing and Covering

Geometry Definitions > Packing and covering deal with arranging geometric objects like circles, squares and triangles within a specified region, like a unit sphere. These optimization problems are used to find minimums and maximums of objects, radii or other features…