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In geometry, a vertex (Latin: corner; plural vertices) is a corner of

an angle: the point where two rays begin or meet, where two line segments join or meet, where two lines cross (intersect), or any appropriate combination of rays, segments and lines that result in two straight "sides" meeting at one place. In Euclidean geometry, an endpoint is not a vertex unless it is the endpoint of two or more segments or rays (or segments and rays) and is thus very different than a graph theory vertex.

a polygon: any point on the polygon where two sides (line segments) meet or connect.

a polyhedron: any point where three or more edges meet or connect to each other. The edges are the connections (line segments as shared sides) of two or more faces (polygons).

For curves a vertex is a point on the curve is a point with a local minimum or maximum of curvature.

In graph theory, a graph describes a set of connections between objects. Each object is called a node or vertex. The connections themselves are called edges or arcs. An object that has only one connection (often geometrically depicted as an endpoint) is still a vertex.

Vertex is also a business process outsourcing division of United Utilities plc. Visit the Vertex page here: Vertex - Business Process Outsourcing.

In optics, a vertex (or surface vertex) is the point where the surface of an optical element crosses the optical axis. It is one of the cardinal points of an optical system.

In nuclear and particle physics, a vertex is the interaction point, where some subnuclear process occurs, changing the number and/or momenta of interacting particles or nuclei.

In anatomy, the vertex is the highest point of the skull in the anatomical position (i.e. standing upright). It lies between the parietal bones in the median sagittal plane.

In astrology, the vertex is a point in space seen near the Eastern horizon (and the Ascendant) in the two-dimensional horoscope. In astrological theory, planet(s) close to it are supposed to lend their personality to the event(s) that the chart captures.

Vertex is also an album by Buck 65.

VerTex is a song in In The Groove (game).

Vertex Software develops web-based customer management solutions.

Vertex Pharmaceuticals is a biotech company, with 2005 revenues of $161 million, that is developing small molecule therapeutics for the treatment of HCV infection, inflammation, autoimmune diseases, cancer, pain, cystic fibrosis and other diseases, both independently and in collaboration with other pharmaceutical and biotechnology companies.

Vertex Society A society for people scoring above an IQ of 160 sd16 on professional, standardized intelligence tests only. This translates to a rarity of 1/11000 of the general population or roughly only 590 000 people of the current 6.5 billion.

Vertex Systems Oy is a CAD software company.