In the geometry of plane curves, a vertex is a point of where the first derivative of curvature is zero. This is typically a local maximum or minimum of...

Look up vertex in Wiktionary, the free dictionary. Vertex, vertices or vertexes may refer to: Vertex (geometry), a point where two or more curves, lines...

In geometry, a vertex (pl.: vertices or vertexes) is a point where two or more curves, lines, or edges meet or intersect. As a consequence of this definition...

mathematics, an orientation of a curve is the choice of one of the two possible directions for travelling on the curve. For example, for Cartesian coordinates...

The four-vertex theorem of geometry states that the curvature along a simple, closed, smooth plane curve has at least four local extrema (specifically...

terminated both ways by the curve. For any case, p {\displaystyle p} is the radius of the osculating circle at the vertex. For a parabola, the semi-latus...

curves and bumps, or change other attributes. Vertex shaders are the most established and common kind of 3D shader and are run once for each vertex given...

is a comment An OBJ file may contain vertex data, free-form curve/surface attributes, elements, free-form curve/surface body statements, connectivity...

trajectory. Here, the vertex of the hyperboloid serves as the identity on each trajectory curve. Topologically, a complex elliptic curve is a torus, while...

for the curve may be derived as follows. Let c be the lowest point on the chain, called the vertex of the catenary. The slope ⁠dy/dx⁠ of the curve is zero...

topology, the Jordan curve theorem, formulated by Camille Jordan in 1887, asserts that every Jordan curve (a plane simple closed curve) divides the plane...

formulations of the vertex algebra axioms include Borcherds's later work on singular commutative rings, algebras over certain operads on curves introduced by...

nine inflection points of an elliptic curve Ogee, an architectural form with an inflection point Vertex (curve), a local minimum or maximum of curvature...

of infinite curvature. For a curve of constant width, each vertex of locally minimum curvature is paired with a vertex of locally maximum curvature,...

published in 1673, that the curve is a cycloid. On a cycloid whose axis is erected on the perpendicular and whose vertex is located at the bottom, the...

Koch curve, Koch star, or Koch island) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve, which...

Singular point of a curve Singular point of an algebraic variety Smooth point Special point Stable point Torsion point Vertex (curve) Weierstrass point...

"Continuous Shading of Curved Surfaces." IEEE Transactions on Computers, C-20(6) : 623--629 (June 1971). Andrew Glassner, I.6 Building vertex normals from a unstructured...

layers. normal vectors These define an approximated curved surface at the location of the vertex, used for lighting calculations (such as Phong shading)...

defines its vertex (V). Its axis of symmetry (dash-dot cyan) passes through V and is perpendicular to the tangent. E is either point on the curve with a tangent...

rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays are also known as plane angles as...

eminences. In the vertex presentation, the occiput typically is anterior and thus in an optimal position to negotiate the pelvic curve by extending the...

approaches the vertex. At most points, the tangent touches the curve without crossing it (though it may, when continued, cross the curve at other places...

normal curve Rose curve Bicuspid curve Cassini oval Cassinoide Cubic curve Elliptic curve Watt's curve Butterfly curve Elkies trinomial curves Hyperelliptic...

This is the sharpest possible angle at any vertex of any curve of constant width. Additionally, among the curves of constant width, the Reuleaux triangle...

curve of a given curve results from the orthogonal projection of a fixed point on the tangent lines of this curve. More precisely, for a plane curve C...

of a curve when its two rays pass through the endpoints of that arc, line segment or curve section. Conversely, the arc, line segment or curve section...

approximates the curvature of a curve at a specific point. It is tangent to the curve at that point and has the same curvature as the curve at that point. The osculating...

is a curve specified by a sequence of points ( A 1 , A 2 , … , A n ) {\displaystyle (A_{1},A_{2},\dots ,A_{n})} called its vertices. The curve itself...

the curve. If the derivative of curvature κ'(t) is zero, then the osculating circle will have 3rd-order contact and the curve is said to have a vertex. The...