en.unionpedia.org

Semidiameter, the Glossary

In geometry, the semidiameter or semi-diameter of a set of points may be one half of its diameter; or, sometimes, one half of its extent along a particular direction.^[1]

21 relations: Axial symmetry, Boundary (topology), Centre (geometry), Circle, Diameter, Ellipse, Ellipsoid, Flattening, Geometry, Implicit function, Interval (mathematics), Line segment, Point (geometry), Radius, Semi-major and semi-minor axes, Semiperimeter, Set (mathematics), Sphere, Superellipse, Superellipsoid, Superquadrics.
Geometric measurement

Axial symmetry

Axial symmetry is symmetry around an axis; an object is axially symmetric if its appearance is unchanged if rotated around an axis.

See Semidiameter and Axial symmetry

Boundary (topology)

In topology and mathematics in general, the boundary of a subset of a topological space is the set of points in the closure of not belonging to the interior of.

See Semidiameter and Boundary (topology)

Centre (geometry)

In geometry, a centre (British English) or center (American English) of an object is a point in some sense in the middle of the object.

See Semidiameter and Centre (geometry)

Circle

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

See Semidiameter and Circle

Diameter

In geometry, a diameter of a circle is any straight line segment that passes through the centre of the circle and whose endpoints lie on the circle.

See Semidiameter and Diameter

Ellipse

In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

See Semidiameter and Ellipse

Ellipsoid

An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation.

See Semidiameter and Ellipsoid

Flattening

Flattening is a measure of the compression of a circle or sphere along a diameter to form an ellipse or an ellipsoid of revolution (spheroid) respectively.

See Semidiameter and Flattening

Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

See Semidiameter and Geometry

Implicit function

In mathematics, an implicit equation is a relation of the form R(x_1, \dots, x_n).

See Semidiameter and Implicit function

Interval (mathematics)

In mathematics, a (real) interval is the set of all real numbers lying between two fixed endpoints with no "gaps".

See Semidiameter and Interval (mathematics)

Line segment

In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

See Semidiameter and Line segment

Point (geometry)

In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical spaces.

See Semidiameter and Point (geometry)

Radius

In classical geometry, a radius (radii or radiuses) of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

See Semidiameter and Radius

Semi-major and semi-minor axes

In geometry, the major axis of an ellipse is its longest diameter: a line segment that runs through the center and both foci, with ends at the two most widely separated points of the perimeter.

See Semidiameter and Semi-major and semi-minor axes

Semiperimeter

In geometry, the semiperimeter of a polygon is half its perimeter.

See Semidiameter and Semiperimeter

In mathematics, a set is a collection of different things; these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

See Semidiameter and Set (mathematics)

Sphere

A sphere (from Greek) is a geometrical object that is a three-dimensional analogue to a two-dimensional circle.

See Semidiameter and Sphere

Superellipse

A superellipse, also known as a Lamé curve after Gabriel Lamé, is a closed curve resembling the ellipse, retaining the geometric features of semi-major axis and semi-minor axis, and symmetry about them, but defined by an equation that allows for various shapes between a rectangle and an ellipse.

See Semidiameter and Superellipse

Superellipsoid

In mathematics, a superellipsoid (or super-ellipsoid) is a solid whose horizontal sections are superellipses (Lamé curves) with the same squareness parameter \epsilon_2, and whose vertical sections through the center are superellipses with the squareness parameter \epsilon_1.

See Semidiameter and Superellipsoid

Superquadrics

In mathematics, the superquadrics or super-quadrics (also superquadratics) are a family of geometric shapes defined by formulas that resemble those of ellipsoids and other quadrics, except that the squaring operations are replaced by arbitrary powers.

See Semidiameter and Superquadrics

References

[1] https://en.wikipedia.org/wiki/Semidiameter

Also known as Semi-diameter.