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A diameter of an ellipse is any chord passing through the centre of the ellipse. [1] For example, conjugate diameters have the property that a tangent line to the ellipse at the endpoint of one diameter is parallel to the conjugate diameter. The longest diameter is called the major axis.
The diameter symbol (Unicode character U+2300) is similar to the lowercase letter ø, and in some typefaces it even uses the same glyph, although in many others the glyphs are subtly distinguishable (normally, the diameter symbol uses an exact circle and the letter o is somewhat stylized).
A diameter is a line segment passing through the center of a circle or sphere with both its endpoints on the circle or sphere. It is the longest distance between two points of the circle or sphere; more generally the diameter of a set is the longest distance between two of its points.
The gauge (in American English or more commonly referred to as bore in British English) of a firearm is a unit of measurement used to express the inner diameter (bore diameter) and other necessary parameter to define in general a smoothbore barrel (in difference of caliber what define a barrel with rifling and there cartridge).
Equivalently, denoting diameter by d, =, that is, approximately 79% of the circumscribing square (whose side is of length d). The circle is the plane curve enclosing the maximum area for a given arc length.
Just as the diameter of a two-dimensional convex set is the largest distance between two parallel lines tangent to and enclosing the set, the width is often defined to be the smallest such distance. Like the diameter, the width can be computed using the method of rotating calipers. [4] The diameter and width are equal only for a body of ...
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The diameter is always attained by two points of the convex hull of the input. A trivial brute-force search can be used to find the diameter of points in time () (assuming constant-time distance evaluations) but faster algorithms are possible for points in low dimensions.