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diameter (n.)
1.the length of a straight line passing through the center of a circle and connecting two points on the circumference
2.a straight line connecting the center of a circle with two points on its perimeter (or the center of a sphere with two points on its surface)
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Merriam Webster
DiameterDi*am"e*ter (?), n. [F. diamètre, L. diametros, fr. Gr. �; dia` through + � measure. See Meter.]
1. (Geom.) (a) Any right line passing through the center of a figure or body, as a circle, conic section, sphere, cube, etc., and terminated by the opposite boundaries; a straight line which bisects a system of parallel chords drawn in a curve. (b) A diametral plane.
2. The length of a straight line through the center of an object from side to side; width; thickness; as, the diameter of a tree or rock.
☞ In an elongated object the diameter is usually taken at right angles to the longer axis.
3. (Arch.) The distance through the lower part of the shaft of a column, used as a standard measure for all parts of the order. See Module.
Conjugate diameters. See under Conjugate.
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diameter (n.)
⇨ Baudelocque's diameter • Erythrocyte Diameter • Pupil Diameter Unequal • diameter conjugata • semi-diameter
⇨ Aerodynamic diameter • Angular diameter • Angular diameter distance • Beam diameter • Degree diameter problem • Diameter (graph theory) • Diameter (protocol) • Diameter Credit-Control Application • Diameter at breast height • Diameter tape • Equivalent spherical diameter • Gauge (bore diameter) • Graph diameter • Hydraulic diameter • Inside diameter • Major diameter • Minor diameter • Mode field diameter • Penis diameter • Polygon Diameter • Sagittal Abdominal Diameter • Sauter mean diameter • Schwarzchild diameter • Small Diameter Bomb • Subwavelength-diameter optical fiber • Subwavelength-diameter optical fibre • Western Rapid Diameter
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Wikipedia
In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints are on the circle. The diameters are the longest chords of the circle. The word "diameter" derives from Greek διάμετρος (diametros), "diagonal of a circle", from δια- (dia-), "across, through" + μέτρον (metron), "a measure"[1]).
In more modern usage, the length of a diameter is also called the diameter. In this sense one speaks of the diameter rather than a diameter, because all diameters of a circle have the same length, this being twice the radius.
For a convex shape in the plane, the diameter is defined to be the largest distance that can be formed between two opposite parallel lines tangent to its boundary, and the width is defined to be the smallest such distance. For a curve of constant width such as the Reuleaux triangle, the width and diameter are the same because all such pairs of parallel tangent lines have the same distance. See also Tangent lines to circles.
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The four definitions given above are special cases of a more general definition. The diameter of a subset of a metric space is the least upper bound of the distances between pairs of points in the subset. So, if A is the subset, the diameter is
Some authors prefer to treat the empty set () as a special case.[2]
In differential geometry, the diameter is an important global Riemannian invariant. In plane and coordinate geometry, a diameter of a conic section is any chord which passes through the conic's centre; such diameters are not necessarily of uniform length, except in the case of the circle, which has eccentricity e = 0.
In medical parlance the diameter of a lesion is the longest line segment whose endpoints are within the lesion.
The symbol or variable for diameter, ⌀, is similar in size and design to ø, the Latin small letter o with stroke. Unicode provides character number 8960 (hexadecimal 2300) for the symbol, which can be encoded in HTML webpages as ⌀ or ⌀. The character can be obtained in Microsoft Windows by holding the Alt key down while entering 8960 on the numeric keypad. On an Apple Macintosh, the diameter symbol can be entered via the character palette (this is opened by pressing ⌥ Opt⌘ CmdT in most applications), where it can be found in the Technical Symbols category.
The character often will not display correctly, however, since most fonts do not include it. In most situations the letter ø is acceptable, which is unicode 0248 (hexadecimal 00F8). It can be obtained in UNIX-like operating systems using a Compose key by pressing, in sequence, Compose/o and on a Macintosh by pressing ⌥ Opt O (in both cases, that is the letter o, not the number 0).
In LaTeX the symbol is achieved with the command \diameter which is part of the wasysym package.
The diameter symbol ⌀ is distinct from the empty set symbol ∅, from an (italic) uppercase phi Φ, and from the Nordic vowel Ø.[3]
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