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Both definitions are also valid for the diameter of a sphere. In more modern usage, the length d {\displaystyle d} of a diameter is also called the diameter. In this sense one speaks of the diameter rather than a diameter (which refers to the line segment itself), because all diameters of a circle or sphere have the same length, this being ...
Semicircle: one of the two possible arcs determined by the endpoints of a diameter, taking its midpoint as centre. In non-technical common usage it may mean the interior of the two-dimensional region bounded by a diameter and one of its arcs, that is technically called a half-disc. A half-disc is a special case of a segment, namely the largest one.
A diameter is a line segment passing through the center of a circle or sphere with both its endpoints on the circle or sphere. Diameter may also refer to: Diameter (graph theory), the longest distance between 2 points on a graph; Diameter (protocol), a computer protocol; Diameter (group theory), the measure of a finite group's complexity
A famous example is associated with the fictional character, the Grinch, who was said in the story to have been born with a heart that they say was "two sizes too small", such that when he is later redeemed, his heart grows "three sizes that day", leading cardiologist David Kass to humorously suggest that the rapid growth of the Grinch's heart ...
The constant π (pi) has a natural definition in Euclidean geometry as the ratio between the circumference and diameter of a circle. It may be found in many other places in mathematics: for example, the Gaussian integral, the complex roots of unity, and Cauchy distributions in probability. However, its ubiquity is not limited to pure mathematics.
Maximum diameter of Thiomargarita namibiensis, the second largest bacterium ever discovered 10 −3: 1 millimeter ~5 mm Length of an average flea is 1–10 mm (usually <5 mm) [27] 2.54 mm One-tenth inch; distance between pins in DIP (dual-inline-package) electronic components 5.70 mm Diameter of the projectile in 5.56×45mm NATO ammunition 10 −2
For example, in proposition 14 of Book VIII of his Collection, Pappus of Alexandria gives a method for constructing the axes of an ellipse from a given pair of conjugate diameters. Another method is using Rytz's construction , which takes advantage of the Thales' theorem for finding the directions and lengths of the major and minor axes of an ...
an object of diameter 1 AU (149 597 871 km) at a distance of 1 parsec (pc) Thus, the angular diameter of Earth's orbit around the Sun as viewed from a distance of 1 pc is 2″, as 1 AU is the mean radius of Earth's orbit. The angular diameter of the Sun, from a distance of one light-year, is 0.03″, and that of Earth 0.0003″. The angular ...
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