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The straight line joining the two extremities of an arc of a circle is like the string of a bow and this line is a chord of the circle. This chord is called a jyā which in Sanskrit means "a bow-string", presumably translating Hipparchus 's χορδή with the same meaning [ citation needed ] .
Ancient Greek and Hellenistic mathematicians made use of the chord. Given a circle and an arc on the circle, the chord is the line that subtends the arc. A chord's perpendicular bisector passes through the center of the circle and bisects the angle. One half of the bisected chord is the sine of one half the bisected angle, that is, [13]
A chord of a circle is a line segment whose endpoints are on the circle. Ptolemy used a circle whose diameter is 120 parts. Ptolemy used a circle whose diameter is 120 parts. He tabulated the length of a chord whose endpoints are separated by an arc of n degrees, for n ranging from 1 / 2 to 180 by increments of 1 / 2 .
In his first suspended animation stages, his body was stored at Edward Hope's Cryo-Care facility in Phoenix, Arizona, for two years, then in 1969 moved to the Galiso facility in California. Bedford's body was moved from Galiso in 1973 to Trans Time near Berkeley, California , until 1977, before being stored by his son for many years.
Equal chords are subtended by equal angles from the center of the circle. A chord that passes through the center of a circle is called a diameter and is the longest chord of that specific circle. If the line extensions (secant lines) of chords AB and CD intersect at a point P, then their lengths satisfy AP·PB = CP·PD (power of a point theorem).
If two angles are inscribed on the same chord and on opposite sides of the chord, then they are supplementary. For a cyclic quadrilateral, the exterior angle is equal to the interior opposite angle. An inscribed angle subtended by a diameter is a right angle (see Thales' theorem). The diameter is the longest chord of the circle. Among all the ...
[citation needed] While Ettinger was the first, most articulate, and most scientifically credible person to argue the idea of cryonics, [citation needed] he was not the only one. In 1962, Evan Cooper had authored a manuscript entitled "Immortality: Physically, Scientifically, Now" [ 13 ] under the pseudonym Nathan Duhring. [ 14 ]
The lune of Hippocrates is the upper left shaded area. It has the same area as the lower right shaded triangle. In geometry, the lune of Hippocrates, named after Hippocrates of Chios, is a lune bounded by arcs of two circles, the smaller of which has as its diameter a chord spanning a right angle on the larger circle.