![]() ![]() 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) .1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) .When this work has been completed, you may remove this instance of from the code. All the diameters of a circle are chords, but all the chords are not diameters of the circle. Diameter: A chord of the circle that passes through the centre of a circle is known as the diameter of the circle. To discuss this page in more detail, feel free to use the talk page. Chord: The chord is the line segment that joins any two points on a circle. In particular: Once it has been written, this would be on Definition:Chord of Curve If you have access to any of these works, then you are invited to review this list, and make any necessary corrections. A diameter satisfies the definition of a. The diameter is a special kind of chord that passes through the center of a circle. When this has been completed, the citation of that source work (if it is appropriate that it stay on this page) is to be placed above this message, into the usual chronological ordering. It turns out that a diameter of a circle is the longest chord of that circle since it passes through the center. A chord is any line segment whose endpoints lie on a circle. As such, the following source works, along with any process flow, will need to be reviewed. ![]() Line segments represent mappings from the notes of one chord to those of another. The area of a circle is times the radius squared, which is written: A r 2. ![]() A musical chord can be represented as a point in a geometrical space called an orbifold. This page may be the result of a refactoring operation. Musical chords have a non-Euclidean geometry that has been exploited by Western composers in many different styles. Results about chords can be found here.There are other sorts of chords, still to be documented. In the diagram above, the lines $AB$ and $C$ are chords. Example: the line segment connecting two points on a circles circumference is a chord. In the above diagram, $DF$ is a chord of polygon $ABCDEFG$.Ī chord of a parabola is a straight line segment whose endpoints are on the parabola. What is the external case of the intersecting chord theorem For two chords, AB and CD that extend and meet at point P outside of the circle. A line segment connecting two points on a curve. This definition is slightly ambiguous: there is a second arc that connects A and B but goes the other way around the circle. In the diagram above, the line $AB$ is a chord.Ī chord of a polygon $P$ is a straight line connecting two non- adjacent vertices of $P$: In the diagram above, the lines $CD$ and $EF$ are both chords.Ī chord of an ellipse is a straight line segment whose endpoints are on the perimeter of the ellipse. A chord of a circle is a straight line segment whose endpoints are on the circumference of the circle. ![]()
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