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  2. Chord (geometry) - Wikipedia

    en.wikipedia.org/wiki/Chord_(geometry)

    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).

  3. File:Circle-trig6.svg - Wikipedia

    en.wikipedia.org/wiki/File:Circle-trig6.svg

    English: This is a graphical construction of the various trigonometric functions from a chord AD (angle θ) of the unit circle centered at O. In addition to the modern trigonometric functions sin (sine), cos (cosine), tan (tangent), cot (cotangent), sec (secant), and csc (cosecant), the diagram also includes a few trigonometric functions that have fallen into disuse: chord, versin (versine or ...

  4. File:Chords (circle).svg - Wikipedia

    en.wikipedia.org/wiki/File:Chords_(circle).svg

    It illustrates the dependence of the length of a chord of a circle upon the angle that it subtends. As in [[Ptolemy]]'s [[Almagest]], the diameter of the circle is 120. 2011-03-11 17:28: 603×585× (3961 bytes) Michael Hardy: I drew this using xfig. It illustrates the dependence of the length of a chord of a circle upon the angle that it subtends.

  5. Chord diagram (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Chord_diagram_(mathematics)

    The number of different chord diagrams that may be given for a set of cyclically ordered objects is the double factorial ()!!. [1] There is a Catalan number of chord diagrams on a given ordered set in which no two chords cross each other. [2] The crossing pattern of chords in a chord diagram may be described by a circle graph, the intersection ...

  6. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    The diameter is the longest chord of the circle. Among all the circles with a chord AB in common, the circle with minimal radius is the one with diameter AB. If the intersection of any two chords divides one chord into lengths a and b and divides the other chord into lengths c and d, then ab = cd.

  7. Chord diagram - Wikipedia

    en.wikipedia.org/wiki/Chord_diagram

    Chord diagram (music), a diagram showing the fingering of a chord on a guitar or other fretted musical instrument; Chord diagram (information visualization), a diagram showing a many-to-many relationship between objects as curved arcs within a circle; Chord diagram (mathematics), a circularly ordered set with a one-to-one pairing, often drawn ...

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  9. List of chord progressions - Wikipedia

    en.wikipedia.org/wiki/List_of_chord_progressions

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