Chord (geometry)

From Wikipedia, the free encyclopedia.

A chord of a curve is a geometric line segment whose endpoints both lie on the curve. A secant or a secant line is the line extension of a chord.

Chords of a circle

Chords of a circle have a few known properties. Here's an incomplete list:

  1. Chords are equidistant from the center if and only if their lengths are equal.
  2. A chord's perpendicular bisector passes the center.
  3. Given chord AB, chord CD, and intersection point P of the line extensions (secant lines) of them, the following about lengths is true: AP·PB = CP·PD (Power of a point theorem)
da:korde

ja:弦 (数学) nl:Koorde pl:Cięciwa (matematyka) zh:弦

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