Chords of A Circle
Further information: Chord propertiesAmong properties of chords of a circle are the following:
- Chords are equidistant from the center only if their lengths are equal.
- A chord's perpendicular bisector passes through the centre.
- 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).
The area that a circular chord "cuts off" is called a circular segment.
Read more about this topic: Chord (geometry)
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“To be a poet is to have a soul so quick to discern, that no shade of quality escapes it, and so quick to feel, that discernment is but a hand playing with finely-ordered variety on the chords of emotion—a soul in which knowledge passes instantaneously into feeling, and feeling flashes back as a new organ of knowledge. One may have that condition by fits only.”
—George Eliot [Mary Ann (or Marian)
“To be a poet is to have a soul so quick to discern, that no shade of quality escapes it, and so quick to feel, that discernment is but a hand playing with finely-ordered variety on the chords of emotion—a soul in which knowledge passes instantaneously into feeling, and feeling flashes back as a new organ of knowledge. One may have that condition by fits only.”
—George Eliot [Mary Ann (or Marian)
“Sense is a line, the mind is a circle. Sense is like a line which is the flux of a point running out from itself, but intellect like a circle that keeps within itself.”
—Ralph J. Cudworth (1617–1688)