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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. List of musical symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_musical_symbols

    Musical symbols are marks and symbols in musical notation that indicate various aspects of how a piece of music is to be performed. There are symbols to communicate information about many musical elements, including pitch, duration, dynamics, or articulation of musical notes; tempo, metre, form (e.g., whether sections are repeated), and details about specific playing techniques (e.g., which ...

  4. Chord notation - Wikipedia

    en.wikipedia.org/wiki/Chord_notation

    In this case, the chord is viewed as a C major seventh chord (CM 7) in which the third note is an augmented fifth from root (G ♯), rather than a perfect fifth from root (G). All chord names and symbols including altered fifths, i.e., augmented (♯ 5, +5, aug5) or diminished (♭ 5, o 5, dim5) fifths can be interpreted in a similar way.

  5. History of trigonometry - Wikipedia

    en.wikipedia.org/wiki/History_of_trigonometry

    The chord of an angle subtends the arc of the angle. 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.

  6. Circle of stars - Wikipedia

    en.wikipedia.org/wiki/Circle_of_stars

    The Zodiac is an ancient circle of stars [11] where some stars are symbolically combined into 12 star signs also known as constellations. The etymology of the term Zodiac comes from the Latin zōdiacus, from the Greek ζῳδιακός [κύκλος], meaning "[circle] of animals", derived from ζῴδιον, the diminutive of ζῷον "animal".

  7. Ptolemy's table of chords - Wikipedia

    en.wikipedia.org/wiki/Ptolemy's_table_of_chords

    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 ⁠ .

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  9. Jyā, koti-jyā and utkrama-jyā - Wikipedia

    en.wikipedia.org/wiki/Jyā,_koti-jyā_and_utkrama...

    Literal meaning of jyā Technical meaning of jyā and kojyā. An arc of a circle is like a bow and so is called a dhanu or chāpa which in Sanskrit means "a bow". 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.