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Circular segment. A circular segment (in green) is enclosed between a secant/chord (the dashed line) and the arc whose endpoints equal the chord's (the arc shown above the green area). In geometry, a circular segment or disk segment (symbol: ⌓) is a region of a disk [ 1] which is "cut off" from the rest of the disk by a straight line.
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In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. It is Proposition 35 of Book 3 of Euclid 's Elements.
The Andalusian cadence (diatonic phrygian tetrachord) is a term adopted from flamenco music for a chord progression comprising four chords descending stepwise – a iv–III–II–I progression with respect to the Phrygian mode or i–VII–VI–V progression with respect to the Aeolian mode (minor). [ 1 ] It is otherwise known as the minor ...
A chord (from the Latin chorda, meaning "bowstring") of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord were to be extended infinitely on both directions into a line, the object is a secant line. The perpendicular line passing through the chord's midpoint is called sagitta (Latin for "arrow").
IV M7 –V 7 –iii 7 –vi chord progression in C. Play ⓘ One potential way to resolve the chord progression using the tonic chord: ii–V 7 –I. Play ⓘ. The Royal Road progression (王道進行, ōdō shinkō), also known as the IV M7 –V 7 –iii 7 –vi progression or koakuma chord progression (小悪魔コード進行, koakuma kōdo shinkō), [1] is a common chord progression within ...
Viète. de Moivre. Euler. Fourier. v. t. e. In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.
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