Search results
Results From The WOW.Com Content Network
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").
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.
The fractional parts of chord lengths required great accuracy, and were given in sexagesimal notation in two columns in the table: The first column gives an integer multiple of 1 / 60 , in the range 0–59, the second an integer multiple of 1 / 60 2 = 1 / 3600 , also in the range 0–59.
Fig. 1 – A triangle. The angles α (or A), β (or B), and γ (or C) are respectively opposite the sides a, b, and c.. In trigonometry, the law of cosines (also known as the cosine formula or cosine rule) relates the lengths of the sides of a triangle to the cosine of one of its angles.
In this right triangle: sin A = a/h; cos A = b/h; tan A = a/b. Trigonometric ratios are the ratios between edges of a right triangle. These ratios depend only on one acute angle of the right triangle, since any two right triangles with the same acute angle are similar. [31]
Because C bisects the arc from A to B, C′C perpendicularly bisects the chord from A to B, say at P. Triangle C′AP is thus a right triangle, and is similar to C′CA since they share the angle at C′. Thus all three corresponding sides are in the same proportion; in particular, we have C′A : C′C = C′P : C′A and AP : C′A = CA : C′C.
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.
So in the key of C, the Nashville Number System notation: 1 4 1 5 represents a four-bar phrase in which the band would play a C major chord (one bar), an F major chord (one bar), a C major chord (one bar), and a G major chord (one bar). Here is an example of how two four-bar phrases can be formed to create a section of a song.