Search results
Results From The WOW.Com Content Network
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).
The song was stored in music box format in a permanent outdoor display in Cathedral Park under the St. John's Bridge in Portland, Oregon. Permanent outdoor exhibit of a metal river at Cathedral Park, under the St. John's Bridge in Portland Oregon, installed with music box tune of Hoagy Carmichael's "Up A Lazy River", the year the bridge was dedicated.
More generally, an angle subtended by an arc of a curve is the angle subtended by the corresponding chord of the arc. For example, a circular arc subtends the central angle formed by the two radii through the arc endpoints. If an angle is subtended by a straight or curved segment, the segment is said to subtend the angle.
Case: One chord is a diameter. Let O be the center of a circle, as in the diagram at right. Choose two points on the circle, and call them V and A. Draw line OV and extended past O so that it intersects the circle at point B which is diametrically opposite the point V. Draw an angle whose vertex is point V and whose sides pass through points A ...
"Roll On, Columbia, Roll On" was part of the Columbia River Ballads, a set of twenty-six songs written by Guthrie as part of a commission by the Bonneville Power Administration (BPA), the federal agency created to sell and distribute power from the river's federal hydroelectric facilities (primarily Bonneville Dam and Grand Coulee Dam).
The popularity of the song is lampooned in a 1940s film short. [4] In the film, The King's Men (who also performed on Fibber McGee and Molly) play young men living in a boarding house who are endlessly singing the song while getting dressed, eating dinner, playing cards, etc., until an exasperated fellow boarder (William Irving) finally has them removed to an insane asylum.
The terms quartal and quintal imply a contrast, either compositional or perceptual, with traditional harmonic constructions based on thirds: listeners familiar with music of the common practice period are guided by tonalities constructed with familiar elements: the chords that make up major and minor scales, all in turn built from major and minor thirds.
The value of the two products in the chord theorem depends only on the distance of the intersection point S from the circle's center and is called the absolute value of the power of S; more precisely, it can be stated that: | | | | = | | | | = where r is the radius of the circle, and d is the distance between the center of the circle and the ...