Angle

In planar geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. Angles are also formed by the intersection of two planes in Euclidean and other spaces. These are called dihedral angles. Angles formed by the intersection of two curves in a plane are defined as the angle determined by the tangent rays at the point of intersection. Similar statements hold in space, for example, the spherical angle formed by two great circles on a sphere is the dihedral angle between the planes determined by the great circles.

Angle is also used to designate the measure of an angle or of a rotation. This measure is the ratio of the length of a circular arc to its radius. In the case of a geometric angle, the arc is centered at the vertex and delimited by the sides. In the case of a rotation, the arc is centered at the center of the rotation and delimited by any other point and its image by the rotation.

Angles

The Angles (Latin: Anglii) were one of the main Germanic peoples who settled in Britain in the post-Roman period. They founded several of the kingdoms of Anglo-Saxon England, and their name is the root of the name England. The name comes from the district of Angeln, an area located on the Baltic shore of what is now Schleswig-Holstein, the most northern state of Germany.

Name

The name of the Angles was first recorded in Latinised form, as Anglii, in the Germania of Tacitus. It is thought to derive from the name of the area they originally inhabited: Angeln in modern German, Angel in Danish. This name has been hypothesised to originate from the Germanic root for "narrow" (compare German and Dutch eng = "narrow"), meaning "the Narrow [Water]", i.e. the Schlei estuary; the root would be angh, "tight". Another theory is that the name meant "hook", as in angling for fish; Julius Pokorny, a major Indo-European linguist, derives it from *ang-, "bend" (see ankle).

Gregory the Great in an epistle simplified the Latinised name Anglii to Angli, the latter form developing into the preferred form of the word. The country remained Anglia in Latin. Alfred the Great's translation of Orosius' history of the world uses Angelcynn (-kin) to describe England and the English people; Bede used Angelfolc (-folk); there are also such forms as Engel, Englan (the people), Englaland, and Englisc, all showing i-mutation.

Angles (Dan Le Sac vs Scroobius Pip album)

Angles is the debut album by dan le sac vs Scroobius Pip, released on 12 May 2008. It entered and peaked at #31 on the UK album chart. Most of the album was recorded in a friend of Scroobius Pip's shed in Essex and in dan le sac's back bedroom.

Track listing

All lyrics written by Scroobius Pip, all music composed by dan le sac, except where noted.

Also released was an iTunes Bonus Video Version with a shortened version of "Waiting for the Beat to Kick In...", and the track "Reading My Dreams" was used as a separate track.

When the album was released in the USA by Strange Famous Records, it had a different tracklisting.

Production notes

Angles (The Strokes album)

Angles is the fourth studio album by American indie rock band The Strokes, released on March 18, 2011. It was their first album since First Impressions of Earth (2006), their longest gap to date between studio albums.

Recording

After touring in support of First Impressions of Earth, The Strokes went on an extended hiatus in 2007 and then regrouped two years later to begin writing new material for a fourth album. The album took more than two years to materialize, with the band recording live demos of 18 songs before heading into Avatar Studios in New York with producer Joe Chiccarelli, but without Casablancas. Not long after recording began, however, the band became frustrated with both Chiccarelli's reserved production style and Casablancas' absence. Only one song from these recording sessions, "Life Is Simple in the Moonlight", remained in its original form on the album's track listing. The rest of the songs were either scrapped or reworked by the band with engineer Gus Oberg at guitarist Albert Hammond, Jr.'s home studio in Port Jervis, Upstate New York.