According to the Neoplatonic metaphysician Proclus, an angle must be either a quality, a quantity, or a relationship. Įuclid defines a plane angle as the inclination to each other, in a plane, of two lines that meet each other and do not lie straight with respect to each other. Both are connected with the Proto-Indo-European root *ank-, meaning "to bend" or "bow". Cognate words include the Greek ἀγκύλος ( ankylοs) meaning "crooked, curved" and the English word " ankle". The word angle comes from the Latin word angulus, meaning "corner". 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. In the case of a geometric angle, the arc is centered at the vertex and delimited by the sides. Angle of rotation is a measure conventionally defined as the ratio of a circular arc length to its radius, and may be a negative number. The magnitude of an angle is called an angular measure or simply "angle". Two intersecting curves may also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection. Angles are also formed by the intersection of two planes these are called dihedral angles. Īngles formed by two rays are also known as plane angles as they lie in the plane that contains the rays. In Euclidean 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. JSTOR ( July 2022) ( Learn how and when to remove this template message)Ī green angle formed by two red rays on the Cartesian coordinate system.Unsourced material may be challenged and removed. Please help improve this article by adding citations to reliable sources. This article needs additional citations for verification.
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