Home > Science and Technology > Mathematics > Mathematics

Topic:angle

angle. (Image by Gustavb, GFDL)

Visit our new topic page about angle

angle

The Columbia Encyclopedia, Sixth Edition | Date: 2008

angle in mathematics, figure formed by the intersection of two straight lines; the lines are called the sides of the angle and their point of intersection the vertex of the angle. Angles are commonly measured in degrees (°) or in radians. If one side and the vertex of an angle are fixed and the other side is rotated about the vertex, it sweeps out a complete circle of 360° or 2π radians with each complete rotation. Half a rotation from 0° or 0 radians results in a straight angle, equal to 180° or π radians; the sides of a straight angle form a straight line. A quarter rotation (half of a straight angle) results in a right angle, equal to 90° or π/2 radians; the sides of a right angle are perpendicular to one another. An angle less than a right angle is acute, and an angle greater than a right angle is obtuse. Two angles that add up to a right angle are complementary. Two angles that add up to a straight angle are supplementary. One of the geometric problems of antiquity is the trisection of an angle. Angles can also be formed by higher-dimensional figures, as by a line and a plane, or by two intersecting planes.

Author not available, ANGLE., The Columbia Encyclopedia, Sixth Edition 2008

Related newspaper, magazine, and journal articles from HighBeam Research

	Right Angle Media opens 110th fully operational air-conditioned bus shelter to service Dubai Al Bawaba; 6/10/2008; 622 words ; Right Angle Media opens 110th fully operational air-conditioned bus shelter to service Dubai Commuters throughout Dubai can now enjoy air-conditioned bus shelters Right Angle Media, the revolutionary out-of-home media provider and the company behind one of the largest public-private utility Read more
	Largest RTA private partner, Right Angle Media, says Abu Dhabi Conference players to put capital city on the worldwide map Al Bawaba; 11/18/2007; 486 words ; Right Angle Media, the company behind one of the largest public- private utility initiatives ever embarked on by the RTA the Air- conditioned Bus Queue Shelter project believes that this year's "MEED Abu Dhabi Conference" is a platform from which Abu Dhabi's infrastructure will get the corporate Read more
	Right Angle grows arm.(Right Angle Studios )(Brief article) Daily Variety; 5/13/2008; Miller, Winter; 228 words ; Right Angle Studios will branch out from its film fest and filmmaker consulting divisions to launch production arm Right Angle Pictures. Arm will focus on developing properties for emerging filmmakers to produce with indie and studio partners. Right Angle has always supported emerging talent and Read more
	Right-angle gear-motors & reducers. (Fluid Power Components). Designfax; 4/1/2002; 71 words ; This company has expanded its line of planetary reducers to include AC and DC right angle planetary gearmotors as well as stand-alone right angle reducers. They feature a floating sungear design, which provides true involute action that reduces internal gear slippage, resulting in fewer broken Read more
	Atmosphere Change of Vacuum to Hydrogen and Sharpness of {110}[left angle bracket]001[right angle bracket] Texture in Thin-Gaged 3 Pct Si-Fe Alloy Strips Metallurgical and Materials Transactions; 5/1/2006; Heo, N H; Kim, S B; 1858 words ; Heating in vacuum finally resulted in a main {100}[left angle bracket]uvw[right angle bracket] texture and a trace of {111}[left angle bracket]uvw[right angle bracket] texture. However, the texture was changed to the {110}[left angle bracket]001[right angle bracket] texture when the strip was Read more
	Right Angle drillhead variable up to 90[degrees]. (Spotlight Products). Modern Applications News; 5/1/2002; 65 words ; The Royal Workholding special Right Angle drill head is engineered to reduce overall manufacturing time by eliminating costly handling and set-up time. U.S.-made, the drillhead improves product quality by avoiding tolerance stack-ups resulting from additional set-ups. The right angle unit can be Read more
	ProSort 50/50 right angle pusher. (New Products). Material Handling Product News; 2/1/2001; 89 words ; The ProSort 50/50 is a multi-stage right angle pusher designed for use on Hytrol's slider bed conveyor for sorting cartons. Its compact telescoping design reduces the mounting space required over conventional inline right angle pushers and increases the cycle rate at which it can operate. Its Read more
	New tactile switch has LED illumination in a right angle design.(Tools of the Trade)(light emitting diode)(TL1260 Right Angle Illuminated)(Brief article) R & D; 10/1/2007; 37 words ; [ILLUSTRATION OMITTED] The new TL1260 Right Angle Illuminated tact switch from E-Switch has a contact rating of 50 mA @ 12VDC. The TL1260 comes in multiple LED colors and has a life expectancy of 50,000 cycles. * E-Switch, www.e-switch.com Read more
	Right angle machining made simple and easy. MetlFax; 5/1/2000; 65 words ; Titespot right angle heads eliminate secondary operations on right angle machining operations. A high-pressure coolant system drives a positive displacement ball piston motor. Machine spindle rotation is not required. Angle heads machine radially in cavities as small as 1 in dia. Fully index-able Read more
	Right Angle Connectors: The ERNI Group.(NEW PRODUCTS) Wireless Design & Development; 6/1/2003; 70 words ; The ERNI Group announces a 2 mm Hard Metric Right Angle Male Connector. The ERmet 2 mm HM connector is manufactured for gas-tight, pressfit installation into a PCB, and is designed to mate with 2 mm HM right angle or vertical female connectors. This connector is available in 5 rows, with or without Read more

See all related premium articles

Related entries from encyclopedias, dictionaries, and thesauruses

	Angles of Elevation and Depression Mathematics ... with the horizontal. If the line of sight is upward from the horizontal, the angle is an angle of elevation; if the line of sight is downward from the horizontal, the angle is an angle of depression. These types of angles and some trigonometry can ... Read more
	angle Britannica Concise Encyclopedia ... line ) sharing a common endpoint (the vertex). An angle may be thought of as the rotation of a single ray ... 360) or radians (one full rotation = 2 rad). A 90 angle is called a right angle. Any angle less than 90 is an acute angle. Any angle ... Read more
	visual angle A Dictionary of Psychology visual angle n. The angle subtended at the nodal point of the eye's crystalline lens by a visual ... size of the stimulus and its distance from the observer. The visual angle subtended by the moon in the night sky is almost exactly one-half of ... Read more
	Angles, Measurement of Mathematics ... geometry textbooks. As late as the 1920s an angle was typically defined by one of three methods ... 1960s that the modern definition of an angle as "the union of two rays having a common ... definitions above suggest a rotational aspect of angle measurement. On the other hand, the third ... Read more
	critical angle World Encyclopedia critical angle Any angle at which a significant transition occurs. In optics, it is the angle of incidence with a medium at which total internal reflection occurs. In telecommunications, it is the angle at which the ionosphere reflects radio waves. Read more