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Definition: angle from Philip's Encyclopedia

Measure of the inclination of two straight lines or planes to each other. One complete revolution is divided into 360 degrees or 2π radians. One degree may be subdivided into 60 minutes, and one minute into 60 seconds.

angle

From The Hutchinson Unabridged Encyclopedia with Atlas and Weather Guide
In mathematics, the amount of turn or rotation; it may be defined by a pair of rays (half-lines) that share a common endpoint ( vertex ) but do not lie on the same line. Angles are measured in degrees (°) or radians (rads or c ) – a complete turn or circle being 360° or 2π rads. All angles around a point on a straight line add up to 180°. All angles around a point add up to 360°. Angles are classified generally by their degree measures: acute angles are less than 90°; right angles are exactly 90° (a quarter turn) and are created by two perpendicular lines crossing; obtuse angles are greater than 90° but less than 180° (a straight line); reflex angles are greater than 180° but less than 360°; supplementary angles add up to 180°. Angles in triangles A triangle has three interior angles that together add up to 180°. In an equilateral triangle these angles are equal (60°). The exterior angles of a triangle (those produced if one side is extended beyond the triangle) are equal to the sum of…
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Full text Article angle

From The Penguin Dictionary of Mathematics
A configuration of two lines (the sides or arms ) meeting at a point (the vertex ). Often an angle is regarded as the measure of the rotation involved in moving from one initial axis to coincide with another final axis (termed a direction angle ). If the amount and sense of the rotation are…
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Full text Article angle

From Word Origins
There have been two distinct words angle in English. The older is now encountered virtually only in its derivatives, angler and angling , but until the early 19th century an angle was a ‘fishing hook’ (or, by extension, ‘fishing tackle’). It entered the language in the Old English period, and was…
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Full text Article angle

From The Hutchinson Unabridged Encyclopedia with Atlas and Weather Guide
angle
In mathematics, the amount of turn or rotation; it may be defined by a pair of rays (half-lines) that share a common endpoint ( vertex ) but do not lie on the same line. Angles are measured in degrees (°) or radians (rads or c ) – a complete turn or circle being 360° or 2π rads. All angles around a…
| 347 words , 2 images
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Full text Article angle

From The Columbia Encyclopedia
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…
| 210 words
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Full text Article ANGLE

From Gaither's Dictionary of Scientific Quotations
Anglo-Irish mathematician, physicist, and astronomer After all, are you sure that it is impossible to trisect the angle by Euclid? I have not to lament a single hour thrown away on the attempt, but fancy that it is rather a tact, a feeling, than a proof, which makes us think that the thing cannot be…
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Full text Article angler

From The Columbia Encyclopedia
or anglerfish, common name for a member of the order Lophiiformes, predacious fishes found worldwide; many are deep-sea dwellers. Anglers lure their prey with a long, wormlike appendage that extends forward and dangles over the mouth. When the lure is touched, the huge mouth closes automatically. …
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Full text Article solid angle

From The Penguin Dictionary of Mathematics
A configuration in three dimensions formed by all the half-lines originating at a common point and passing through a closed plane curve . There are two types of solid angle. In one the closed curve is a smooth curve, so that the solid angle is a nappe of a conical surface. In the other type the…
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Full text Article angle 2

From The American Heritage(R) Dictionary of the English Language
Mathematics a. The figure formed by two lines diverging from a common point. b. The figure formed by two planes diverging from a common line. c. The rotation required to superimpose either of two such lines or planes on the other. d. The space between such lines or surfaces. e. A solid angle. …
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Full text Article Pressure Angle

From Dictionary of Industrial Terms
The angle between a tooth profile and a radial line at its pitch point. In involute teeth, pressure angle is often described as the angle between the line of action and the line tangent to the pitch circle. Standard Pressure Angles are established in connection with standard gear-tooth proportions. …
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Full text Article critical angle

From An Illustrated Dictionary of Aviation
If radio wave hits the ionosphere at an angle...
i. The minimum angle of incidence at which a radio wave of a particular frequency can strike the ionosphere and still be reflected back to the earth. Critical angle is a function of frequency; the higher the frequency, the larger the critical angle. If radio wave hits the ionosphere at an angle…
| 247 words , 3 images
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