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A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. [4] It is not an SI unit—the SI unit of angular measure is the radian—but it is mentioned in the SI brochure as an accepted unit. [5]
The trigonometric functions of angles that are multiples of 15°, 18°, or 22.5° have simple algebraic values. These values are listed in the following table for angles from 0° to 45°. [1] In the table below, the label "Undefined" represents a ratio :
The various charts on SO(3) set up rival coordinate systems: in this case there cannot be said to be a preferred set of parameters describing a rotation. There are three degrees of freedom, so that the dimension of SO(3) is three. In numerous applications one or other coordinate system is used, and the question arises how to convert from a ...
These directions are expressed in degrees from 0–360°, and also fractions of a degree. The differences between these two directions at any point on the globe is magnetic variation (also known as magnetic declination , but for the purposes of the mnemonic, the term 'variation' is preferred).
For example, an object relative bearing of 0 degrees would be immediately in front; an object relative bearing 180 degrees would be behind. [2] Bearings can be measured in mils, points, or degrees. Thus, it is the same as an azimuth difference (modulo +/- 360 degrees).
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The average portolan chart had sixteen such roses (or confluence of lines), spaced out equally around the circumference of a large implicit circle. The cartographer Cresques Abraham of Majorca, in his Catalan Atlas of 1375, was the first to draw an ornate compass rose on a map. By the end of the 15th century, Portuguese cartographers began ...
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