 | William Elwood Byerly - 1888 - 284 pages
...higher mathematics an angle is represented numerically, not by the number of degrees it contains but by the ratio of the length of its arc to the length of the radius with which the arc is described. Thus the angle 0 is said to be equal to arc<? . If the arc is r described... | |
 | William Elwood Byerly - Calculus, Integral - 1895 - 298 pages
...higher mathematics an angle is represented numerically, not by the number of degrees it contains but by the ratio of the length of its arc to the length of the radius with which the arc is described. Thus the angle 0 is said to be equal to —— If the arc is described... | |
 | Elmer Adelbert Lyman, Edwin Charles Goddard - Plane trigonometry - 1899 - 188 pages
...into 100 grades, the grade into 100 minutes, and the minute into 100 seconds, marked *' ", as 50& 7(f 28". The great labor involved in changing mathematical...length of the radius. In the figure, for the angle 0, OA OB 00 AA! BB' OO' That this ratio of arc to radius for a fixed angle is constant follows from... | |
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It is based on the fact that for a given angle the ratio of the length of its arc to the length of the radius... 