 | A. Freeland Fergus - Eye - 1903 - 130 pages
...the centradian and as to the prism-dioptre. there it was stated that the unit of this measurement is the angle subtended at the centre of a circle by an arc equal in length to the radius of the circle. This angle is approximately 57'295 degrees, and is called the... | |
 | Andrew Jamieson - Mechanics, Applied - 1903 - 748 pages
...and not in degrees. The unit angle in circular measure is called the radian, and may be defined as the angle subtended at the centre of a circle by an arc of its circumference, equal in length to the radius of the circle. Hence, if t is in seconds, the unit... | |
 | Henry Taylor Bovey - Engineering mathematics - 1905 - 1016 pages
...Centrifugal Force. — Angular velocity may be defined as the number of radians per second, a radian being the angle subtended at the centre of a circle by an arc equal in length to 180° the radius. This angle is - -=57.2958 degrees, and if a wheel makes N revolutions... | |
 | Ervin Sidney Ferry - Dynamics - 1906 - 202 pages
...measurement called the radian is frequently employed. The radian is the angle subtended at the center of a circle by an arc equal to the radius of the circle. Thus, in the figure AB • -^j = * radians. (JA Again, from the definition, Fi%- 49360° [ = ^^- I... | |
 | Encyclopedias and dictionaries - 1907 - 936 pages
...equal parte called seconds. For theoretical purposes we define the unit angle to be the angle «Mauled at the centre of a circle by an arc equal to the ratlins. This In many treatises the radian Flo. 13. angle we call a "radian.1 measure of an angle is... | |
 | Ernest Edmund Maddox - 1907 - 236 pages
...taken from the well-known " circular measure." It is the hundredth part of a " radian," a radian being the angle subtended at the centre of a circle by an arc which is equal in length to the radius. Its ensign is an inverted delta. Circular measure has a certain... | |
 | Edgar Thomas Larner - Electric currents, Alternating - 1908 - 184 pages
...is the number of radians it contains. The radian is the unit of circular measure, and is" defined as the angle subtended at the centre of a circle by an arc equal to the radius. The circular measure of one right angle or 90° is 7T. „ „ two right angles or 180° is -. three... | |
 | David Allan Low - Mechanics, Applied - 1910 - 576 pages
...<al = o, then v =ft, t = i/<2, and v* = 2/i, also, ia = at, 6 = \afi, and <u2 = 2a6. * A radian is the angle subtended at the centre of a circle by an arc of that circle equal in length to the radius. Hence the number of radians in an angle or the circular... | |
 | Trinity College (Dublin, Ireland) - 1911 - 614 pages
...assuming that the circumference of every circle has a fixed ratio to its diameter, prove that the size of the angle subtended at the centre of a circle by an arc equal to the radius is the same for all circles. 7. A clock-dial 4 feet in diameter has minute-marks on its circumference.... | |
 | Encyclopedias and dictionaries - 1911 - 1096 pages
...trigonometry the circular measure of an angle Is employed, in this system the unit angle or radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. The constancy of this angle follows from the geometrical propositions —... | |
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Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... 
