 | 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... | |
 | John Gibson - Civil service - 1903 - 288 pages
...Intermediate Trigonometry. 3 hours. (Set at an Admiralty Junior Appointment Competition.) 1. Prove that the angle subtended at the centre of a circle by an arc which is equal in length to the radius is an invariable angle, and explain what is meant by the circular... | |
 | 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... | |
 | 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... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...area of 60 square inches. Find the length of an arc of 40°. 9. Find the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. 10. Find the area of a square inscribed in a circle whose radius is 5. 11. A square is inscribed in... | |
 | Charles E. Larard, Henry A. Golding - Engineering - 1909 - 508 pages
...measure. The unit of measurement called the radian is an angle at the centre of a circle subtending an arc whose length is equal to the radius of the circle. Thus, referring to fig. 67, let aOb „ _ be an angle at the centre 0 such that arc abc equals radius... | |
 | 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... | |
 | Encyclopedias and dictionaries - 1911 - 1124 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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Find the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle. 
