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" Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... "
Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ... - Pagina 7
door Woolwich roy. military acad - 1884
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Mathematical and Physical Papers, Volume 5

William Thomson Baron Kelvin, Joseph Larmor, James Prescott Joule - 1911 - 628 pagina’s
...This will be expressed in degrees by multiplying by 57 '3, the number of degrees in the radian, or angle subtended at the centre of a circle by an arc equal in length to the radius. Therefore, the amount of error produced by such a current on the compass will be 57-3/7-5...
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Elements of Plane Trigonometry

Daniel Alexander Murray - 1911 - 158 pagina’s
...France, has not come into general use. In the circular system the unit angle is the angle which is subtended at the centre of a circle by an arc equal in length to the radius. This angle is called a radian. The radian FIG. 34. FIG. 35. measure (often called the circular...
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1911 - 614 pagina’s
...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...
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Practical Geometry & Graphics: A Text-book for Students in Technical and ...

Edward L. Bates, Frederick Charlesworth - 1912 - 648 pagina’s
...know that the magnitudes of angles may be measured in units called degrees. If we choose as a unit the angle subtended at the centre of a circle by an arc equal in length to the radius, such an angle or unit is called a radian, and the magnitude of an angle expressed in radians...
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Mechanics for Builders, Volume 1

Edward L. Bates, Frederick Charlesworth - 1913 - 226 pagina’s
...have equal areas. x CIRCULAR MEASURE OF AN ANGLE The unit of circular measure is a radian, which is the angle subtended at the centre of a circle by an arc (not chord) of length equal to the radius. Note. — The whole circumference 271* = 277r; hence there...
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Wireless Telegraphy and Telephony: A Handbook of Formula, Data and Information

William Henry Eccles - 1918 - 576 pagina’s
...free to oscillate with its own frequency. RADIAN. The unit of circular measure of angle. One radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. 1 radian = 180/7r==57-3 deg. RADIATION. The act of emitting waves ; the waves emitted....
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The Errors of Accommodation and Refraction of the Eye and Their Treatment: A ...

Ernest Clarke - 1918 - 266 pagina’s
...centrad as the unit for numbering prisms. The centrad 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. A prism I centrad, designated I v. deviates a ray of light...
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1919 - 562 pagina’s
...lOs. respectively. What amount should each creditor receive ? THIOONOMHTKY. MR. H. THRIFT. 1. Show that the angle subtended at the centre of a circle by an arc equal to the radius is an invariable angle. If TT = 3-14159, calculate the number of seconds in this angle....
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Mathematical and Physical Papers

Sir Joseph Larmor - 632 pagina’s
...l/7'5. This will be expressed in degrees by multiplying by 57'3, the number of degrees in the radian, or angle subtended at the centre of a circle by an arc equal in length to the radius. Therefore, the amount of error produced by such a current on the compass will be 57'3/7'5...
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A Dictionary of Applied Physics: Mechanics, engineering, heat

Richard Glazebrook - 1922 - 1090 pagina’s
...= 1-60285. (i.) The Radian. — The unit of measurement for ancles is the radian, which is equal to the angle subtended at the centre of a circle by an arc of length equal to the radius. T radians = 180°, 1 radian =57-29578° = 57° 17' 44-81', 1" . =0-017453...
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