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" Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius... "
A Manual of Mechanics: An Elementary Text-book Designed for Students of ... - Сторінка 61
автори: Thomas Minchin Goodeve - 1886 - 228 стор.
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A Text-book of Geometry

George Albert Wentworth - 1888 - 264 стор.
...the centre by an arc 6 feet 5 inches long, if the radius of the circle is 8 feet 2 inches. 414. Find the angle subtended at the centre of a circle by an arc whose length is equal to the radius of the circle. 415. What is the length of the arc subtended by...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 стор.
...solution of triangles.) [NB — Great importance 1mll be attached to accuracy in results.] 1. Prove that angle subtended at the centre of a circle by an arc equal in length to its radius is an invariable angle. One angle of a triangle is 45°, and the circular measure...
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Advanced Physiography

John Thornton (M.A.) - 1890 - 372 стор.
...the angle s is about 15' 3"' This gives the moon's semi-diameter as 1,076 miles. Knowing then that the angle subtended at the centre of a circle by an arc equal to the radius contains 206,265", and tnat other angles are proportional to the arcs on which they stand (which arcs...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 стор.
...the ninetieth part of a right angle, and is called a degree. 2°, the theoretical unit, which is that angle subtended at the centre of a circle by an arc equal in length to its radius, and is called a radian. way to measure the size of an angle is to consider...
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Electric Light Fitting: A Handbook for Working Electrical Engineers ...

John W. Urquhart - 1890 - 308 стор.
...will be expressed in -15 7'5 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 compas will...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 418 стор.
...of the square. 8. The area of a circle is 40 feet ; find the side of the inscribed square. 9. Find the angle subtended at the centre of a circle by an arc G feet long, if the radius is 8 feet long. 10. Find the length of the arc subtended by one side of...
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A Treatise on Elementary Trigonometry

John Bascombe Lock - 1892 - 354 стор.
...= 2 sin A + cot A. III. CAMBRIDGE LOCAL EXAMINATIONS. Dee. 1886. JUNIOII CANDIDATES. 1. Prove that the angle subtended at the centre of a circle by an arc equal to the radius is the same for all circles. Express the angle as a fraction of a right angle. 2. Define the sine, cosine...
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A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - 1892 - 392 стор.
...never will be used in practical work. 8. The Circular Measure. — The unit of circular measure is the angle subtended at the centre of a circle by an arc equal in length to the radius. This unit of circular measure is called a radian. Let O be the centre of a...
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Elements of Plane and Spherical Trigonometry: With Numerous Examples

Edward Albert Bowser - 1892 - 194 стор.
...never will be used in practical work. 8. The Circular Measure. — The unit of circular measure is the angle subtended at the centre of a circle by an arc equal in length to the radius. This unit of circular measure is called a radian. Let 0 be the centre of a...
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Elementary Trigonometry

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1893 - 434 стор.
...measure. In theoretical work it is convenient to use another method of measurement, where the unit is the angle subtended at the centre of a circle by an arc whose length is equal to the radius. This system is known as Circular or Radian Measure, and will be...
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