 A unit of plane angular measurement equal to the angle at the center of a circle subtended by an arc equal in length to the radius.  Plane Trigonometry - Page 12by Levi Leonard Conant - 1909 - 183 pagesFull view - About this book
 | Isaac Newton - Celestial mechanics - 1803 - 280 pages
...elliptic feaorQFL. This angle or equation is determined by the following rule. Let R be an angle fubtended by an arc equal in length to the radius of the circle, viz. 57/29578 degrees ; and let A be an angle whofe fine is to the radius as GM, the bale of the fegment,... | |
 | Popular encyclopedia - 1877 - 526 pages
...called the circular measure of the angle. The unit angle in circular measure is the ngle at the centre of a circle subtended by an arc equal in length to the radius. Angles may be com>ared by means of certain functions which we proseed to define: Let the angle be an... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...circular measure ? Express in degrees the unit of angle in circular measure, and show that this angle is subtended by an arc equal in length to the radius of the circle. Express in circular measure the least angle of an isosceles triangle in which the vertical angle is... | |
 | John Thornton (M.A.) - Astronomy - 1890 - 372 pages
...another angular unit that is sometimes employed, called a radian. A radian is the angle at the centre of a circle subtended by an arc equal in length to the radius of the circle. All radians are equal, and the magnitude of an angle may be expressed by the number of radians to which... | |
 | James Edward Oliver - Trigonometry - 1890 - 186 pages
...called degree-measure. Another absolute standard unit is the angle at the centre of a circle that is subtended by an arc equal in length to the radius of the circle. This angle, being subtended by a radius-arc, is called a radian; and since the half-circle contains... | |
 | John Maximilian Dyer - Plane trigonometry - 1891 - 306 pages
...approximate value тг = 3-14159, it is found to be 57 -2957°. 10. Definition. This angle at the centre of a circle, subtended by an arc equal in length to the radius, is called a Radian. 11. The Radian is taken as a standard for a third system of measuring angles, called... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Plane trigonometry - 1893 - 434 pages
...other angles are measured. 55. DEFINITION. A radian is the angle subtended at the centre of any circle by an arc equal in length to the radius of the circle. " In the above figure, ABC is a circle, and 0 its centre. If on the circumference we measure an arc AB equal... | |
 | John Ellard Gore - Astronomy - 1894 - 382 pages
...the Earth ? Those who are familiar with the first principles of Trigonometry will know that the angle subtended by an arc equal in length to the radius of the circle is 206,265". One foot, therefore, on the circumference of a circle of 206,265 feet radius, will subtend... | |
 | John Bascombe Lock - Logarithms - 1896 - 242 pages
...right angles has never been used. CIRCULAR MEASURE 15. DEFINITION. A radian is an angle at the centre of a circle, subtended by an arc equal in length to the radius of the circle. Thus if in the circle RPS, whose centre is О, arc RP = radius OR, then, angle ROP is a radian. 16.... | |
 | Mathematics - 1898 - 228 pages
...apothem of a regular hexagon of one-half as great area. 3. Find the degrees, minutes and seconds in the angle at the center of a circle subtended by an arc equal to 0.32754 of the radius (use logarithms). 4. If the area of a square is 0.074225 square feet find... | |
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