 | 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,... | |
 | William Rossiter - 1868 - 186 pages
...ratio of circumference to diameter ............ 76 ° expresses the number of degrees contained in an angle subtended by an arc equal in length to the radius ..... 76 Sin A : sin В : sm С : : a : b : c 60 Sin A _ sin В _ sin G g-. я = i (a + 6 + c) . Area... | |
 | 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 Bascombe Lock - 1882 - 378 pages
...respectively, will be all of the same size. 59. DEFINITION. The angle which at the centre of a circle stands on an arc equal in length to the radius of the circle is called a Radian. 60. To prove that all Radians are equal to one another. Since the Radian at the centre of a circle... | |
 | John Bascombe Lock - Trigonometry - 1885 - 368 pages
...respectively, will be all of the same size. 59. DEFINITION. The angle which at the centre of a circle stands on an arc equal in length to the radius of the circle is called a Radian. 60. To prove that all Radians are equal to one anotJwr. Since the Radian at the centre of a circle... | |
 | 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 Thornton (M.A.) - Astronomy - 1890 - 372 pages
...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... | |
 | John Bascombe Lock - Plane trigonometry - 1892 - 354 pages
...respectively, will be all of the same size. 59. DEFINITION. The angle which at the centre of a circle stands on an arc equal in length to the radius of the circle is called a Kadiail. 60. To prove that all Radians are equal to one anotfter. Since the Radian at the centre of... | |
 | 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... | |
 | John Ellard Gore - Astronomy - 1894 - 382 pages
...from 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... | |
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Equation 3, we see that an angle of 1 rad is the angle subtended at the center of a circle by an arc equal in length to the radius of the circle (see Figure 2). 
