 | Richard Dunkley Beasley - 1858 - 144 σελίδες
...calculated, and is 22 found to be 3-14159 or the fraction — - nearly. 66. We must next prove that the angle subtended at the centre of any circle by an arc equal to the radius of the circle is of invariable magnitude. Let A OP (fig. Art. 7) be an angle at the centre... | |
 | John Walmsley - 1865 - 232 σελίδες
...subtended at the centre of a circle by an are equal in length to the radius is constant. Let ш be the angle subtended at the centre of any circle by an arc equal in length to the radius. Then, since, by Eue. VI. 33, the angles at the centre are to one another as the arcs upon... | |
 | William Thomson Baron Kelvin, Peter Guthrie Tait - 1867 - 914 σελίδες
...employed, of course, when circular measure is adopted, the unit of circular measure being tin- anglr subtended at the centre of any circle by an arc equal in length measure. to the radius. Thus two right angles have the circular measure Angular IT or 3-14159, so that... | |
 | William Thomson Baron Kelvin, Peter Guthrie Tait - 1872 - 316 σελίδες
...division is employed, of course, when circular measure is adopted, the unit of circular measure being the angle subtended at the centre of any circle by an arc equal in length to the radius. Thus two right angles have the circular measure IT or 3-14159..., so that TS and 180°... | |
 | George Albert Wentworth - 1882 - 160 σελίδες
...ground. VII. (Cambridge, Eng. 2nd Previous Exam., Dec. 7, 1876. Time, 2J hours.) Ï.* Assuming that the angle subtended at the centre of any circle by an arc equal to its radius is a constant angle, show that any angle may be expressed by the fraction — — —... | |
 | George Albert Wentworth - 1884 - 330 σελίδες
...ground. VII. (Cambridge, Eng. 2nd Previous Exam., Dec. 7, 1876. Time, 2J hours.) 1.* Assuming that the angle subtended at the centre of any circle by an arc equal to its radius is a constant angle, show that any angle may be expressed by the fraction , the constant... | |
 | William Kingdon Clifford - 1885 - 312 σελίδες
...angles, 2 TT = — of two right angles, = .636 of a right angle TT approximately. Thus we see that the angle subtended at the centre of any circle by an arc equal to the radius is a constant fraction of a right angle. If this angle be chosen as the unit, we deduce... | |
 | George Albert Wentworth - 1887 - 346 σελίδες
...ground. VII'. (Cambridge, Eng. 2nd Previout Exam., Dee. 1, 1876. Time, 2J hours.) 1.* Assuming that the angle subtended at the centre of any circle by an arc equal to its radius is a constant angle, show that any angle may be expressed by the fraction - C — -,... | |
 | George Albert Wentworth - 1887 - 206 σελίδες
...ground. VII. (Cambridge, Eng. 2nd Previous Exam., Dee. 7, 1876. Time, 2} houn.) I* Assuming that the angle subtended at the centre of any circle by an arc equal to its radius is a constant angle, show that any angle may be expressed by the fraction — — —... | |
 | William Kingdon Clifford - 1891 - 312 σελίδες
...angles, ii 7T = — of two right angles, = '636 of a right angle 7T approximately. Thus we see that the angle subtended at the centre of any circle by an arc equal to the radius is a constant fraction of a right angle. If this angle be chosen as the unit, we deduce... | |
| |
The horizontal distance between the two towers being 492 feet, find the height of Appleton Chapel and the distance of the window above the ground. VII. (Cambridge, Eng. 2nd Previous Exam., Dec. 
