 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.  Plane Trigonometry - Page 95by George Albert Wentworth - 1887Full view - About this book
 | Richard Dunkley Beasley - Plane trigonometry - 1858 - 144 pages
...been 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 - Logarithms - 1865 - 232 pages
...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... | |
 | William Thomson Baron Kelvin, Peter Guthrie Tait - Mechanics, Analytic - 1872 - 316 pages
...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... | |
 | J. G - 1878 - 408 pages
...that 113355 is the order of the figures in ^-^ if we begin with the denominator. *™ 2. TJe artyle subtended at the centre of any circle by an arc equal to the radius is an invariable angle : that is, is the same for all circles. Remember the value of this... | |
 | William Kingdon Clifford - Mathematics - 1885 - 346 pages
...right angles, -. 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... | |
 | George Albert Wentworth - 1887 - 346 pages
...window above the ground. VII'. (Cambridge, Eng. 2nd Previout Exam., Dee. 1, 1876. Time, 2J hours.) 1.* Assuming that the angle subtended at the centre of...show that any angle may be expressed by the fraction - C — -, the constant angle being taken as the unit. Find the length of the arc subtended by an angle... | |
 | George Albert Wentworth - 1887 - 372 pages
...window above the 'ground. VII. (Cambridge, Eng. 2nd Previous Exam., Dec. 7, lS7fi. Time, 2J hours.) 1.* Assuming that the angle subtended at the centre of...equal to its radius is a constant angle, show that any ancle may be expressed by the fraction — - — , the , ," ii • , i it. -i radius constant angle... | |
 | George Albert Wentworth - Trigonometry - 1888 - 186 pages
...above the ground. VII. (Cambridge, Eng. 2nd Previous Exam., Dec. 7, 1876. Time, 2} Ло«гe.) 1.* Assuming that the angle subtended at the centre of...show that any angle may be expressed by the fraction • — -p — , the constant angle being taken as the unit. Find the length of the arc subtended by... | |
 | George Albert Wentworth - Surveying - 1889 - 360 pages
...window above the ground. VII. (Cambridge, Eng. 2nd Previous Exam., Dec. 7, 1876. Time, 2\ hours.) 1.* Assuming that the angle subtended at the centre of...angle may be expressed by the fraction — - — , the Г ii «- ii ч. -4. radius constant angle being taken as the unit. Find the length of the arc subtended... | |
 | George Albert Wentworth - Surveying - 1889 - 280 pages
...window above the ground. VII. (Cambridge, Eng. 2nd Previous Exam., Dec. 1, 1876. Time, 2i hours.) 1.* Assuming that the angle subtended at the centre of...show that any angle may be expressed by the fraction ^rc , the constant angle being taken as the unit. Find the length of the arc subtended by an angle... | |
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