 The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. Angles in the same segment of a circle are equal; and.  Bulletin - Page 181915Full view - About this book
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...that ^.DAC = 24.ABC.— 2^.ACB. THEOREM 8. The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. fig. 241. fig. 242. Data The arc ACB of 0ACB subtends L. AOB at the centre O; and subtends L. APB at... | |
 | Education - 1903 - 692 pages
...centre is double that which it tends at any point on the remaining part of the circumference. Angles at the same segment of a circle are equal ; and, if the line joining two points subtends equal angles at two other points on the same side of it, the four points lie on a circle.... | |
 | Ed - 1905 - 272 pages
...perpendicular to BC, then AB1 - AC1 = 2BC . DD'. (A) The angle which an arc subtends at the centre of a circle is double that which it subtends at any point on the remaining part of the circumference. (B) Draw a circle of radius 4 cm., and take a point 6.5 cm. from its centre. Construct a pair of tangents... | |
 | 1906 - 236 pages
...expected in order to qnnhfy for any of the several classes. I. 1. Prove the following theorems : — (a) Angles in the same segment of a circle are equal ; and, if the line joining two points subtends equal angles at two other points on the same side of it, the four points lie on a circle.... | |
 | University of Allahabad - 1907 - 528 pages
...on the straight line through the centres. The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the.../ circle are equal ; and, if the line joining two points subtends equal angles at two other points on the same side of it, the four points lie on a circle.... | |
 | University of Calcutta - Universities and colleges - 1907 - 458 pages
...on the straight line through the centres. The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the...of a circle are equal ; and if the line joining two points subtends equal angles at two other points on the same side of it, the four points lie on a circle.... | |
 | University of Allahabad - 1908 - 568 pages
...on the straight line through the centres. The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the...of the circumference. Angles in the same segment of n circle are equal ; and, if the line joining two points subt- ads equal angles at two other points... | |
 | Walter Percy Workman - Geometry - 1908 - 228 pages
...PROPERTIES. Angular Properties. AC. 1. — The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining arc of the circumference . . . (Euc. III. 2O) 254 AC. 2. — Angles in the same segment of a circle... | |
 | Mathematics - 1909 - 605 pages
...on the straight line through the centres. The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the...of a circle are equal; and, if the line joining two points subtends equal angles at two other points on the same side of it, the four points lie on a circle.... | |
 | University of Allahabad - 1909 - 638 pages
...on the straight line through the centres. The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. A ngles in the same segment of a circle are equal ; and, if the line joining two points subtends equal... | |
| |
