 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 He on a circle.  The Bombay University Calendar - Page 62by University of Bombay - 1912Full view - About this book
 | Queensland. Department of Public Instruction - Education - 1909 - 144 pages
...Construct a triangle having a base of 'A inches, an altitude of 2 inches, and a vertical angle of 60°. (i. If the line joining two points subtends equal angles at two other ixiints on the same side of it, the four points lie on n circle. 7. Each of two equal circles passes... | |
 | 1894 - 786 pages
...can be drawn from that point to the circumference. 8. The angle which a chord of a circle subtends at the centre is double that which it subtends at any point on that part of the circumference which lies on the same side of it as the centre. 9. Show how to describe... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...point D. Prove 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...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... | |
 | 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 ;...same side of it, the four points lie on a circle. (6) The rectangle contained by the diagonals of any quadrilateral is less than the sum of the rectangles... | |
 | University of Calcutta - Universities and colleges - 1908 - 516 pages
...contact lies 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...points subtends equal angles at two other points on the seme side of it, the four points lie on a circle. The angle in a semi-circle is a right angle ; the... | |
 | University of Allahabad - 1908 - 568 pages
...contact lies 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...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... | |
 | Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...centres rt A, B, C respectively, such that each circle shall touch the other two externally. (16) 23. If the line joining two points subtends equal angles at two other points on the same side of it, show that the four points lie ou a circle. Show that, of all triangles of equal area which stjiud on... | |
 | Walter Percy Workman - Geometry - 1908 - 228 pages
...CIRCLE: ANGULAR 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... | |
 | University of Allahabad - 1909 - 638 pages
...contact lies 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...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... | |
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