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" 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 - Side 18
1915
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 384 sider
...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...
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The School World: A Monthly Magazine of Educational Work and Progress, Volum 5

1903 - 692 sider
...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....
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School: A Monthly Record of Educational Thought and Progress, Volum 4

1905 - 272 sider
...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...
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Calendar, for the Year ...

1906 - 236 sider
...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....
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Calendar

University of Allahabad - 1907 - 528 sider
...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....
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Calendar, Del 1

University of Calcutta - 1907 - 458 sider
...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....
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Calendar

University of Allahabad - 1908 - 568 sider
...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...
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - 1908 - 228 sider
...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...
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Atti Del ... Congresso Internazionale Dei Matematici ...

1909 - 605 sider
...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....
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Calendar

University of Allahabad - 1909 - 638 sider
...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...
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