 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, if the line joining two points subtends equal angles...  The New Zealand University Calendar - Page 184by University of New Zealand - 1904Full view - About this book
 | 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... | |
 | University of Allahabad - 1909 - 638 pages
...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... | |
 | Alexander H. McDougall - Geometry - 1910 - 316 pages
...IN A CIRCLE THEOREM 6 The angle which an arc of a circle subtends at the centre is double the angle which it subtends at any point on the remaining part of the circumference. E Hypothesis. — ABC is an arc of a circle, D the centre, and E any point on the remaining part of... | |
 | University of Calcutta - 1911 - 446 pages
...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...it, the four points lie on a circle. The angle in a semi -circle is a right angle ; the angle in a segment greater than a semi-circle is less than a right... | |
 | University of Allahabad - 1911 - 726 pages
...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...two points subtends equal angles at two other points ou the same side of it, the four points lie on a circle. The angle in a semi-circle is a right angle,... | |
 | Queensland. Department of Public Instruction - Education - 1911 - 218 pages
...unequal circles. Give a proof. 9. 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. Show that this is true— (a) When the centre of the circle is inside the angle at the circumference,... | |
 | University of Allahabad - 1912 - 918 pages
...straight line throngh 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...other points on the same side of it, the four points lio on a circle. The angle in a semi-circle is a right angle, the angle in a segment greater than a... | |
 | Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...perpendicular to BD. 7. Show that 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. Two circles intersect at A and B and a chord through A meets one of them again at P and the other at... | |
 | University of Calcutta - 1912 - 746 pages
...a right angle. 8 Hence show how to construct a tangent to a circle from any point 6 outside it. Or, Angles in the same segment of a circle are equal ; and if the line 8 joining two points subtends equal angles at two other points on the same side of it, the four points... | |
 | Great Britain. Board of Education - Education - 1912 - 1044 pages
...perpendicular to BD. 7. Show that 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. Two circles intersect at A and B and a chord through A meets one of them again at P and the other at... | |
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