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
| 1877 - 682 pages
...and produced to F, and if CH be produced to meet BF in L, prove that CL is perpendicular to BF. 6. In **a circle, the angle in a semicircle is a right angle ; the angle** iu a segment greater than a semicircle is less than я right angle ; and the angle in a segment less... | |
| 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... | |
| Education - 1883 - 654 pages
...certain limits, and draw the longest and shortest chords that can be drawn through the point. 5. In **a circle the angle in a semicircle is a right angle. The** circle ABC passes through the centre of the circle DBC ; find the point of intersection of the tangents... | |
| Joseph Hughes - Education - 1883
...certain limits, and draw the longest and shortest chords that can be drawn through the point. 5. In **a circle the angle in a semicircle is a right angle. The** circle ABC passes through the centre of the circle DBC ; find the point of intersection of the tangents... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 pages
...= 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... | |
| Ed - 1905
...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
...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...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
...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...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
...III. 2O) 254 AC. 2. — Angles in the same segment of a circle are equal (Euc. III. 21) 255 AC.Sc. — **If the line joining two points subtends equal angles at two other points on the same side of it,** then the four points are concyclic ........... 256 Loci.t L.6. — The locus of the vertex of a triangle... | |
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