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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, if the line joining two points subtends equal angles... "
The New Zealand University Calendar - Page 184
by University of New Zealand - 1904
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 21

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...
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Report of the Secretary for Public Instruction ..., Volume 33

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...
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The Practical Teacher, Volume 2

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...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

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...
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Elementary Geometry: Practical and Theoretical

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...
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School: A Monthly Record of Educational Thought and Progress, Volume 4

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...
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Calendar, for the Year ...

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...
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Calendar, Part 1

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...
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Calendar

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...
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

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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