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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... "
Calendar - Page 120
by University of Calcutta - 1907
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BTEC First Mathematics for Technicians

Alec Greer, Graham William Taylor - Juvenile Nonfiction - 1982 - 358 pages
...circle is found from the formula: C = ird or C = 2irr where d is the diameter and r is the radius. b) The angle which an arc of a circle subtends at the centre of a circle is twice the angle which the arc subtends at the circumference. c) If a triangle is inscribed...
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Tables, Data and Formulae for Engineers and Mathematicians

Mathematics - 1989 - 108 pages
...GEOMETRY OF THE CIRCLE PQ = diameter (d) RS J- PQ PX = h RX = XS = x AE X EB = CE X ED "Thor7\ ,^.*t\ The angle which an arc of a circle subtends at the centre of a circle is twice the angle which the arc subtends at the circumference. The tangent to a circle...
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Certificate Mathematics: A Revision Course for the Caribbean

Alex Greer, Clarrie Layne - Juvenile Nonfiction - 2001 - 498 pages
...31 The Circle Fig. 31.1 shows the main components of a circle. tangent Fig. 31.1 ANGLES IN CIRCLES The angle which an arc of a circle subtends at the centre is twice the angle which the arc subtends at the circumference. Thus in Fig. 31.2, ZAOB = 2 x ZAPB If...
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STP National Curriculum Mathematics 11B

Linda Bostock - Juvenile Nonfiction - 2002 - 438 pages
...between .v and v. Second fact These results together with investigation 2 of Exercise 1 1 D show that the angle which an arc of a circle subtends at the centre is equal to nvice the angle the arc subtends at any point on the remaining circumference. d° = 2 x 56°...
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The Bombay University Calendar, Volume 1

University of Bombay - 1916 - 650 pages
...circle, (iii) they make equal angles with the straight line joinin" the given point to the centre. . " If two circles touch, the point of contact lies on...the same segment of a circle are equal ; and, if the linejoininotwo points subtends eqnal angles at two other points on the same side of it* the four points...
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New Examination Statutes

University of Oxford - Universities and colleges - 1915 - 622 pages
...tangent at any point of a circle and the radius through the point are perpendicular to one another. If two circles touch, the point of contact lies on...circumference. Angles in the same segment of a circle are equal ; arid, if the line joining two points subtends equal angles at two other points on the same side of...
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The Bombay University Calendar

University of Bombay - 1904 - 1172 pages
...tangent at any point of a circle and the radius through the point are perpendicular to one another. If two circles touch, the point of contact lies on...circumference. Angles in the same segment of a circle are eqnal ; and if the line joining two points subtends equal angles at two other points on the same side...
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Calendar

University of Birmingham - 1917 - 852 pages
...tangent at any point of a circle and the radius through the point are perpendicular to one another. If two circles touch, the point of contact lies on...the circumference. Angles in the same segment of a cirde are equal; and, if the line joining two points subtends equal angles at two other points on the...
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Calendar

University of Cambridge - 1907 - 1634 pages
...tangent at any point of a circle and the radius through the point are perpendicular to one another. If two circles touch, the point of contact lies on...on the remaining part of the circumference. Angles ill tile same segment of a circle are equal ; and, if the line joining two points subtends equal angles...
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The Bombay University Calendar, Volume 1

University of Bombay - 1908 - 954 pages
...tangent at any point of a circle and the radius through the point areperpendicular to one another. If two circles touch, the point of contact lies on...of a circle subtends at the centre is double that wnich it subtends at any point on the remaining part of the circumference. Angles in the same segment...
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