 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
 | University of Bombay - 1910 - 362 pages
...straight line at a given point. 9. The angle which an arc of a circle subtends at the centre is double 13 that which it subtends at any point on the remaining part of the circumference. С is the centre of a circle and AB any chord. A circle ie described passing through А, С, В ; and... | |
 | Canada - 1917 - 1134 pages
...is parallel to the base. S. (a) The angle which an arc of a circle sjbtends at the centre is double that which it subtends at any point on the remaining part of the circumference, (b) The angle in a semi-circle is a right angle. 9. If two chords of a circle intersect at a point... | |
 | G. P. West - Geometry - 1965 - 362 pages
...properties of a Circle THEOREM 41. 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. 273 THEOREM 42. Angles in the same segment of a circle are equal. 274 THEOREM 43. The angle in a semicircle... | |
 | 464 pages
...192. ANGLE PROI'KKTIES 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. Data The arc ACB of OACB subtends L AOB at the centre O; and subtends L APB at P, any point on the... | |
 | 480 pages
...Fig. 137. Fig. 138. THEOREM 44. 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. That is, in the above figures, the angle x is double the angle y. For proof of this Theorem see Theoretical... | |
 | Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...difference of their radii 61 THEOREM 47. 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 62 THEOREM 48. Angles in the same segment of a circle are equal . 63 THEOREM 49. The angle in a major... | |
 | 460 pages
...Cyclic & Arc Properties 1 . The angle which an arc of a circle subtends at the centre is double than that which it subtends at any point on the remaining part of the circumference. 2. Angles in the same segment of a circle are equal. 3. The angle in a semicircle is a right angle.... | |
 | Geometry - 1973 - 204 pages
...250 Reflex angles 251 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 . 252 THEOREM 9. Angles in the same segment of a circle are equal 254 THEOREM 10. The angle in a major... | |
 | 352 pages
...points? ANGLE PROPERTIES 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. 193. g. 194. Data The arc ACB of ©ACB subtends /LAOB at the centre O; and subtends L APB at P,... | |
 | Education Department - 1879 - 1118 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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