 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 Calendar - Page 73by University of South Africa - 1913Full view - About this book
 | 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... | |
 | 1902 - 716 pages
[ Sorry, this page's content is restricted ] | |
 | Education - 1903 - 692 pages
...centre is double that which it tends at any point on the remaining part of the circumference. Angles at the same segment of a circle are equal ; and, if the...it, the four points lie on a circle. The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...Draw a circle round ACB ; notice whether it passes through D. THEOREM 11. [CONVERSE OF THEOREM 9.] If the line joining two points subtends equal angles...same side of it, the four points lie on a circle. B fig. 253. g. ' Data The line joining AB subtends equal L. s at the points C, D, which lie on the... | |
 | 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 - 1907 - 458 pages
...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...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 - 1907 - 528 pages
...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...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 Calcutta - Universities and colleges - 1908 - 516 pages
...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...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... | |
 | 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... | |
 | 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... | |
| |
