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... Calendar, for the Year ... - Strana xxii1906Úplné zobrazenie - O tejto knihe
| Queensland. Department of Public Instruction - 1909 - Počet stránok 144
...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... | |
| 1903 - Počet stránok 692
...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...same side of 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... | |
| Charles Godfrey, Arthur Warry Siddons - 1903 - Počet stránok 384
...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... | |
| University of Calcutta - 1907 - Počet stránok 458
...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 ;...same side of 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... | |
| University of Allahabad - 1907 - Počet stránok 528
...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...same side of 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... | |
| University of Calcutta - 1908 - Počet stránok 516
...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 ;...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... | |
| Great Britain. Education Department. Department of Science and Art - 1908 - Počet stránok 328
...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... | |
| Walter Percy Workman - 1908 - Počet stránok 228
...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... | |
| 1909 - Počet stránok 605
...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;...same side of 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... | |
| University of Allahabad - 1909 - Počet stránok 638
...centre is double that which it subtends at any point on the remaining part of the circumference. A ngles in the same segment of a circle are equal ; and, if...same side of 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... | |
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