| McGill University - 1868 - 402 pages
...half the base, and twice the square of the bisecting line. 4. Find the centre of a given circle. 5. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. 6. Divide a right line similarly to a given divided line, a. Divide a right line into n equal parts.... | |
| 312 pages
...to the radius through the point of contact. 7. Angles in the same segment of a circle are equal. 8. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. 9. The angle between the tangent at any point of a circle and a chord through that point is equal to... | |
| 228 pages
...triangle on the opposite sides are concurrent. 7. Angles in the same segment of a circle are equal. 8. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. 9. The angle between the tangent at any point of a circle and a chord through that point is equal to... | |
| Cowley Oxon, dioc. school - 1860 - 318 pages
...which does not pass through the centre it shall cut it at right angles. 10. The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. II. Describe an isosceles triangle having each angle at the base double the third angle. 12. If two... | |
| University of St. Andrews - 1901 - 712 pages
...the centre of a circle is double an angle at the circumference standing on the same arc, and deduce that the opposite angles of a quadrilateral inscribed in a circle are supplementary. Two circles ABC, ABD, with centres 0 and Q, intersect at right angles ; AC and AD are... | |
| British Columbia. Superintendent of Education - 1897 - 710 pages
...equal to when the side subtends an obtuse angle ? (b.) What is a Gnomon ? 6. The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. TRICONOMETRY. 1. (a.) The number of degrees in a certain angle added to the number of grades is 152... | |
| Wales univ, univ. coll. of Wales - 1878 - 188 pages
...that parallelograms on the same base and between the same parallels are equal to one another. 8. Prove that the opposite angles of a quadrilateral inscribed in a circle are supplementary. 9. If 0 be a point within a triangle ABC, such that the angles BOG, COA, AOB are equal,... | |
| University of St. Andrews - 1891 - 440 pages
...of a parallelogram is equal to the sum of the squares on the sides. 12. The opposite angles of every quadrilateral inscribed in a circle are together equal to two right angles. ABC is a triangle : AD, BE are perpendicular to BC, AC respectively : prove that the triangle ODE is... | |
| Saskatchewan. Department of Education - Education - 1913 - 202 pages
...rectangle is greater than the perimeter of the square. 3. (a) Prove that the opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. (6) State and prove the converse of this theorem. 4. (a) Given a straight line cutting two parallel... | |
| London univ - 1874 - 778 pages
...internally, the line joining their centres passes through the point of contact. 7. The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. 8. A segment of a circle being given, find the complete circle of which it is a segment. 9. Prove that... | |
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