 | University of St. Andrews - 1891 - 440 páginas
...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... | |
 | Wales univ, univ. coll. of Wales - 1878 - 188 páginas
...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 - 1901 - 712 páginas
...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... | |
 | 464 páginas
...its angular points, and measure the length of its radius. 7. Prove that the opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. ABCD is a parallelogram and the circle described about the triangle ABC cuts CD, or CD produced, in... | |
 | Cowley Oxon, dioc. school - 1860 - 318 páginas
...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... | |
 | British Columbia. Superintendent of Education - 1897 - 710 páginas
...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... | |
 | London univ - 1874 - 778 páginas
...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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The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse. 
