| Great Britain. Education Department. Department of Science and Art - 1886 - 640 pàgines
...equal circles the arcs which subtend equal angles, whether at the centre or circumference, are equal. ABCD is a quadrilateral inscribed in a circle whose centre is O ; if the angles BAD and BOD are together equal to two right angles, show that the arc BAD is double... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pàgines
...whose circumferences pass through a given point, have a common chord of intersection. Ex. 661. — ABCD is a quadrilateral inscribed in a circle whose centre is O : if the angles BAD, BOD are supplementary, show that the arc BAD is double the arc BCD. Ex. 662. —... | |
| Charles Godfrey, Arthur Warry Siddons - 1912 - 190 pàgines
...intersection of internal diagonals of this quadrilateral is a straight line, and find its position. Ex. 591. ABCD is a quadrilateral inscribed in a circle whose centre is O; AB, CD intersect in E; AD, BC intersect in F; AC, BD intersect in G. Prove that OG is perpendicular... | |
| Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 202 pàgines
...to the plane HVQ, prove that the square on TGI is then equal to the sum of the squares on HT, HQ. 5. ABCD is a quadrilateral inscribed in a circle whose centre is O, and E, F are the middle points of BC, CD. Prove that L EOF is either equal or supplementary to L BAD. 6.... | |
| 480 pàgines
...to the plane HVQ, prove that the square on TQ is then equal to the sum of the squares on HT, Hft. 6. ABCD is a quadrilateral inscribed in a circle whose centre is O, and E, F are the middle points of BC, CD. Prove that / EOF is either equal or supplementary to L BAD. 6.... | |
| Ray C. Jurgensen, Alfred J. Donnelly, Mary P. Dolciani - 1963 - 198 pàgines
...intersection of internal diagonals of this quadrilateral is a straight line, and find its position. Ex. S9l. ABCD is a quadrilateral inscribed in a circle whose centre is O; AB, CD intersect in E; AD, BC intersect in F; AC, BD intersect in G. Prove that OG is perpendicular... | |
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