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" ABCD is a quadrilateral inscribed in a circle whose centre is O, and E, F are the middle points of BC, CD. "
The Mathematician - Pàgina 170
1856
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Examination Papers for Science Schools and Classes

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...
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The Harpur Euclid: An Edition of Euclid's Elements

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. —...
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Modern Geometry

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...
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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

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....
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Paractical Geometry Based on the Various Geometry Books by Godfrey and Siddons

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....
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modern geometry

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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