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" The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse. "
Proceedings of the Edinburgh Mathematical Society - Página 9
por Edinburgh Mathematical Society - 1894
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 páginas
...the squares on the diagonals of a parallelogram is equal to the sum of the squares on the sides. 11. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. 12. The straight linns bisecting the Bides of a triangle at right angles meet in a point. 13. Construct...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...the whole line and on one of the parts shall be together double of the square on the other part. 4. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. If the chords, which bisect two angles of a triangle inscribed in a circle, be equal, prove that either...
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Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 335 páginas
...triangle, and AD, BE, 5. Describe a square which shall be equal to a given rectilineal figure. 6. Prove that the opposite angles of a quadrilateral inscribed...in a circle are together equal to two right angles. A circle is cut out of a sheet of paper and a triangle inscribed in it. The segments which lie outside...
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A Synopsis of Elementary Results in Pure and Applied ..., Volumen1,Parte1

George Shoobridge Carr - 1880
...circumference on the same arc. III. 21. — Angles in the same segment of a circle are equal. III. 22. — The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. III. 31. — The angle in a semicircle is a right angle. III. 32. — The angle between a tangent and...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...radius which shall touch internally a given circle at a given point. 3. The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. If a circle be inscribed in a quadrilateral ABCD, show that the sum of the opposite sides AB and CD...
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A Treatise on Marine Surveying: Prepared for the Use of Younger Naval ...

J. L. Robinson - 1882 - 307 páginas
...angle at the centre of a circle is double the angle at the circumference standing on an equal arc. (4) The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. 48. There are three cases to be considered, viz. when the angle is right, acute, or obtuse. By Euc....
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Examinations Papers

1885
...straight lines can be drawn to the circle, that point is the centre of the circle. 8. The opposiie angles of a quadrilateral inscribed in a circle are together equal to two right angles. 9. From a point A without a circle whose centre is C a straight line ABCD is drawn cutting the circle...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...rectangle contained by the segments into which it divides the hypotenuse. 2. The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. A circle of constant magnitude passes through a fixed point A and intersects two fixed lines AB, AC...
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A Synopsis of Elementary Results in Pure Mathematics: Containing ...

George Shoobridge Carr - 1886 - 935 páginas
...circumference on the same arc. III. 21. — Angles in the same segment of a circle are equal. III. 22. — The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. III. 31. — The angle in a semicircle is a right angle. III. 32. — The angle between a tangent and...
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Calendar of Dalhousie College and University

Dalhousie University - 1886
...be equivalent to f ; but if 1 were added to the denominator, it would be, in lowest terms, |. 1 1 . The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. 12. If from the same external point a tangent and a secant to a circle be drawn, the square of the...
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