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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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## a gemoetry for schools

...the angle at the circumference (on the same arc). 4. The angle in a semicircle is a right angle. 5. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. 6. If the opposite angles of a quadrilateral make up two right angles, a circle can be described about...
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## A Course of Pure Geometry

...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...
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## Geometry for Young Beginners

...a segment. 2. The angles in a segment are equal. 3. The angle in a semicircle is a right angle. 4. The opposite angles of a quadrilateral inscribed in...a circle are together equal to two right angles*. * This can be seen from the figure 60, and is proved more fully in Section 13. 5. If the opposite angles...
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## Annual Calendar of McGill College and University, Montreal

McGill University - 1868
...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....
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## A Course of Pure Geometry

...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...
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## Calendar

...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...
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## The calendar of the University college of Wales

...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,...
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## Calendar

...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...
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## A Shorter Geometry

...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...
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## Report of the examination held (Dec. 1859)-73

...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...
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