| ...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... | |
| ...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... | |
| ...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... | |
| 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.... | |
| ...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... | |
| University of St. Andrews - 1891
...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
...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
...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... | |
| ...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
...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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