 | George Roberts Perkins - 1847 - 326 σελίδες
...quadrant, which is the measure of a right angle (B. Ill, Prop, vii, Cor. 2)Cor. 4. The sum of any two opposite angles of a quadrilateral inscribed in a circle, is equal to two right angles ; for, as each inscribed angle is measured by half the arc on which it stands, it... | |
 | George Roberts Perkins - 1850 - 332 σελίδες
...quadrant, which is the measure of a right-angle, (B. Ill, Prop, vi, Cor. 2.) Cor. 4. The sum of any two opposite angles of a quadrilateral inscribed in a circle, is equal to two rightangles ; for, as each inscribed angle is measured by half the arc which subtends it, it follows... | |
 | James Booth - 1873 - 426 σελίδες
...0 , OD 0 become parallel to a, b, c, d, the sides of the inscribed figure. Hence we may infer that the sum of the opposite angles of a quadrilateral inscribed in a circle is equal to two right angles. Fig. 76. \» C« Do Bo 312.] Let <f> be the angle between a pair of tangents to a... | |
 | William Alexander Willock - 1875 - 196 σελίδες
...centre — acute, obtuse, two right angles or re-entrant, as has been proved in the last theorem. 14. The sum of the Opposite Angles of a Quadrilateral inscribed in a circle is two right angles. Let ABCD be the quadrilateral in the circle R; and suppose the centre R joined with... | |
 | Dublin city, univ - 1876 - 420 σελίδες
...sides. Trisect an angle of 45o. 2. Construct a square equal to a given rectilinear figure. 3. Prove that the sum of the opposite angles of a quadrilateral inscribed in a circle is equal to two right angles. The sum of the opposite arcs of a circle intercepted by two chorda cutting at right... | |
 | 1883 - 248 σελίδες
...the angle BAC bisects also the corresponding arc of the circle. 8. Prove that the sum of a pair of opposite angles of a quadrilateral inscribed in a circle, is equal to two right angles. 9. Construct an isosceles triangle having each of its base angles double the vertical... | |
 | 1882 - 376 σελίδες
...the angle BAG bisects also the corresponding arc of the circle. 8. Prove that the sum of a pair of opposite angles of a quadrilateral inscribed in a circle is equal to two right angles. 9. Construct an isosceles triangle having each of its base angles double the vertical... | |
 | William John M'Clelland - 1885 - 182 σελίδες
...(3) . If two angles of a triangle are equal, the triangle is isosceles. (4). The sum of one pair of opposite angles of a quadrilateral inscribed in a circle is equal to the sum of the remaining pair. For, join the pole of the circle to the angles of the quadrilateral... | |
 | Royal Military College, Sandhurst - 1890 - 144 σελίδες
...obtuse-angled triangle over the sum of the squares on the other sides. 3. Prove that the sum of either pair of opposite angles of a quadrilateral inscribed in a circle is equal to two right angles. Two circles intersect in the points P and Q. A straight line MPN is drawn, terminated... | |
 | 1891 - 718 σελίδες
...internally or externally at a point, then that point and the two centres lie in one straight line. 9. The sum of the opposite angles of a quadrilateral inscribed in a circle is two right angles. ENGLISH. The Board of Examiners. 1. Write an Essay on Eight Hours Day. (The Essay... | |
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The sum of two opposite angles of a quadrilateral inscribed in a circle is equal to the sum of the other two angles, and is equal to two right angles. 
