 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...three points, not in the same straight line, one circumference may be made to pass, and but one. 4. (a) Show what the sum of the opposite angles of a quadrilateral inscribed in a circle is equal to. (5) Given, two sides of a triangle and the angle opposite one of them ; construct the triangle. 5.... | |
 | Joe Garner Estill - 1896 - 214 pages
...the re-entrant angles of a pentagon in terms of the interior angles not adjacent ? — Cornell. ~2l. Show what the sum of the opposite angles of a quadrilateral...relation between the intercepted arcs ? — Dartmouth. 23. Show that two angles at the centres of unequal circles are to each other as their intercepted arcs... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...a circle is equal to the sum of the other two sides (§ 176). • 220. Exercise. — 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. 230. Exercise. — Two circles are... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...about a circle is equal to the sum of the other two sides (§ 176). . 229. Exercise. — 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. *r' 230. Exercise. — Two circles... | |
 | 1898 - 870 pages
...circle a chord having a given length and parallel to a given straight line. 8. Prove that the sum of two opposite angles of a quadrilateral inscribed in a circle is equal to two right angles. State without proof the converse of this, and apply it to show that a parallelogram... | |
 | Mathematics - 1898 - 228 pages
...tangent to a circle at the point of tangency passes through the center of the circle. 3. 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. 4. Construct with ruler and compass... | |
 | Yale University - 1898 - 212 pages
...tangent to a circle at the point of tangeiicy passes through the center of the circle. 3. 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. 4. Construct with ruler and compass... | |
 | John Perry - Mathematics - 1899 - 138 pages
...and that angles in the same segment are equal. The angle in a semicircle is a right angle. Also that the sum of the opposite angles of a quadrilateral inscribed in a circle is 1 80°. Also,- the angle between a tangent and a chord is equal to the angle in one of the segments... | |
 | 1900 - 798 pages
...circle as radius a third circle is drawn ; prove that it touches both the other circles. 8. Prove that the sum of the opposite angles of a quadrilateral inscribed in a circle is equal to two right angles. State and prove the converse of this. 9. Show how to describe on a given straight... | |
 | University of Sydney - 1906 - 738 pages
...a construction for drawing a tangent to a given circle from a given point without it. 7. Prove that the sum of the opposite angles of a quadrilateral inscribed in a circle is two right angles. H. Prove that, if two chords of a circle, neither of which passes through the centre,... | |
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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. 
