 | Euclid - Geometry - 1892 - 460 pages
...vertical angles is an arc of a circle. PROPOSITION 22. THEOREM. The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. Let ABCD be a quadrilateral inscribed in the ijABC; then shall, (i) the L. s ADC, ABC together = two rt. angles ; (ii) the L '... | |
 | Canada - 1899 - 1074 pages
...that the two diagonals of any quadrilateral is less than the perimeter and greater than J of it. 6. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 7. To draw a tangent to a circle at a given point of its circumference. 15 14 14 15 No. of Marks. 14... | |
 | 1899 - 166 pages
...section. Given the sum of two straight lines find when the sum of the squares on them is least. 2. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Conversely, if the opposite angles of any quadrilateral be together equal to two right angles, a circle... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...squares on the medians of a triangle is •equal to three times the sum of the squares on its sides. 7. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles: The four bisectors of the interior angles of any quadrilateral form a quadrilateral which can be inscribed... | |
 | Great Britain. Board of Education - Boys - 1900 - 566 pages
...intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 5. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Two circles intersect in points P and Q. A straight line JffPN is drawn terminated by the circles at... | |
 | Great Britain. Board of Education - Education - 1900 - 906 pages
...that the difference of the squares on AD and . AC is equal to the rectangle contained by BD and CD. 5. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Two circles intersect in points P and Q. A straight line MPN is drawn terminated by the circles at... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...that the difference of the squares on AD and AC is eqiial to the rectangle contained by ED and CD. 5. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Two circles intersect in points P and Q. A straight line MPN is drawn terminated hv the circles at... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...vertical angles is an arc of a circle. PKOPOSITION 22. THEOREM. The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. Let ABCD be a quadrilateral inscribed in the 0 ABC. Then shall (i) the L? ADC, ABC together = two rt. angles ; (ii) the L' BAD,... | |
 | 1905 - 614 pages
...circumference of a circle cannot cut that of another circle iu more than two points. 4. Prove that the opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 5. Inscribe a circle iu a given triangle. SECTION B. 6. Through a given point draw a line such that... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...angle BAC by a right angle. THEOREM 40. [Euclid III. 22.] The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. Let ABCD be a quadrilateral inscribed in the OABC. It is required to prove that (i) the /." ADC, ABC together = two rt. angles.... | |
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The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
