 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...on half the base and on the straight line joining its point of bisection to the vertex. 3. Show that the opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. Also show that the sum of one pair of opposite sides of any quadrilateral described about a circle... | |
 | 1891 - 718 pages
...Class I will omit the 1st and 5th of tJte foregoing Questions, and work the following instead : a. The opposite angles of any quadrilateral figure, inscribed...in a circle are together equal to two right angles. b. Inscribe a circle in a given triangle. 1. F. & II. M. ALGEBRA. Time, 1 hour, 30 min Exhibit the... | |
 | 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... | |
 | Canada - 1899 - 1072 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... | |
 | 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. 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... | |
 | 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. 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... | |
 | 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... | |
 | Charles E. Larard, Henry A. Golding - Engineering - 1909 - 556 pages
...point on the circumference, at P = at 0. FIG. 5. Fio. 6. The two opposite angles of any four-sided figure inscribed in a circle are together equal to two right angles. Thua, ^A + ^C=180°, and ^B + ^D = 1 80° (fig. 6). The angle in a semicircle is a right angle. For... | |
| |
The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
