| 1899
...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
...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, Sir Michael Sadler, C. C. Cotterill - Boys - 1900 - 531 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... | |
| Education - 1900
...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
...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... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Geometry - 1900 - 304 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,... | |
| Ireland. National Education Bd, New York (State), Bank Commissioners - 1905
...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 - Geometry - 1908 - 138 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.... | |
| Education - 1906
...draw a straight line OPQ to cut the circle at two points P and Q, so that OP shall be equal to PQ11. **The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** 12. If I be the center of the circle inscribed in the triangle ABC, prove that the centers of the three... | |
| 1874
...achromatism, in general, impossible. PURE MATHEMATICS. Thursday, 12th June 1873. 10 AM to 1 PM 1. Prove that **the opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles.** Prove also that if a circle can be inscribed in a quadrilateral figure, the sums of the opposite sides... | |
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