| Alfred Baker - 1903 - 154 páginas
...make up four right angles. Hence the angles ABC, ADC are together equal to two right angles. Hence the opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles. Using the protractor, construct a quadrilateral with two of its opposite angles together equal to two... | |
| 1903 - 188 páginas
...part may be equal to the square on the other part. (/i) Shew that the opposite angles of any convex quadrilateral inscribed in a circle are together equal to two right angles. (c) Shew that parallelograms which are equiangular to one another have to one another the ratio which... | |
| Euclid - 1904 - 488 páginas
...an arc of a circle of which the chord is BC. QED PROPOSITION 22. THEOREM. The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. B Let ABCD be a quadrilateral inscribed in the 0 ABC. Then shall (i) the L." ADC, ABC together = two... | |
| Ontario. Legislative Assembly - 1905 - 1096 páginas
...circumference on the same arc. The angles in the same segment of a circle are equal, with converse. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse. The angle in a semicircle is a right angle ; in a segment greater than a semicircle... | |
| Queen's University (Kingston, Ont.) - 1906 - 314 páginas
...circumference on the same arc. The angles in the same segment of a circle are equal, with converse. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse. The angle in a semicircle is a right angle ; in a segment greater than a semicircle... | |
| Lawrence Robert Dicksee - 1907 - 128 páginas
...sides and the projection of the other side upon it. Q. 8. — Prove that the opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. Show that, if ABC be a triangle and BP, CP be drawn perpendicular to AB and AC respectively to meet... | |
| Henry Sinclair Hall - 1908 - 286 páginas
...less than the 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... | |
| Civil Service Commission of Canada - 1910 - 240 páginas
...circumference again in D and C; prove that the arc DC is equal to the arc AB. 5. The opposite angles of any quadrilateral inscribed in a circle are together equal to two right angles. What is the converse of this proposition? Is the converse true? 6. If the line joining two points on... | |
| University of Calcutta - 1910 - 684 páginas
...contained by the whole line and one of th<> parts' may be equal to the square on the other part. 6. Prove that the opposite angles of a quadrilateral inscribed...in a circle are together equal to two right angles. Hence shew that if one of the sides of u quadrilateral inscribed in 3 a circle be produced the exterior... | |
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