 | Alfred Baker - 1903 - 144 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
...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 - 456 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
...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
...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 - 110 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
...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... | |
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The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse. 
