 | John Playfair - Circle-squaring - 1819 - 350 pages
...&c. QED PROP. XXII. THEOR. The opposite angles of any quadrilateral figure described in a circle, ate together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to two right angles. Join AC,... | |
 | Sir John Leslie - Geometry, Plane - 1820 - 482 pages
...visual magnitude. PROP. XVII. THEOR. The opposite angles of a quadrilateral figure contained within a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure inscribed in a circle -, the angles A and C are together equal 'to two right angles, and so are those at B and D.... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...Proposition XXII. Theorem. The opposite angles of any quadrilateral figure described in a circle, we together equal to two right angles. Let ABCD be a quadrilateral figure in die circle ABCD ; any tw» of its opposite angles are together equal to two right angles. Join AC,... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...t2Ax. to the whole angle BED. Wherefore the angles in the same segment, &c. QED PROP. XXII. THEOR. The opposite angles of any quadrilateral .figure inscribed...a circle, are together equal to two right angles. 1 20. 3. Let ABCD be a quadrilateral figure in the circle ABCD; any two of its opposite angles shall... | |
 | Physics - 1828 - 524 pages
...the solidity. 10 70. Parallelograms upon equal bases and between the same parallels are equal. 80. The opposite angles of any quadrilateral figure, inscribed...a circle, are together equal to two right angles. 81. If two triangles have one angle in one equal to one angle in the other, and the sides about the... | |
 | John Playfair - Geometry - 1829 - 210 pages
...THEOREM. The two opposite angles of any quadrilateral figure described in a circle, or in a segment of a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure described in the circle, or segment, ABC D ; any two of its opposite angles ABU, ADC are together equal... | |
 | University of Cambridge - 1831 - 552 pages
...Caius. FRIDAY MORNING, January 14, 1831. 9 o'clock, to 11. First, Second, Third and Fourth Classes. 1. THE opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 2. Describe an equilateral and equiangular pentagon about a given circle. 3. What sum must be paid... | |
 | Euclides - 1834 - 518 pages
...segment, &c. '.>• /:. /.. PROPOSITION XXII. THEOR. — The opposite angles of any quadrilateral Jigure inscribed in a circle, are together equal to two right angles. Let ABCD be a quadraliteral figure in the circle ABCD : any two of its opposite angles shall together be equal to... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...CAD, CED are equal ; Therefore the whole angle BAD is equal to the whole angle BED. PROP. XXII. THEOR. The opposite angles of any quadrilateral figure inscribed...two right angles. Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to two right angles. Join AC,... | |
 | Euclid - 1835 - 540 pages
...same segment," &c. QED PROP. XXII. THEOR. The opposite angles of any quadrilateral figure described in a circle, are together equal to two right angles. Let ABCD be a quadrilateral figure in the circle ABCD; any two of its opposite angles are together equal to two right angles. Join AC,... | |
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The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
