| John Playfair - Circle-squaring - 1819 - 333 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 - 465 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 - 372 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 - 513 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... | |
| Science - 1828
...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 - Mathematics - 1829 - 186 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
...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
...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 - 316 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, Robert Simson - Geometry - 1835 - 513 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,... | |
| |