 | Mathematics - 1836 - 366 pages
...two, the plane which passes through them, is parallel to the plane passing through the others. 1831 9. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 10. Describe an equilateral and equiangular pentagon about a given circle. 11. Triangles and parallelograms... | |
 | John Playfair - Geometry - 1836 - 148 pages
...equal angles are similar. PROP. XIV. 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,... | |
 | Eugenius Nulty - Geometry - 1836 - 242 pages
...OF THE ANGLES AND SIDES OF INSCRIBED FIGURES. THEOREM I. 26. The opposite angles of a quadrilatéral inscribed in a circle, are together equal to two right angles. Let AB С D be a quadrilateral inscribed in the circle A С D ; the opposite angles AB С, AD С are together... | |
 | George Darley - Euclid's Elements - 1836 - 172 pages
...circle from any one point but the centre, ibid. ART. 69. The opposite angles of a four-sided rectilineal figure inscribed in a circle are together equal to two right angles, 53. ART. 70. The angles in the same segment of a circle are equal, 55. AIIT. 71. The angle in the segment... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...BEC, 2. that, similarly, Z CAD, =: Z CED, 3. that .'. whole Z BAD — whole Z BED. PROPOSITION XXII. Theorem. The opposite angles of any quadrilateral...in a circle are together equal to two right angles. Steps of the Demonstration. 1. Prove that whole Z ADC = Zs BAG + ACB, 2. that Zs ADC + CBA = the 3... | |
 | Charles Reiner - Geometry - 1837 - 254 pages
...intersect each other at right angles, the four straight lines joining their extremities form a square. 15. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. 16. A square,—a rectangle,—and a trapezium of which the opposite angles are together equal to two... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...whole angle BED. PROPOSITION XXII. THEOREM. 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,... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...segment, &c. * PROP. XXII. THEOR. THE opposite angles of any quadrilateral figure described in a circle, t 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,... | |
 | Euclides - 1838 - 264 pages
...equal to the whole angle BED. Therefore the angles in the same segment, &c. QE n. 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 shall together be equal to two right angles. Join... | |
 | Euclides - 1840 - 82 pages
...XXI. THEOR. All angles in the same segment of a circle are equal to one another. PROP. XXII. THEOR. The opposite angles of any quadrilateral figure inscribed...a circle, are together equal to two right angles. PROP. XXIII. THEOR. Upon the same straight line, and upon the same side of it, there cannot be two... | |
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The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 
