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The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Pure Mathematics - Page 273
1874

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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,...

## Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

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....

## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

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,...

## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

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...

## Philosophical Magazine

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...

## Elements of geometry: Being chiefly a selection from Playfair's geometry

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...

## Register

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...

## The Elements of Euclid; viz. the first six books, together with the eleventh ...

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...