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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

## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...the two parts, together with twice the rectangle contained by the parts. 4. The opposite angles of a quadrilateral figure inscribed in a circle, are together equal to two right angles. 5. In a circle, the angle in a semicircle is a right angle, the angle in a segment greater than a semicircle...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...to the whole angle BED. (ax. 2.) Wherefore the angles in the same segment, &c. QED PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral...two right angles, Let ABCD be a quadrilateral figure in the circle AB CD. Then any two of its opposite angles shall together be equal to two right angles....

## Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pages
...parallelogram equal to a given rectilineal figure and having an angle equal to a given rectilineal angle. 2. The opposite angles of any quadrilateral figure inscribed...in a circle are together equal to two right angles. VOLUNTARY PORTION. 1. If two parallel planes be cut by another plane, their common sections with it...

## Guide to the army - competitive examinations

...of balls in an incomplete pile of 20 courses, with 44 balls in each side of the base. 5. Prove that the opposite angles of any quadrilateral figure inscribed...a circle, are together equal to two right angles. If AB, CD be the opposite sides of a quadrilateral circumscribing a circle whose centre is E, prove...

## Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...from the opposite angle. Prove this only when the triangle has an obtuse angle. 3. The opposite angle of any quadrilateral figure inscribed in a circle, are together equal to two right angles. 4. Triangles and parallelograms of the same altitude are to one another as their bases. 5. If two parallel...

## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...to the whole angle BED. (ax. 2.) Conclusion. — Therefore, the angles in the same segment, &c. QED PROPOSITION 22.— THEOREM. The opposite angles of...a circle, are together equal to two right angles. (References— Prop. 1. 32; III. 21.) Hypothesis. — Let ABCD be a quadrilateral figure inscribed...

## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Robert Potts - 1864
...the whole angle BET), (ax. 2.) Wherefore the angles in the same segment, &c. QED PROPOSITION XXII. THEOREM. The opposite angles of any quadrilateral...two right angles, Let ABCD be a quadrilateral figure in the circle ABCD. Then any two of its opposite angles shall together be equal to two right angles....

## The college Euclid: comprising the first six and the parts of the eleventh ...

...to the whole angle BED. (ax. 2.) Wherefore, the angles in the same segment, &c. QED PROP. XXII.— THEOREM. The opposite angles of any quadrilateral...a circle, are together equal to two right angles. (References — Prop. I. 32; in. 21.) Let ABCD be a quadrilateral figure in the circle ABCD. Then any...