Books Books
Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides.
Science Examination Papers - Page 248
by Great Britain. Education Department. Department of Science and Art - 1899

## Calendar, for the Year ...

1896 - 154 pages
...pair of opposite sides is equal to the rectangle contained by the perpendiculars on the diagonals. 3. The rectangle contained by the diagonals of a quadrilateral...equal to the sum of the two rectangles contained by the opposite sides. In a quadrilateral inscribed in a circle, the rectangle contained by the sides...

## Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 564 pages
...equal to the sum of the other two sides (§ 1 76). 220. Exercise. — The sum of two opposite angles of a quadrilateral inscribed in a circle is equal to the sum of the other two angles, and is equal to two right angles. 230. Exercise. — Two circles are tangent externally...

## Elements of Geometry, Volume 1

Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...equal to the sum of the other two sides (§ 176). • 220. Exercise. — The sum of two opposite angles of a quadrilateral inscribed in a circle is equal to the sum of the other two angles, and is equal to two right angles. 230. Exercise. — Two circles are tangent externally...

## The Collected Mathematical Papers of Arthur Cayley, Volume 11

Arthur Cayley - Mathematics - 1896 - 663 pages
...the subject he gives there the theorem afterwards inserted in Euclid (Book VI. Prop. D) relating to the rectangle contained by the diagonals of a quadrilateral inscribed in a circle. The Arabians made the improvement of using in place of the chord of an arc the sine, or half chord,...

## The Collected Mathematical Papers of Arthur Cayley, Volume 11

Arthur Cayley - Mathematics - 1896 - 676 pages
...the subject he gives there the theorem afterwards inserted in Euclid (Book VI. Prop. D) relating to the rectangle contained by the diagonals of a quadrilateral inscribed in a circle. The Arabians made the improvement of using in place of the chord of an arc the sine, or half chord,...

## Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 pages
...at the point of tangeiicy passes through the center of the circle. 3. The sum of two opposite angles of a quadrilateral inscribed in a circle is equal to the sum of the other two angles, and is equal to two right angles. 4. Construct with ruler and compass a circle passing...

## Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 pages
...at the point of tangency passes through the center of the circle. 3. The sum of two opposite angles of a quadrilateral inscribed in a circle is equal to the sum of the other two angles, and is equal to two right angles. 4. Construct with ruler and compass a circle passing...

## Plane Geometry

Edward Brooks - 1901 - 278 pages
...+ AD\ And ^D^=ABxAC-BDx CD. Therefore, etc. PROPOSITION XXXVI. — THEOREM. The product of the two diagonals of a quadrilateral inscribed in a circle is equal to the sum of the products of its opposite sides. Given. — Let ABCD be any quadrilateral inscribed in a circle, AC...