Search Images Maps Play YouTube News Gmail Drive More »
 Books Books
The rectangle contained by the diagonals of a quadrilateral ,figure inscribed in a circle, is equal to both the rectangles contained by i'ts opposite sides.
Cambridge Problems: Being a Collection of the Printed Questions Proposed to ... - Page 112
1821 - 425 pages

## Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 pages
...circle in D, and if 0 be the centre of the circle inscribed in the triangle ABC, prove BD=DC = DO. 11. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. If the diagonals of a quadrilateral inscribed in a circle intersect at right angles, show that the...

## Dublin examination papers

Dublin city, univ - 1871 - 366 pages
...seeks its subjects in the past. JUNIOR FRESHMEN. glaibtmatirs. DR. STUBBS. 1 . The rectangle under the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles under the opposite sides~: 2. Find two lines which shall be to each other...

## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...to the rectangle EA, AD (VI. 16). If therefore from any angle, &c. QED PROPOSITION D. — Theorem. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. Let ABCD be any quadrilateral figure inscribed in a circle, and Then the rectangle contained by AC,...

## Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...AC) = rectangle (AH, AR). THEOREM (h). The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to both the rectangles contained by the opposite sides. Let FGHK be a quadrilateral figure inscribed in the a FGHK, and FH, GK its diagonals....

## the queens university calander

alexander thom - 1875 - 756 pages
...the equal angles were reciprocally proportional I Prove the propositions referred to. 4. Prove that the rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by the opposite sides. Hence calculate the side of a regular quindecagon...

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

Robert Potts - Geometry, Plane - 1876 - 446 pages
...equal to the rectangle EA, AD. (VI. 16.) If therefore from any angle, &c. QED PROPOSITION D. THEOREM. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. Let ^ .BCD be any quadrilateral figure inscribed in a circle, and join^C, BD. The rectangle contained...

## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...the triangle. . . . . . . . . . . 240 D. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides. . , 240 E. If a segment of a circle be bisected, and from the extremities of the base of the segment,...

## Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...parallel to BD, then it may be readily proved that AB is divided as required in the points b, b', &c. 7. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. Euclid, Book VI., Prop. D. 8. Define the tangent of an angle, find the value of tan60°, and prove...