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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

## Annual Calendar of McGill College and University

McGill University - 1883 - 404 pages
...(a). Describe a circle which shall touch one side of a triangle and the two other sides produced. .10. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by its opposite sides. 1 1. Find the areas of the square and regular...

## Examinations Papers

1877 - 470 pages
...may touch the other two. 4. Inscribe in a given circle a regular polygon of 3, C, 12,24, sides. 5. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. 6. Prove that the straight lines which bisect the angles of a triangle meet at the same point. 7. From...

## Parliamentary Papers, Volume 42

Great Britain. Parliament. House of Commons - Bills, Legislative - 1864 - 700 pages
...diagonals be drawn, that the angles ABE, EC A, CDB, DEC, EAD are together equal to two right angles. 11. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. 12. If two straight lines be cut by parallel planes, they will be cut in the same ratio. . June 1864....

## Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...bases. 13. Similar triangles are to one another in the duplicate ratio of their homologous sides. 14. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. '*•' GEOGRAPHY PAPER. EXAMINER :— REV. T. FOWLER, MA, Sub-Rector, Tutor, and Librarian, Lincoln...

## Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 18

1874 - 750 pages
...sides BA, CA produced through A in the points D, E respectively, prove that BD : DA : : CE : EA. 10. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by its opposite sides. ALGEBRA. Time allowed, 3 hours. 1. Prove...

## Calendar

University of St. Andrews - 1900 - 670 pages
...the angles subtended by the arcs AC, BD at the centre of the circle are together double of AOC. 10. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by its opposite sides. If BA', CA' are drawn perpendicular to the...

## Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1851 - 1054 pages
...tionals. 2. Similar triangles are to one another in the duplicate ratio of their homologous sides. 3- The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by its opposite sides. Section 4. 1. Given the base, the vertical...