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 ## 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... ## A Short History of Greek Mathematics

James Gow - Mathematics - 1884 - 380 pages
...now appended to Euclid vi. (D), that " the rectangle contained by the diagoaals of a quadrilateral inscribed in a circle is equal to both the rectangles contained by its opposite sides'", and then proceeds to shew how from the chords of two arcs that of their sum and difference and how... 