| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...one another that the polygons have. 11. The rectangle contained by the diagonals of a quadrilateral **inscribed in a circle, is equal to both the rectangles contained by its opposite sides.** No. 6. 1. If from the ends of a side of a triangle, there be drawn two straight lines to a point within... | |
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