| Euclid - Euclid's Elements - 1904 - 488 pages
....-. BA : AD :: EA : AC; VI. 4. .-. the rect. BA, AC = the rect. EA, AD. VI. 16. QED PROPOSITION D. **THEOREM. The rectangle contained by the diagonals...quadrilateral inscribed in a circle is equal to the sum of the** two rectangles contained by its opposite sides. Let ABCD be a quadrilateral inscribed in a circle,... | |
| Queen's University (Kingston, Ont.) - 1906 - 314 pages
...rectangle contained by the perpendicular and the diameter of the circle described about the triangle. **The rectangle contained by the diagonals of a. quadrilateral inscribed in a circle is equal to the sum of the** two rectangles contained by its opposite sides. Two similar polygons may be so placed that the lines... | |
| Euclid - Mathematics, Greek - 1908 - 456 pages
...rav (v ru> KVK\.W The theorem may be enunciated thus. The rectangle contained by the diagonals of any **quadrilateral inscribed in a circle is equal to the sum of the rectangles contained by** the pairs of opposite sides. I shall give the proof in Ptolemy's words, with the addition only, in... | |
| Civil Service Commission of Canada - Civil service - 1910 - 240 pages
...stand. 3. Similar triangles are to one another in the duplicate ratio of their homologous sides. 4. **The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the** two rectangles contained by its opposite sides. 5. The locus of a point, the ratio of whose distances... | |
| McGill University - 1883 - 404 pages
...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 hexagon inscribed in a circle of 2 inches radius. 12.... | |
| Education - 1911 - 1334 pages
...externally into segments which have the same ratio as the other sides of the triangle. Euclid, VI. 3rd. 2. **The rectangle contained by the diagonals of a quadrilateral...inscribed in a circle, is equal to the sum of the** two rectangles contained by its opposite sides. 3. In a convex solid angle, the sum of the face angles... | |
| Ontario. Dept. of Education - 1913 - 128 pages
...rectangle contained by the perpendicular and the diameter of the circle described about the triangle. **The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the** two rectangles contained by its opposite sides. Two similar polygons may be so placed that the lines... | |
| Ontario. Legislative Assembly - Ontario - 1914 - 996 pages
...rectangle contained by the perpendicular and the diameter of the circle described about the triangle. **The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the** two rectangles contained by its opposite sides. Two similar polygons may be so placed that the lines... | |
| Queensland. Department of Public Instruction - Education - 1916 - 244 pages
...exterior to the circumference. For Admission as Teacher of the Second Class. (THREE HOURS ALLOWED.) 1. **The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the** two rectangles contained by its opposite sides. 2. Areas of triangles of equal altitude are to one... | |
| Alexander H. McDougall - Geometry - 1919 - 232 pages
...= AD (AD + DE) = AD2 + AD. DE = AD2+ BD. DC. Л rect. BA . AC = rect. BD . DC + AD5. 15. Ptolemy's **Theorem :— The rectangle contained by the diagonals...of the rectangles contained by its opposite sides.** This theorem is a particular case ofthat o/§ 16. ABCD is a quadrilateral inscribed in a circle. To... | |
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