Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides. Science Examination Papers - Page 248by Great Britain. Education Department. Department of Science and Art - 1899Full view - About this book
| Ontario. Legislative Assembly - Ontario - 1905 - 1096 pages
...described about the triangle. The rectangle contained by the diagonals of a quadrilateral inscribed ii **a circle is equal to the sum of the two rectangles contained by its** opposM sides. Two similar polygons may be so placed that the lines joining correi ponding points are... | |
| 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...the two rectangles contained by its opposite sides.** Two similar polygons may be so placed that the lines joining corresponding points are concurrent..... | |
| 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... | |
| Civil Service Commission of Canada - Civil service - 1910 - 238 pages
...segments. Find a square whose area is equal to that of a given triangle. 10. The rectangle contained hy **the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the** rectangles contained by the opposite sides. By taking the diagonals perpendicular to each other, deduce... | |
| Education - 1911 - 1330 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...the two rectangles contained by its opposite sides.** 3. In a convex solid angle, the sum of the face angles is less than four right angles. 4. Draw an isoseceles... | |
| 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...the two rectangles contained by its opposite sides.** Two similar polygons may be so placed that the lines joining corresponding points are concurrent. If... | |
| Ontario. Legislative Assembly - Ontario - 1914 - 998 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...the two rectangles contained by its opposite sides.** Two similar polygons may be so placed that the lines joining corresponding points are concurrent. If... | |
| 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...the two rectangles contained by its opposite sides.** 2. Areas of triangles of equal altitude are to one another as their bases. Prove by this theorem that... | |
| Alexander H. McDougall - Geometry - 1919 - 232 pages
...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 a quadrilateral inscribed in a circle is equal to the sum of the** rectangles contained by its opposite sides. This theorem is a particular case ofthat o/§ 16. ABCD... | |
| 1883 - 1060 pages
...the subject he gives there the theorem afterwards inserted in Euclid (Book VI. Prop. U.) relating to **the rectangle contained by the diagonals of a quadrilateral inscribed in a circle.** The Arabians made the improvement of using in place of the chord of an arc the sine, or half-chord... | |
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