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. Calendar - Pàgina 327per University of St. Andrews - 1900Visualització completa - Sobre aquest llibre
| 1804 - 476 pàgines
...cos.]2 of half the angle subtended by any side. Mr. J. Brown. — For the Fifth and Sixth Classes. 1. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle, is equal to both the rectangles contained by its opposite sides. 2. In the collision of two perfectly elastic bodies,... | |
| John Bonnycastle - 1806 - 464 pàgines
...proved, for the first time that we know of, that the rectangle of the two diagonals of any quadrilateral inscribed in a circle, is equal to the sum of the rectangles of its opposite sides (c). After the time of Ptolemy and his commentator Theon, little more is known... | |
| 1821 - 464 pàgines
...(cos.)2 of half the angle subtended by any side. Mr. J. BROWN. FOR" THE FIFTH AND SIXTH CLASSES. 1. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle, is equal to both the rectangles contained by its opposite sides. 2. In the collision of two perfectly elastic bodies,... | |
| John Martin Frederick Wright - 1825 - 798 pàgines
...base, the vertical angle, and the sum of the two remaining sides of a triangle ; to construct it. 19. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal to both the rectangles contained by its opposite sides. GEOMETRY. 1. How many sides has that polygon whose... | |
| John Martin Frederick Wright - 1827 - 358 pàgines
...which is compounded of the ratios of their sides. 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a circle is equal...of the rectangles contained by its opposite sides. 4. If the exterior angle of a triangle be bisected, and also one of the interior and opposite, the... | |
| John Martin F. Wright - 1827 - 632 pàgines
...which is compounded of the ratios of their sides. 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a circle is equal...of the rectangles contained by its opposite sides. 4. If the exterior angle of a triangle be bisected, and also one of the interior and opposite, the... | |
| Robert Simson - 1827 - 546 pàgines
...BA, AC is equal* to the rectangle EA, AD. If therefore from an angle, &c. QED PROP. D. THEOR. See N. The rectangle contained by the diagonals of a quadrilateral ^figure inscribed in a circle, is equal to both the rectangles contained by its opposite sides. Let ABCD be any quadrilateral figure inscribed... | |
| John Playfair - 1829 - 210 pàgines
...angles at the centres are to one another as the circumferences of the circles. The rectangle under the diagonals of a quadrilateral figure inscribed in a circle is equal to both the rectangles under its two opposite sides. The homologous sides, and also the perimeters of... | |
| Andrew Bell - 1837 - 290 pàgines
...also perpendicular to them. 2. Parallel chords in a circle intercept equal arcs. 3. The exterior angle of a quadrilateral figure inscribed in a circle, is equal to the interior and opposite. 5. If a tangent to a circle be parallel to a chord, the point of contact bisects... | |
| Euclides - 1845 - 546 pàgines
...equal to the rectangle EA, AD. (vi. 16.) If therefore from an angle, &c. QED PROPOSITION D. THEOREM. 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. Let ABCD be any quadrilateral figure inscribed... | |
| |