 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 - Pagina 327door University of St. Andrews - 1900Volledige weergave - Over dit boek
 | 1804 - 476 pagina’s
...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 pagina’s
...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 pagina’s
...(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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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... | |
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