 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
 | Peter Nicholson - Mathematics - 1825 - 372 pages
...AC is equal (16. 6.) to the rectangle EA, AD. I f therefore from an angle, &c. QED PROB. D. THEOREM. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides. Let ABCD be any quadrilateral inicribed in a circle,... | |
 | Charles Hutton - Logarithms - 1834 - 368 pages
...and of the chord of its supplement to a semicircle. 2. The rectangle under the two diagonals of any quadrilateral inscribed in a circle, is equal to the sum of the two rectangles under the opposite sides. 3. The sum of the squares of the sine and cosine (often called the sine of... | |
 | John Playfair - Euclid's Elements - 1835 - 316 pages
...: and consequently the rectangle BA.AC is equal (16. 6.) to the rectangle EA.AD. x, PROP. D. THEOR. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal tf both the rectangles, contained by its opposite sides. Let ABCD be any quadrilateral inscribed in... | |
 | John Playfair - Geometry - 1836 - 114 pages
...have the same ratio to one another as the circumferences on which they stand. PROP. XXVIII. THEOR. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a circle,... | |
 | Mathematics - 1836 - 472 pages
...rectangle contained by the perpendicular, and the diameter of the circle described about the triangle. D. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles, contained by its opposite sides. E. If an arch of a circle be bisected, and from... | |
 | Euclid - Geometry - 1837 - 410 pages
...BA.AC is equal to the rectangle EA.AD. If, therefore, from an angle of a triangle, &c. PROP. E. THEOR. THE rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides. Let ABCD be a quadrilateral inscribed in a circle,... | |
 | John Playfair - Geometry - 1837 - 332 pages
...rectangle BA.AC is equal (16. 6.) to the rectangle EA.AD. 15Q c. I" ELEMENTS * ^ ,,' PROP. D. THEOR. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to loth the rectangles, contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a... | |
 | Andrew Bell - Euclid's Elements - 1837 - 240 pages
...consequently the rectangle BA • AC is equal to the rectangle EA • AD (VI. 16). PROPOSITION D. THEOREM. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a circle,... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...is equal (16. 6.) to the rectangle EA, AD. If, therefore, from an angle, &c. Ci. ED PROP. D. THEOR. THE rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides.* Let ABCD be any quadrilateral inscribed in a... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...AC : and consequently the rectangle BA.AC is equal (16. 6.) to the rectangle EA.AD. PROP. D. THEOR. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles, contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a... | |
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