 | Euclides - 1860 - 288 pages
...AD (VI. 16). I'JtorOSITJON D. THEOBEM. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides. Given any quadrilateral ABCD inscribed in a circle, and join AC and BD ; to prove that the rectangle... | |
 | Euclides - 1861 - 464 pages
...vertex C to the base, AE, of the other : ie BA . AC : EC . CA = AD : perp. from C. PROP. D. — THEOR. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. Cow. 23, 1. DEM. 21, Ш. 4, VI. 16, VI. 1, II. If there be two st. lines, one of which is divided into... | |
 | War office - 1861 - 714 pages
...touch the circle. VOLUNTARY PORTION. 1. The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to both the rectangles contained by its opposite sides. 2. If two straight lines are at right angles to the same plane they shall be parallel to each other. 3.... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...equilateral triangle, and compare the area of the hexagon so inscribed with the area of the triangle. a quadrilateral figure inscribed in a circle is equal...both the rectangles contained by its opposite sides. If the diagonals of the quadrilateral intersect at right angles, show that the sum of the squares of... | |
 | Euclides - 1864 - 448 pages
...(vI. 1 6.) If therefore from. any angle, &c. QED PROPOSITION D. THEOREM. The rectangle contained bg the diagonals of a quadrilateral figure inscribed...circle, is equal to both the rectangles contained bg its opposite sides. Let ABCD be any quadrilateral figure inscribed in a circle, and join AC, BD.... | |
 | Euclides - 1865 - 402 pages
...equal to the rectangle EA, AD. (vi. 16.) If, therefore, from any angle, &c. QED PROP. D.— THEOKEM. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. (References— Prop. i. 23 ; n. 1; III. 21 ; VL 4, 16.) Let ABCD be any quadrilateral figure inscribed... | |
 | Robert Potts - 1865 - 528 pages
...equal to the rectangle EA, AD. (vi. 16.) If therefore, from any angle, &c. QED PROPOSITION D. THEOREM. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. Let A BCD be any quadrilateral figure inscribed in a circle, and join AC, BD. The rectangle contained... | |
 | John Playfair - Geometry - 1855 - 358 pages
...to <be rectangle EA.AD. PROP. D. THEOR. The Ttttangl*. contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles, contained by ut opposite sides, I >et ABCD bo any quadrilateral inscribed in a circle, and let AC, BD be drawn ;... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...rectangle EA, AD. ' [VI. 16. Wherefore, if from the vertical angle &c. QED PROPOSITION 2). THEOREM. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. Let ABCD be any quadrilateral figure inscribed in a circle, and join AC, BD: the rectangle contained... | |
 | Robert Potts - 1868 - 434 pages
...equal to the rectangle EA, AD. (vI. 16.) If therefore from any angle, &c. QED PROPOSITION D. THEOREM. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. Let AB CD be any quadrilateral figure inscribed in a circle, and join^C, BD. The rectangle contained... | |
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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. 
