| 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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