| John Playfair - Geometry - 1829 - 210 pages
...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 similar polygons inscribed... | |
| Euclid - 1835 - 540 pages
...angle," &c. QED PROP. D. THEOR. The rectangle contained by the diagonals of a See N. quadrilateral **inscribed in a circle, is equal to both the rectangles...its opposite sides. Let ABCD be any quadrilateral** inscribed in a circle, and join AC, BD ; the rectangle contained by AC, BD is equal to the two rectangles... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...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 a circle, and let AC, BD be drawn ; the rectangle AC.BD is equal to the two rectangles... | |
| John Playfair - Geometry - 1836 - 148 pages
...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...its opposite sides. Let ABCD be any quadrilateral** inscribed in a circle, and join AC, BD ; the rectangle contained by AC, BD is equal to the two rectangles... | |
| Mathematics - 1836 - 488 pages
...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 the extremities of the arch, and from the point of... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...• 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...its opposite sides. Let ABCD be any quadrilateral** inscribed in a circle, and join AC, BD ; the rectangle contained by AC, BD, is equal to the two rectangles... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...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, and join AC, BD; the rectangle AC.BD is equal to the two rectangles... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...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 circle, and let AC, BD be drawn ; the rectangle AC.BD is equal to the two rectangles... | |
| Robert Simson - Geometry - 1838 - 434 pages
...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...its opposite sides.* Let ABCD be any quadrilateral** inscribed in a circle, and join AC, BD ; the. rectangle contained by AC, BD is equal to the two rectangles... | |
| Euclides - Geometry - 1841 - 378 pages
...AC is equal* to the rectangle EA, AD. If, therefore, from an angle, &c. QED PROP. D. THEOR. lateral **inscribed in a circle, is equal to both the rectangles...its opposite sides. Let ABCD be any quadrilateral** inscribed in a circle, and join AC, BD; the rectangle contained by AC, BD shall be equal to the two... | |
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