| Mathematics - 1836 - 472 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... | |
| John Playfair - Geometry - 1836 - 114 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 contained by its opposite sides.** Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the rectangle contained by AC,... | |
| Euclid - 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... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 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 contained by its opposite sides.** Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the rectangle contained by AC,... | |
| Euclides - 1838 - 264 pages
...therefore, from an angle, &c. Q . L. n. | PROP. D. THEOR. The rectangle contained by the diagonalt **of a quadrilateral figure inscribed in a circle, is...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 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 contained by its opposite sides.*** Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the. rectangle contained by... | |
| Euclides - 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 contained by its opposite sides.** Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD; the rectangle contained by AC,... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...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 circle, and let AC, BD be drawn ; the rectangle AC.BD... | |
| Euclides - 1845 - 544 pages
...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...both the rectangles contained by i'ts opposite sides.** Let ABCD be any quadrilateral figure inscribed in a circle, and join AC, BD. The rectangle contained... | |
| Euclid, James Thomson - Geometry - 1845 - 380 pages
...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... | |
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