| Daniel Cresswell - Geometry - 1819 - 410 pages
...AD. PROP. LVII. 66. THEOREM. The rectangle contained by the diagonals of a quadrilateral rectilineal **figure, inscribed in a circle, is equal to both the rectangles contained by its opposite sides.** Let ABCD be any quadrilateral rectilineal figure, inscribed in a circle ACB, and let AC, BD, be its... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...from an angle, &c. Q, 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 let AC, BD be drawn ; the rectangle AC.BD... | |
| Daniel Cresswell - Geometry - 1819 - 486 pages
...LVII. 66. THEOREM. The rectangle contained by the diagonals of a quadrilateral rectilineal Jigure, , **inscribed in a circle, is equal to both the rectangles contained by its opposite sides.** Let ABCD be any quadrilateral rectilineal figure, inscribed in a circle ACB, and let AC, BD, be its... | |
| John Playfair - 1819 - 317 pages
...from an angle, &c. Q, ED PROP. D. THEOR. The rectangle contained by tht diagonals of a quadrilateral **inscribed in a circle, is equal to both the rectangles, contained by its opposite** Let ABCD be any quadrilateral inscribed in a circle, and let AC. BD be drawn ; the rectangle AC.BD... | |
| John Mason Good - 1819 - 740 pages
...described about the triangle. Prop. D. Theor. The rectangle contained by the diagonals of a quadrilateral **inscribed in a circle, is equal to both the rectangles contained by** it» opposite sides. Book XI. Def. 1. — A solid is that which hath length, breadth, and thickness.... | |
| John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...base, the vertical angle, and the sum of the two remaining sides of a triangle ; to construct it. 19. **The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides.** GEOMETRY. 1. How many sides has that polygon whose interior angles equal ten right angles ? 2. In any... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...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, and join AC, BD ; the rectangle contained by AC,... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...BA, AC is equal* to the rectangle EA, AD. If therefore from an angle, &c. QED PROP. D. THEOR. See N. **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... | |
| John Playfair - Geometry - 1829 - 186 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 contained by its opposite sides.** Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the rectangle contained by AC,... | |
| |