...diagonals is double the sum of the squares of two lines bisecting the two pairs of opposite sides. 6. In a quadrilateral inscribed in a circle, the rectangle...rectangles under the two pairs of opposite sides. DIAL, or sun-dial, is a plane, upon which lines are described in such a manner, that the shadow of a wire,...

...sqflares of two lines bisecting ths two pairs of opposite sides. 6. In a quadrilateral inscribed iu a circle, the rectangle of the two diagonals is equal...rectangles under the two pairs of opposite sides. DIAL, or sun-dial, is a plane, upon which lines are described in such amanner, that the shadow of a wire,...

...know of, this property of any quadrilateral inscribed in a circle, namely, that the rectangle under the two diagonals, is equal to the sum of the two rectangles under the opposite sides. This method of computation, by the chords, continued in use till about the middle centuries...

...know of, this property of any quadrilateral inscribed in a circle, namely, that the rectangle under the two diagonals, is equal to the sum of the two rectangles under the opposite sides. This method of computation, by the chords, continued in use till about the middle centuries...

...quadrilateral inscribed in a circle, taken together, are equal to two right angles. And in this case the rectangle of the two diagonals is equal to the sum of the two rectangles of the opposite sides. For the properties of the particular species of quadrilaterals, see their respective...

...sides is equal to the sum of the squares of the two diagonals, together with four times the square 01 the distance between the middle points of the diagonals....the hour, which is done by means of a wire, or by a triangular board, &c. placed at right angles to the face or index. This triangular piece is called...

...Лс. »С. &с. acribcrt ¡na circle taken together, are equal to two right angles. And in ibis case the rectangle of the two diagonals, is equal to the sum of the two rectangles of the opposite sides. For the properties of the particular specie» of quadrilaterals, see their respective...

...the distance between the middle points of the diagonals. 7. In any trapezium, the MUD of the squaies of the two diagonals is double the sum of the squares...the two rectangles under the two pairs of opposite fides. 9. In every pariillelopiped, the nun of the squares of the four diagonal* of the solid is equal...

...to the perimeter multiplied by half the radius of the inscribed circle. THEOREM. J> j? 233. In every quadrilateral inscribed in a circle, the rectangle of the two diagonals is equal to the sum of the retangles of the opposite sides. In- the quadrilateral ABCD, we shall have AC.BD=AB.CD+AD.BC. Take...

...perimeter multiplied by half the radius of the inscribed circle PROPOSITION XXXIII. THEOREM. In every quadrilateral inscribed in a circle, the rectangle of the two diagonals is equivalent to the sum of the rectangles of the opposite sides. In the quadrilateral ABCD, we shall...