Search Images Maps Play YouTube News Gmail Drive More »
Sign in
 Books Books
The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides.
A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... - Page vii
by John Bonnycastle - 1806 - 419 pages
Full view - About this book

## The British Palladium: Or, Annual Miscellany of Literature and ..., Volume 7

Almanacs, English - 1757
...the Figure is infcribed in a Circle. But the Recbngle of the two Diagonals of any Trapezium infcribed in a Circle is equal to the Sum of the Rectangles of the oppofite Sides : Therefore DExBC = DCXBE + DBXCE; the Half of which is (= 2880 Perches, or 18 Acres)...
Full view - About this book

## A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 2

Isaac Dalby - Mathematics - 1806 - 526 pages
...parallelogram, is equal to the squares on the four sides taken together. 241. THEOREM. The rectangle under the two diagonals of any quadrilateral inscribed in a circle, is equal to the sum of the two rectangles of the opposite sides : That is, AC x BD = AB x CD -f AD x BC. Suppose CP is drawn to...
Full view - About this book

## Tracts on Mathematical and Philosophical Subjects: Comprising Among Numerous ...

Charles Hutton - Bridges - 1812 - 514 pages
...of the chord of an arc, and of the chord of its supplement to a semicircle.—2. The rectangle under the two diagonals of any quadrilateral inscribed in a circle, is equal to the sum of the two rectangles under the opposite sides.—3. The sum of the squares of the sine and cosine, hitherto...
Full view - About this book

## Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - Mathematics - 1823 - 684 pages
...equal to the internal and opposite angle. 7. Also, in this case, the rectangle of its two diagonals is equal to the sum of the rectangles of its opposite sides. TRAPEZOID, a quadrilateral figure, having two of its opposite sides parallel ; the area of which is...
Full view - About this book

## Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...the ratios of their sides. 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a circle is equal to the 'sum of the rectangles contained by its opposite sides. 4. If the exterior angle of a triangle be bisected, and also one of...
Full view - About this book

## Alma Mater, Or, Seven Years at the University of Cambridge, Volume 1

John Martin Frederick Wright - 1827 - 344 pages
...the ratios of their sides. 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by its opposite sides. 4. If the exterior angle of a triangle be bisected, and also one of...
Full view - About this book

## Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ...

John Martin F. Wright - 1827 - 638 pages
...the ratios of their sides. 3. The rectangle contained by the diagonals of any quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by its opposite sides. 4. If the exterior angle of a triangle be bisected, and also one of...
Full view - About this book

## Mathematical Tables: Containing the Common, Hyperbolic, and Logistic ...

Charles Hutton - Logarithms - 1834 - 368 pages
...of the chord of an arc, and of the chord of its supplement to a semicircle. 2. The rectangle under the two diagonals of any quadrilateral inscribed in a circle, is equal to the sum of the two rectangles under the opposite sides. 3. The sum of the squares of the sine and cosine (often called...
Full view - About this book

## Mathematical Tables: Containing the Common, Hyperbolic, and Logistic ...

Charles Hutton - Logarithms - 1842 - 456 pages
...of the chord of an arc, and of the chord of its supplement to a semicircle. 2. The rectangle under the two diagonals of any quadrilateral inscribed in a circle, is equal to the sum of the two rectangles under the opposite sides. 3. The sum of the squares of the sine and cosine (often called...
Full view - About this book

## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...Wherefore, If from any angle %c. QBP PROP. D. THEOn. Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a circle, and join AC,...
Full view - About this book