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" 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. "
The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ... - Page 79
by Āryabhaṭa - 1878
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...from an angle, £c. QED \ PROP. D. THEOR. THE rectangle contained by the dfagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides. Let ABCD he any quadrilateral inscribed in a circle, and join AC, BD; the rectangle contained hy AC, BD is equal...
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A Supplement to the Elements of Euclid

Daniel Cresswell - Geometry - 1819 - 446 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...its opposite sides. Let ABCD be any quadrilateral rectilineal figure, inscribed in a circle ACB, and let AC, BD, be its diagonals ; then AC X BD = AB...
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A Supplement to the Elements of Euclid

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...its opposite sides. Let ABCD be any quadrilateral rectilineal figure, inscribed in a circle ACB, and let AC, BD, be its diagonals; then AC X BD = AB...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 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,...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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 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....
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Cambridge Problems: Being a Collection of the Printed Questions Proposed to ...

Mathematics - 1821 - 464 pages
...subtended by any side. Mr. J. BROWN. FOR" THE FIFTH AND SIXTH CLASSES. 1. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...both the rectangles contained by its opposite sides. 2. In the collision of two perfectly elastic bodies, the sum of the products of each body multiplied...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 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...its opposite sides. Let ABCD be any quadrilateral inicribed in a circle, and join AC, BD ; the rectangle contained by AC, BD is equal to the two rectangles...
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Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...sum of the two remaining sides of a triangle ; to construct it. 19. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...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...
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A Supplement to the Elements of Euclid

Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...about the triangle. LVII. TH. 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. LVIH. TH. If, from the centre of the circle, described about a given triangle, perpendiculars be drawn...
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