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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. "
A collection of elementary test questions in pure and mixed mathematics ... - Page 270
by James Robert Christie - 1866 - 404 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...«• »«. «. D. PRO PD THE 0 R. rectangle contained by the diagonals of a quadrilateral infcribed in a circle, is equal to both the rectangles contained by its oppofite fides. Let ABCD be any quadrilateral infcribed in a circle, and join AC, BD; the rectangle...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...it. «. D. PRO PD THEO R. TPHE rectangle contained by the diagonals of a qua| drilateral inferibed in a circle, is equal to both the rectangles contained by its oppofite fides. Let ABCD be any quadrilateral inferibed in a circle, and join AC, BD ; the rectangle...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...angle, &c. Q^ED PROP. D. THE 6 R. THE rectanglc contained by the diagonals of a quadrilateral infcribed in a circle, is equal to both the rectangles contained by its oppofue fides. Let ABCD bs any quadrilateral infcribed in a circle, and join AC, BD ; the rectangle...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...6. SEc. Q^ED PROP. D. THEOR. THE rectangle contained by the diagonals of a quadrilateral infcribed in a circle, is equal to both the rectangles contained by its oppofite fides. Let ABCD be a quadrilateral infcribed in a circle, and draw the diagonals AC, BD ;...
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New Cambridge Guide; Or, A Description of the University, Town, and County ...

Cambridge (England) - 1804 - 130 pages
...the Fifth and Sixth Classes. 1. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle, is equal to 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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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...l6. 6' C^_E. D. PROP. D. THEOR. THE rectangle contained by the diagonals of a quadrilateral infcribed in a circle, is equal to both the rectangles contained by its oppofite fides. Let ABCD be any quadrilateral infcribed in a circle, and join AC, BD; the rectangle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...therefore, from an angle, fcc. QED PROP. D. THEOR. THE rectangle contained by the diagonals of aseeN. 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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Trigonometry - 1806 - 311 pages
...b 31. 3. c21.3. d4. 6. e 16. 6. PROP. D. PROS. THE rectangle contained by the diagonals of a Soe N. quadrilateral inscribed in a circle is equal to both the rectangles contained by its opposite sides. Book VI. a 21. 3. b4. 6. c 16. 6. dl.2. Let ABCD be any quadrilateral inscribed in a circle, and let...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...contained by the perpendicular and the diameter of the circle described about the triangle. Prop. D. Theor. The rectangle contained by the diagonals of a quadrilateral...both the rectangles contained by its opposite sides. Book XI. Def. 1.— A solid is that wh.ich hath length, breadth, and thickness. 2. That which bounds...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...AD. If therefore from an angle, £c. QED \ PROP. D. THEOR. THE rectangle contained by the dfagonals of a quadrilateral inscribed in a circle, is equal...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,...
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