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" The rectangle contained by the diagonals of a quadrilateral ,figure inscribed in a circle, is equal to both the rectangles contained by i'ts opposite sides. "
Cambridge Problems: Being a Collection of the Printed Questions Proposed to ... - Page 112
1821 - 425 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 - 550 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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The New Cambridge Guide ; Or, A Description of the University, Town and ...

Cambridge (England) - 1804 - 476 pages
...the area of the greatest polygon of the same number of sides, inscribed in the circle : : radius^ : cos.]2 of half the angle subtended by any side. Mr....its velocity, is the same before and after impact. 3. Shew that, when bodies revolve in circles having the force in centre, the force varies as the radius...
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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
...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 - Euclid's Elements - 1806 - 320 pages
...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 - 722 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 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
...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,...
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