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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 Short History of Greek Mathematics - Σελίδα 292
των James Gow - 1884 - 323 σελίδες
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 σελίδες
...«• »«. «. 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...

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 σελίδες
...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...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 σελίδες
...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 ;...

New Cambridge Guide; Or, A Description of the University, Town, and County ...

1804 - 476 σελίδες
...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...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
...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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...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,...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...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...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...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 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...




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