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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 school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...1 6.) If therefore from. any angle, &c. QED PROPOSITION D. THEOREM. The rectangle contained bg the diagonals of a quadrilateral figure inscribed in a circle, is equal to both the rectangles contained bg its opposite sides. Let ABCD be any quadrilateral figure inscribed in a circle, and join AC, BD....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...(vi. 16.) If therefore, from any angle, &c. QED PROPOSITION D. THEOREM. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...the rectangles contained by its opposite sides. Let A BCD be any quadrilateral figure inscribed in a circle, and join AC, BD. The rectangle contained by...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...(vi. 16.) If, therefore, from any angle, &c. QED PROP. D.— THEOKEM. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...both the rectangles contained by its opposite sides. (References— Prop. i. 23 ; n. 1; III. 21 ; VL 4, 16.) Let ABCD be any quadrilateral figure inscribed...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 350 pages
...to <be rectangle EA.AD. PROP. D. THEOR. The Ttttangl*. contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles, contained by ut opposite sides, I >et ABCD bo any quadrilateral inscribed in a circle, and let AC, BD be drawn ;...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...Wherefore, if from the vertical angle &c. QED PROPOSITION 2). THEOREM. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...circle, and join AC, BD: the rectangle contained by AG, BD shall be equal to the two rectangles, contained by AB, CD and by AD, BC, Make the angle ABE...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
..."Wherefore, if from the vertical angle &c. QED, PROPOSITION D. THEOREM. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...quadrilateral figure inscribed in a circle, and join AC,BD: the rectangle contained by AC, BD shall be equal to the two rectangles contained by AB, CD and...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...(vI. 16.) If therefore from any angle, &c. QED PROPOSITION D. THEOREM. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...the rectangles contained by its opposite sides. Let AB CD be any quadrilateral figure inscribed in a circle, and join^C, BD. The rectangle contained by...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 pages
...centre of the circle inscribed in the triangle ABC, prove BD=DC = DO. 11. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...both the rectangles contained by its opposite sides. If the diagonals of a quadrilateral inscribed in a circle intersect at right angles, show that the...
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Dublin examination papers

Dublin city, univ - 1871 - 366 pages
...seeks its subjects in the past. JUNIOR FRESHMEN. glaibtmatirs. DR. STUBBS. 1 . The rectangle under the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles under the opposite sides~: 2. Find two lines which shall be to each other...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...16). If therefore from any angle, &c. QED PROPOSITION D. — Theorem. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a...any quadrilateral figure inscribed in a circle, and Then the rectangle contained by AC, BD shall be equal to the two rectangles contained by AB, CD, and...
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