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" The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides. "
A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... - Page vii
by John Bonnycastle - 1806 - 419 pages
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1851 - 1054 pages
...ratio of their homologous sides. 3- The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal to the sum of the rectangles contained by its opposite sides. Section 4. 1. Given the base, the vertical angle, and the perpendicular...
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History of the Foundation of the Actuarial Society of America, Volume 18

Actuarial Society of America - Insurance - 1917 - 480 pages
...and -• (6) If a : /3 = m : n show that mnb? = (m + «)2 o&. 8. The product of the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the products of the opposite sides. 9. ABCD is a parallelogram, O a point within it; through 0, lines MN,...
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