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" The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals. "
The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Page 156
by Euclides - 1821
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History of the Foundation of the Actuarial Society of America, Volume 16

Actuarial Society of America - Insurance - 1915 - 478 pages
...tangent to a given circle and passing through a given point. 7. Prove that in any quadrilateral the sum of the squares of the sides is equal to the sum of the squares of the diagonals, increased by four times the square of the line joining the middle points...
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