In Euclidean geometry, the British flag theorem says that if a point P is chosen inside a rectangle ABCD then the sum of the squares of the Euclidean distances from P to two opposite corners of the rectangle equals the sum to the other two opposite corners. As an equation: A P 2 + C P 2 = B P 2 + D P 2 .
In Euclidean geometry, the British flag theorem says that if a point P is chosen inside a rectangle ABCD then the sum of the squares of the Euclidean distances from P to two opposite corners of the rectangle equals the sum to the other two opposite corners. As an equation: A P 2 + C P 2 = B P 2 + D P 2 .
Source: Wikipedia "British flag theorem" · CC BY-SA 4.0
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