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Partition a line segment so that the difference between the square on the greater part and the square on the lesser part is constant.

The point K splits AD into AK and KD, such that <span class=$AK^2 - KD^2 = AC^2$, AC is of fixed length">

In the figure, point K splits AD into AK and KD, such that $AK^2 - KD^2 = AC^2$, AC is of fixed length.

Can this be achieve by compass and straight edge?

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    Googling tells me that a square on a part refers to a square positioned in the plane with a given line segment as one of its sides. I'm still not sure what you mean by the difference between two of these squares being constant. (Constant with respect to what?)2011-09-19
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    If the length of the segment is $a$, and you are given $b$, are you asking to find $c$ so that $(a-c)^2-c^2=b?$2011-09-19
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    @RossMillikan, exactly.2011-09-19

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