115. Construct a square equal in area to the difference of two given squares.

## Examples from Baudhayana.

From the collection, "Sulva-sutra".


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115. Construct a square equal in area to the difference of two given squares.

## Examples from Baudhayana.

From the collection, "Sulva-sutra".
115. The second rule of Apastamba: "From the side $E C$ of the subtracted square, subtract the part (rectangle $H B C E$) from the larger and extend the greater side $H E$ of the cut-off part until it meets the other side $B C$. The segment $K C$ is the desired one" (fig. 36). It is clear that $K C^{2}=K E^{2}-E C^{2}=A B^{2}-E C^{2}$.

![](https://cdn.mathpix.com/cropped/2024_05_21_926f0bb262c8f9569516g-103.jpg?height=348&width=502&top_left_y=931&top_left_x=1188)

Fig. 36.