Line of 12 split into 8 and 4, with diagonal construction
A square of 144 enclosing the lesser square, diagonal raised to a perpendicular
The line of 12 is now cut at c into a greater part 8 and a lesser part 4, marked a, c, b. A square is built on the smaller part and its diagonal is extended until it meets, at f, a perpendicular raised at the end of the given line. The larger square of side 12 and area 144 encloses the smaller square, and a divided square displays the two equal rectangles of 32 with the note that a-b is right-angled and opposite; a side column reckons 64, 16, 32, 32 and 144.
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Diagonal of the square extended to a perpendicular
The diagonal of the square built on the smaller part is prolonged until it cuts, at the point f, a perpendicular raised at the extremity of the given line. The intersection at f ties the diagonal construction to the base line marked a, b.
Square of 144 enclosing the lesser square
The larger square, side 12 and area 144, is drawn so as to contain the smaller square built on the part. The nesting shows the square of the whole against the square of a part.
Divided square with two rectangles of 32
A square is divided to show two equal rectangles of area 32 and the corner squares of the parts, with the note that a-b is right-angled and opposite. The figure lays out the standard decomposition of a square on a divided line.
Column reckoning 64, 16, 32 and 144
Beside the divided line a column of figures reckons the areas, among them 64, 16, 32, 32 and the total 144. The numbers repeat in calculation the squares and rectangles of the drawing.