Combining Several Squares into One
Squares, right triangles and a note on making three squares into a single square
A page of Euclidean square-and-triangle constructions, mostly in faint pencil with some figures in pen. It includes three struck-through squares, a row of four squares lettered n i h g, and four right triangles stacked so that a square is built on the last hypotenuse. A written note explains how the squares n, i, h, g are to be reassembled into a single square by laying their sides end to end along the line f-c.
On this page
Making three squares into one
Leonardo sets out to turn the squares n i h g into a single square: he places on f-e the side of square g and on e-d a side of square h, so that the line f-d contains the two squares. Adding square i along d-c then makes the line f-c contain three squares.
Four right triangles with a square on the hypotenuse
Four right triangles are superimposed and lettered a, b, c, d, f, e, with a square constructed on the last hypotenuse. The figure links the stepped triangles to the area of the square raised on their longest side.