Squaring of lunes continued, with a theorem on the square

Similar segments on the side and diagonal of a square

Leonardo states that similar circular segments, one made on the side and the other on the diagonal of the same square, will be double one to the other; and repeats the rule that among similar segments those are double one another of which one stands on the side and one on the diagonal of a single square. It is a correct consequence of the diagonal being the side times root two.

Squaring construction transferring a into a square (a, o, n, m, f)

Take a to the o and restore its value with n m, and you will have o n m f as a square equal to a o f. The step exchanges a curved portion for an equal rectilinear one to complete the quadrature.

Squaring a crescent (a, b, c, o, r)

Place, or rather restore, a to b r in c o as its value, and you will have b c o r equal to b a r. Another instance of converting a crescent-bounded area into an equal rectilinear figure.

Reminder to have the shells at Monte Mario drawn

A memorandum among the diagrams: have someone draw for you where the shells (nicchi) are at Monte Mario. It is a note to himself set apart from the surrounding geometry.

Colonna prima, figura biffata con:

Figura biffata con:

Figura biffata con:

Colonna seconda, figura:

Figura:

Figura biffata con:

Colonna terza, figura:

Figura con:

Colonna quarta, figura con

Figura successiva:

Figura con:

Colonna quinta, figura con:

Colonna sesta:

Colonna settima, figura con:

Colonna ottava, figura biffata con:

Colonna decima, figura biffata con:

Colonna duodecima, figura biffata:

Colonna tredicesima, figura biffata con:

Colonna quattordicesima, figura:

Angolo inferiore sinistro:

First column, figure struck through, with:

Figure struck through, with:

Figure struck through, with:

Second column, figure:

Figure:

Figure struck through, with:

Third column, figure:

Figure with:

Fourth column, figure with:

Following figure:

Figure with:

Fifth column, figure with:

Sixth column:

Seventh column, figure with:

Eighth column, figure struck through, with:

Tenth column, figure struck through, with:

Twelfth column, figure struck through:

Thirteenth column, figure struck through, with:

Fourteenth column, figure:

Lower-left corner:

On this page

Similar segments on the side and diagonal of a square

Squaring construction transferring a into a square (a, o, n, m, f)

Squaring a crescent (a, b, c, o, r)

Reminder to have the shells at Monte Mario drawn