Lunes and circle-portions; the river Arve near Geneva

A portion equal to a sector, and a matched lune

Leonardo poses the problem of making a portion equal to a sector of the same circle, and a lune of equal curvature but with double sides. Circle figures with lunes carry the letters a, n, m to mark the construction. It continues the quadrature studies of the facing page.

Equal bases between parallels

In the lettered figure the bases between a and c are equal, and between e and d equal, fg likewise, and so between h and i, and so it continues. The series formalises the theorem of equal figures on equal bases used throughout these leaves.

Protecting the river bank with stone and lattice

A note beside a sketch records that the bank is filled with stones and covered with wattle-lattice, where the river strikes at San Giovanni. It is a method of revetment for a stretch of river attacking its bank.

Locating the Arve near Geneva

The topographic note places the river Arve near Geneva, a quarter of a mile into Savoy where the fair is held, striking at San Giovanni in the village of Saint-Gervais. It fixes the site geographically alongside the bank-work sketch.

A sinistra, sopra e sotto due figure geometriche:

Figura di cerchi con lunule e le lettere:

Colonna centrale, a matita: Figura colle lettere:

Figura colle lettere:

A destra, di fianco al primo disegno:

Sotto il secondo disegno:

Sotto il successivo disegno:

In basso:

At left, above and below two geometric figures:

Figure of circles with lunes and the letters:

Central column, in pencil; figure with the letters:

Figure with the letters:

At right, beside the first drawing:

Below the second drawing:

Below the next drawing:

At the foot:

Lunes and circle-portions; the river Arve near Geneva

On this page

A portion equal to a sector, and a matched lune

Equal bases between parallels

Protecting the river bank with stone and lattice

Locating the Arve near Geneva