Lunes and circles: similar figures and division of the arc
Dozens of crescent lunes, inscribed triangles and squares around one great circle, with notes on similar figures and infinite division.
The sheet is filled with dozens of small geometric figures — crescent-shaped lunes, circles crossed by chords and diameters, and triangles and squares inscribed in circles — arranged around one large construction of a circle with its diameters and a central lens shape. Accompanying notes state that unequal things share no reciprocal power, that the figure a b is similar to c, and that between the points d and m fall the infinite partitions of the circle, which nonetheless never reach the point a. Faint mirror-script also appears in the upper-right corner and along the right margin, some of it beyond the transcribed blocks.
On this page
Similar figures b, a, c beside the great circle
A large central circle is crossed by its diameters and a lens-shaped figure, surrounded by many smaller constructions. Beside one group of circles a note states that the figure a b is similar to c.
The infinite partitions of a circle between d and m
A semicircle drawn sideways carries the points d, a, 3, 4, 5, 6 and m. The note argues that the circle's infinite partitions fall between d and m yet never reach a, because the finite straight lines a d and S m would have to meet in an angle, whereas the division of the circle is infinite.
Unequal things share no reciprocal power
In the upper-right corner a maxim in mirror script states that unequal things are not in reciprocal superiority, nor of reciprocal power among themselves.
Lunes, inscribed triangles and squares
Scattered across the sheet are many small figures: crescent-shaped lunes, triangles and squares inscribed in circles, and quadrant shapes. They appear to be studies in comparing curved and straight-sided areas.