Doubling the cube, circle constructions, and a weighted chain
Quarter-circle diagrams and a cube-doubling root, with an untranscribed suspended weight and linked chain below
The upper sheet carries geometric constructions - two quarter-circles with inscribed triangles and a semicircle with numbered divisions - supporting a note on the duplication of the cube: a n is the root of a cube whose double is the cube built on the root m n. A small figure with the numbers 3 5 - 1 4 5 accompanies the constructions. Below, an untranscribed mechanical drawing shows a weight suspended on a cord over a small pulley and a long, sagging chain of hooked links strung across the foot of the page. The bundle transcription covers only the geometry; the lower mechanism is drawn but not described.
On this page
Root that doubles the cube (a n and m n)
The figure lettered a - m n states that a n is the root of a cube of which the cube produced from the root m n will be its double, the classical problem of doubling the cube.
Quarter-circle construction a - b c
At the right, a quarter-circle figure lettered a - b c, one of two such constructions with inscribed triangles at the top of the sheet.
Figure with the numbers 3 5 - 1 4 5
Below the cube-root note, a figure carries the numbers 3 5 - 1 4 5.
Suspended weight and a chain of links
Untranscribed in the bundle, the lower sheet shows a weight hung on a cord over a small pulley at the left and a long, sagging chain of hooked links strung across the foot of the page.