Transforming a cube into a square slab of given height
Solid-geometry problems on turning a cube into a flat square plate
The note poses two solid-geometry problems: from a cube to make a square slab (tavola) of a stated height, and, a square slab being lowered to a stated lesser height, to determine how much its square face must grow. The leaves are covered with small perspective sketches of cubes capped by semicircular arcs, working out these volume-preserving transformations between a solid cube and a flattened plate. Further untranscribed writing surrounds the drawings.
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From a cube to a square slab of given height
The first problem asks to convert a cube into a square slab of a stated height. The second lowers a square slab to a given lesser height and asks how much its square area increases to preserve the volume.
Perspective sketches of cubes and slabs
A vertical column of small perspective solids runs down the left of 183v, each a cube or slab capped by a semicircular arc. They step through the transformation of a compact cube into progressively flatter square plates.
