Reducing a Cube to a Cylinder of Equal Content
Struck-through notes on the proportion of cube a b o p to cylinder o p c d
Two facing leaves seen by transmitted light, written across their upper halves with the lower halves left blank. Two short passages, both struck through, work on the equivalence of solids: one states that between the parallel lines a b and c d at the point p, the cube a b o p is to the cylinder o p c d as the side b p is to the side p d. The other explains that from a 'natural table' the greater cube is derived, here reduced to the cylinder o p c d, and that he has made the table containing the quantity of the cube a b o p. Small box- and block-shaped diagrams sit among the writing, and further text not given in the transcription appears on the leaves.
On this page
Proportion of the cube a b o p to the cylinder o p c d
Between the parallel lines a b and c d at the point p, the cube a b o p stands to the cylinder o p c d as the side b p stands to the side p d. The struck-through note sets a proportion between a rectangular solid and a cylinder in terms of two of their bounding sides.
Deriving the greater cube and reducing it to a cylinder
From the 'natural table' the greater cube is derived, which here is reduced into the cylinder o p c d; and the table has been made that contains in itself the quantity of the cube a b o p. The passage, also struck through, describes turning one solid into another of equal content.