Twenty-eight problems on transforming a board's dimensions
How length, width, or thickness changes when the other two are varied
A systematic table of proportion problems on a board (tavola), numbered 13 through 24 with a further set 25-28 added in the margin. Each asks how one dimension must change when two others are altered together, for example: if it shortens and thickens, how much does it widen? The page closes with a stated "manner of proposing" such a problem, continuing the notebook's studies on the measurement and transformation of solids.
On this page
Table of transformation problems (nos. 13-24)
A run of twelve paired conditions asks how the third dimension of a board responds when two are changed together: shortening with thickening, thinning, widening or narrowing (13-16); lengthening with the same four (17-20); and thickening or thinning combined with widening and narrowing (21-24).
The manner of proposing the problem
A closing note gives the form in which such a problem should be stated: the given board shortening and thickening to given limits, what will be its width?
Four further problems in the margin (nos. 25-28)
Added in the margin, four more pairings continue the set: thickening with lengthening and shortening, and thinning with lengthening and shortening, each asking how the remaining dimension changes.