Equal Divisions of Straight and Curved Rectangles
'All the transverse bases are of equal number and length'; a snail spiral
In red chalk, a geometric demonstration marked 'Proof' compares a rectilinear rectangle divided into similar rectangles with a curvilinear one likewise divided, both held between two parallel lines. The note states that all the transverse bases that can be made by hand in these two surfaces are of equal number and length. Above the writing is a spiral drawn in the form of a snail-shell.
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Equal transverse bases in two surfaces
A straight-sided rectangle divided into similar rectangles is set beside the same rectangle in curvilinear form, likewise divided, both squeezed between two parallel lines. The note claims that all the transverse bases that can be made by hand in these two surfaces are of equal number and length.
Spiral in the form of a snail-shell
A spiral is drawn in the form of a snail-shell at the top of the page. It coils inward from a broad outer turn to a tight center.