Triangular prisms and pyramids: weight proportional to the axis
Center-of-gravity constructions across sectioned solids
A sheet filled with triangular prisms, pyramids and their sections drawn in perspective, each threaded with construction lines running from vertices toward an internal point. A large triangle inscribed in a rectangle at the lower left works out such a construction in detail. The one substantive note states that triangles of equal base carry weights in the same proportion as their axes, tying the geometric figures to a study of balance and center of gravity.
On this page
Weights of equal-based triangles follow their axes
Triangles of equal base will have such proportion of their weights as is that of their axes. The remark is set beside a numbered triangular prism (3, 3).
Center-of-gravity constructions in triangles and prisms
A large triangle inscribed within a rectangle carries lines drawn from its vertices meeting inside, the geometric scaffolding for locating a balance point. Smaller sectioned prisms and pyramids across the sheet repeat the construction; one upright triangular prism is simply labelled 'upright'.
