I've seen plenty of ancient diagrams representing plane figures.\* But I'd like to know how ancient geometers, especially around the time of Euclid, might have represented solids. Did they use diagrams with perspective? Three dimensional models? 


\*cf. David Fowler, "The Mathematics of Plato's Academy", see the plates between pages 6 and 7



How did ancient greek geometers represent solids?

> 
> Greek mathematical diagrams are composed of lines, arcs, and letter
>  labels, and may be used to represent two- or three-dimensional
>  objects. Drawing aids such as ruler and compass were sometimes, but
>  not always, used in their construction, while curves in mathematical
>  papyri were typically drawn freehand. Three-dimensional objects in
>  diagrams were drawn using foreshortening of certain elements, as
>  opposed to "painterly" techniques such as shading or consistent
>  perspective. The technique of foreshortening does not work for
>  spheres, and so for problems involving spheres special techniques were
>  required, such as depicting the objects hidden by a sphere as though
>  they were outside it.
> 
> 
> 


Courtney Roby, in [The Encyclopedia of Ancient History](http://onlinelibrary.wiley.com/doi/10.1002/9781444338386.wbeah21107/abstract) (2012). 


The encyclopedia entry is based on the analysis of Reviel Netz in [The Shaping of Deduction in Greek Mathematics.](http://catdir.loc.gov/catdir/samples/cam032/98020463.pdf)


