Gino Loria, Italy’s foremost historian of mathematics, surveys in Die hauptsächlichsten Theorien der Geometrie the principal theories of geometry in their historical development — from the ancients through Descartes to the projective, non-Euclidean and higher geometries that transformed the nineteenth century.
It is a compact scholarly map of geometry’s whole territory, drawn just as that territory finished expanding beyond Euclid forever. Download the free EPUB, in German, for the history of geometry by one of its masters.