Theory and reduction of singularities
Linear systems of curves
Adjoint systems and the theory of invariants
The arithmetic genus and the generalized theorem of Riemann-Roch
Continuous non-linear sytems
Topologica properties of algebraic surfaces
Simple and double integrals on an algdebraic surface
Branch curves of multiple planes and continuous systems of plane algebraic curves
Series of equivalence
Correspondences between algebraic varieties

From the reviews: "The author's book [...] saw its first edition in 1935. [...] Now as before, the original text of the book is an excellent source for an interested reader to study the methods of classical algebraic geometry, and to find the great old results. [...] a timelessly beautiful pearl in the cultural heritage of mathematics as a whole."