Mathematics. By interchanging the second and third terms (of a given proportion). Cf. alternate proportion n. at alternate, adj. adv.n. compounds. Obs…

In a homographic manner.

in a way that preserves all topological properties.

by a homotopy; as regards homotopy.

by an isomorphism (sense 2); in an isomorphic manner.

by a homomorphism.

Mathematics. By means of or in the manner of an isometry.

in a symplectic manner; with respect to symplectic properties.