A quadratic formholds for all x represented by φ. This notion was introduced by Witt, and round forms have been an object of research ever since cf.3,6,7,and 10. It turns out that they are also important in the geometric theory of quadratic forms: The group of similarities of a metric vector space (V,K,q) (char K≠2) operates transitively on the set non-singular vectors iff the form q is round up to a nonzero factor. Using this we get a similar description of the transitivity behaviour of several other metric collineation groups (cf.[2]). Semisimilarities of (V.K.q) are exactly those semilinear bijections which preserve the orthogonality relation provided byq. To study the transitivity properites of the group of semisimilarities the notion of a semiround form was introduced in [2]: A form φ is called semiround if for all x represented by φ there is a field automorphism σ of the underlying fieldKsuch that. In [2] we have shown that the group of semisimilarities of (V,K,q) (char K≠2) operates transitively on the set of non-singular vectors iff q is semiround up to a nonzero factor. Hence, these forms are also worth further investigation.