An effective graphic interface is a key tool to improve the fruition of the results retrieved by an Information Retrieval (IR) system. In this work, we describe a two-dimensional interface that represents the documents ranked on a Cartesian space and allows the user to interact with the documents in order to improve the results of the search engine. Results are classified and ranked according to the best separating line of the two classes of documents: relevant and non relevant documents. Mathematical tools such as least squares distances are used to train the supervised algorithm that finds the separating and ranking lines. Categories and Subject Descriptors H.3.3 [Information Storage and Retrieval]: Information Search and Retrieval—Information filtering, Relevance feedback, Retrieval models, Search process; H.5.2 [Information Interfaces and Presentation]: User Interfaces—Graphical user interfaces (GUI) General Terms Algorithms, Design, Experimentation Keywords Information Vi...