Search for Anomalous Production of Acoplanar Di-lepton Events in e+e- collisions at sqrt(s) = 183 and 189 GeV A selection of di-lepton events with significant missing transverse momentum has been performed using a total data sample of 237.4 inverse pico-barns at e+e- centre-of-mass energies of 183 GeV and 189 GeV. The observed numbers of events --- 78 at 183 GeV and 301 at 189 GeV --- are consistent with the numbers expected from Standard Model processes, which arise predominantly from W-pair production with each W decaying leptonically. This topology is also an experimental signature for the pair production of new particles that decay to a charged lepton accompanied by one or more invisible particles. Discrimination techniques are described that optimise the sensitivity to particular new physics channels. No evidence for new phenomena is apparent and model independent limits are presented on the production cross-section times branching ratio squared for sleptons and for leptonically decaying charginos and charged Higgs. Parallel session :11 Plenary session :7a