During the first year's operation of the Geos 3 mission, 20 satellite passes were simultaneously observed by three laser tracking stations. Range observations of better than 7-cm precision were taken from the sites at Greenbelt, Maryland, and Bermuda and Grand Turk islands. The three interstation base lines have been estimated simultaneously from these multiple arcs of data and were found to be quite insensitive to the dynamic model used to determine the orbit. The 1364-km Bermuda--Grand Turk base line values always lie within 15 cm of the best estimate when a variety of reasonable dynamic models are employed and when disjoint subsets of all available data are used. The corresponding precisions for the Greenbelt--Grand Turk (2013 km) and Greenbelt-Bermuda (1323 km) base lines are 30 cm and 20 cm, respectively. A clear dependence of the estimates on base line orientation relative to the orbit's ground track can be eliminated by combining data from north going passes with those from south going passes. Range observations from a fourth site at Patrick Air Force Base, in Florida, were taken during five of the 20 passes and were used to measure the distances between the three original stations and Patrick. A consistency analysis of the heights of the Bermuda and Grand Turk lasers determined in relation to Greenbelt indicates better than 35-cm precision in relative height. When scale and orientation information is provided by conventional dynamic techniques using longer arcs of ranging data, the short-arc method offers an important capability in the accurate triangulation of networks of laser stations.