River Lune Weasdale Beck (5.58 km = 3½ mls) at 1.6 miles from the well. Weasdale Beck is the uppermost headwater of River Lune recorded in Environment Agency's Catchment Data Explorer. It then passes the remnants of a Roman fort near Low Borrowbridge at the foot of Borrowdale, and flows through south Cumbria, meeting the Irish Sea at Plover Scar near Lancaster, after a total journey of about . The valley of the Lune has three parts. The northern part between its source and Tebay is called Lunesdale. Below this is the spectacular Lune Gorge through which both the M6 motorway and
Lune of Hippocrates circle. He proved that the lune bounded by the arcs labeled "E" and "F" in the figure has the same area as triangle "ABO". This afforded some hope of solving the circle-squaring problem, since the lune is bounded only by arcs of circles. Heath concludes that, in proving his result, Hippocrates was also the first to prove that the area of a circle is proportional to the square of its diameter. Hippocrates' book on geometry in which this result appears, "Elements", has been lost, but may have formed the model for Euclid's "Elements". Hippocrates' proof was preserved through the "History