St Gregory's Church, Vale of Lune west side of the church are three single-light windows. There are no windows on its east side adjoining the cottage. Inside the church are wooden fittings and furniture by Waring & Gillow of Lancaster. The stained glass in the windows was designed by Frederick George Simon, and depicts images from nature, including river scenes, trees, plants, and birds and animals found in the locality. St Gregory's Church, Vale of Lune St Gregory's Church, Vale of Lune, also known as the Vale of Lune Chapel, is a redundant Anglican church situated on the A684 road about to the west of Sedbergh,
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