Lune Aqueduct Lune Aqueduct The Lune Aqueduct is a navigable aqueduct that carries the Lancaster Canal over the River Lune, on the east side of the city of Lancaster in Lancashire, England. It was completed in 1797 at a total cost of £48,320 18s 10d. It is a Grade I listed building. The aqueduct was designed by civil engineer John Rennie and constructed by architect Alexander Stevens (died 1796, aged 66). The cost of the construction was close to £50,000. The aqueduct is a traditional structure of that time, consisting of five stone arches supporting the stone trough. Within the piers, special
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