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 which the arc "AEB" lies. Consequently, the smaller circle has half the area of the larger circle, and therefore the quarter circle AFBOA is equal in area to the semicircle AEBDA. Subtracting the crescent-shaped area AFBDA from the quarter circle gives triangle ABO and subtracting the same crescent from the semicircle gives the lune. Since the triangle and lune are both formed by subtracting equal areas from equal area, they are themselves equal in area. Using a similar proof to the one above, Alhazen showed that two lunes, formed on the two sides of a right triangle, whose outer boundaries