Middleton-on-Lune railway station Middleton-on-Lune railway station Middleton-on-Lune railway station was located in Westmorland (now Cumbria), serving the hamlet and rural locale of Middleton on the Ingleton Branch Line. It was opened as Middleton in 1861 and renamed Middleton-on-Lune on 19 July 1926, closing in 1931. The Lancaster and Carlisle Railway built the Ingleton Branch Line from the existing Ingleton Station to . By the time the branch was completed in 1861, the L&CR was operated by the London and North Western Railway (L&NWR). After formal closure the line was still on occasions used for weekend excursions and to transport pupils to and from
Lune of Hippocrates Lune of Hippocrates In geometry, the lune of Hippocrates, named after Hippocrates of Chios, is a lune bounded by arcs of two circles, the smaller of which has as its diameter a chord spanning a right angle on the larger circle. Equivalently, it is a non-convex plane region bounded by one 180-degree circular arc and one 90-degree circular arc. It is the first curved figure to have its exact area calculated mathematically. Hippocrates wanted to solve the classic problem of squaring the circle, i.e. constructing a square by means of straightedge and compass, having the same area as a given