The town of Haslemere (ˈheɪzəlmɪər) and the villages of Shottermill and Grayswood are in south west Surrey, England, around south west of London. Together with the settlements of Hindhead and Beacon Hill, they comprise the civil parish of Haslemere in the Borough of Waverley. The tripoint between the counties of Surrey, Hampshire and West Sussex is at the west end of Shottermill.
Much of the civil parish is in the catchment area of the south branch of the River Wey, which rises on Blackdown in West Sussex. The urban areas of Haslemere and Shottermill are concentrated along the valleys of the young river and its tributaries, and many of the local roads are narrow and steep. The National Trust is a major landowner in the civil parish and its properties include Swan Barn Farm. The Surrey Hills Area of Outstanding Natural Beauty is to the north of the town and the South Downs National Park is to the south.
Haslemere is thought to have originated as a planned town in the 12th century and was awarded a market charter in 1221. By the early 16th century, it had become a Parliamentary borough and was represented by two MPs in the House of Commons until 1832. The town began to grow in the second half of the 19th century, following the opening of the London to Portsmouth railway line in 1859. In late-Victorian times, it became a centre for the Arts and Crafts movement and the International Dolmetsch Early Music Festival was founded in 1925. Haslemere became an Urban District in 1913, but under the Local Government Act 1972, its status was reduced to a civil parish with a town council.
Shottermill grew up as a hamlet near to one of the watermills on the River Wey in the 16th century. The settlement began to expand in the 1880s and joined the Haslemere Urban District in 1933. Until the end of the 19th century, Grayswood was a small farming community, but became an ecclesiastical parish in 1901.
The first indication of a settlement at Haslemere is from 1180, when there is a record of a "Chapel of Piperham", belonging to the church at Chiddingfold.
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Godalming ˈɡɒdəlmɪŋ is a market town and civil parish in southwest Surrey, England, around southwest of central London. It is in the Borough of Waverley, at the confluence of the Rivers Wey and Ock. The civil parish covers and includes the settlements of Farncombe, Binscombe and Aaron's Hill. Much of the area lies on the strata of the Lower Greensand Group and Bargate stone was quarried locally until the Second World War. The earliest evidence of human activity is from the Paleolithic and land above the Wey floodplain at Charterhouse was first settled in the middle Iron Age.
The A3, known as the Portsmouth Road or London Road in sections, is a major road connecting the City of London and Portsmouth passing close to Kingston upon Thames, Guildford, Haslemere and Petersfield. For much of its length, it is classified as a trunk road and therefore managed by National Highways. Almost all of the road has been built to dual carriageway standards or wider. Apart from bypass sections in London, the road travels in a southwest direction and, after Liss, south-southwest.
Farnham (ˈfɑːrnəm) is a market town and civil parish in Surrey, England, around southwest of London. It is in the Borough of Waverley, close to the county border with Hampshire. The town is on the north branch of the River Wey, a tributary of the Thames, and is at the western end of the North Downs. The civil parish, which includes the villages of Badshot Lea, Hale and Wrecclesham, covers and had a population of 39,488 in 2011. Among the prehistoric objects from the area is a woolly mammoth tusk, excavated in Badshot Lea at the start of the 21st century.
Covers Borcherds' proof strategy, emphasizing the significance of simple roots and Weyl vectors.