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Definition: having the same direction as the horizon, flat and level. A marble would not roll off a horizontal table without being pushed. On paper, a horizontal line is shown by a line parallel to the top of the page. In practice, horizontal planes are checked with a spirit level.
Source: Hutchinson Pocket Dictionary of Maths. Abingdon, Oxfordshire, GBR: Helicon Publishing, 2005. p 77.