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Geometry is the study of shape and size. The geometry of our everyday world is based on the work of Euclid, who lived about 300 BC. Euclidian geometry has a rigorously developed logical structure. Three basic undefined terms are point, line, and plane. A point is a tiny dot: it has zero height, zero width, and zero thickness. A line goes off straight in both directions. A plane is flat surface, like a tabletop, extending off to infinity.