Loci

The Locus of a Point is the path traced by a point as it moves in accordance with set conditions and constraints.

For example: the locus of all points a set distance from another point is a circle; the locus of all points equi-distant from the ends of a line is the perpendicular bisetor of the line and the locus of all points a set distance from a given are lines parallel to it (or an oval if the locus continues round the ends of the line)

More practically it sometimes necessary to know the path traced by the ends of pieces of machinery for example - i.e. to check clearances, estimate speeds of different parts of a lunkage or design guards

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