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all pts. and only the points that satisfy a certain description
locus
2 key words that indicate all the points and only the points
inclusve and exclusive
the locus of points equidistant from two given points is the perpendicular bisector of the line joining the two points
theorem 47
the locus of points within angle equidistant from the sides is the line that bisects the angle
theorem 48
the locus of point equidistant from two given intersecting lines is the pair of lines bisecting the angles formed by the given lines
corollary 48-1
the locus of points equidistant from two parallel lines is the line parallel to each of the given lines and midway between them
theorem 49
the locus of points a given distance from a given line consists of to lines, one on either side of the given line, each parallel to the given line and the given distance from it
theorem 50
the locus of points a given distance from a givenpoint is the circle described with the given point as center and the given distance as radius
theorem 51
the locus of centers of all circles tangent to a given line at a given point is the perpendicular to the line at that point
theorem 52