Term
| Name the locus of points equidistant from two given points |
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Definition
| the perpendicular bisector of the line joining the two points. (Theorem 47) |
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Term
| Name the locus of points within an angle equidistant from the sides |
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Definition
| the line that bisects the angle (Theorem 48) |
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Term
| Name the locus of points equidistant from two given intersecting lines |
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Definition
| the pair of lines bisecting the angles formed by the given lines (Corollary 48-1) |
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Term
| Name the locus of points equidistant from two parallel lines |
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Definition
| the line parallel to each of the given lines and midway between them. (Theorem 49) |
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Term
| Name the locus of points a given distance from a given line |
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Definition
| two lines, one on either side of the given line, each parallel to the given line and the given distance from it. (Theorem 50) |
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Term
| Name the locus of points of a given distance from a given point |
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Definition
| the circle described with the given point as center and the given distance as radius (Theorem 51) |
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Term
| Name the locus of the centers of all circles tangent to a given line at a given point |
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Definition
| the perpendicular to that point (Theorem 52) |
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