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" The locus of a point at a given distance from a given point is the circumference described from the point with the given distance as radius. "
The Elements of Plane Geometry ... - Page 85
by Association for the improvement of geometrical teaching - 1884
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Plane Geometry

George D. Pettee - Geometry, Modern - 1896 - 272 pages
...equidistant from two lines which are not parallel is the bisector of the angle between the lines. 3. The locus of a point at a given distance from a given straight line is a pair of parallels to the given line, one on either side of the line, and at the...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...Find the locus of a point at a given distance from an indefinite straight line. 8X1. Exercise. — Find the locus of a point at a given distance from a straight line of definite length. 832. Exercise. — Find the locus of a point whose distance from...
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Key to Milne's Plane and Solid Geometry

William James Milne - Geometry - 1899 - 326 pages
...equidistant from two parallel straight lines is a line parallel to them and midway between them. Ex. 372. Find the locus of a point at a given distance from a given straight line. Solution. Since, 151, parallel lines are everywhere equally distant, the two lines...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 pages
...and draw a parallel to EF at the distance CD, the given altitude. PROBLEMS OF CONSTRUCTION. Ex. 149. Find the locus of a point at a given distance from a given circumference. Find the locus of the centre of a circle : Ex. 150. Which has a given radius r and passes...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...and draw a parallel to EF at the distance CD, the given altitude. PROBLEMS OF CONSTRUCTION. Ex. 149. Find the locus of a point at a given distance from a given circumference. Find the locus of the centre of a circle: Ex. 150. Which has a given radius r and passes...
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...In this and the next four paragraphs the lines mentioned may be either straight or curved. Ex. 372. Find the locus of a point at a given distance from a given straight line. Ex. 373. Find a point which is equidistant from three given points not in the same straight...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...or group of lines containing all the points which possess a common property, and no others. Ex. 120. Find the locus of a point at a given distance from a given straight line. Ex. 121. Find the locus of a point equidistant from two given parallel lines. Ex. 122.'...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 404 pages
...given point, Ex. 371. Find the locus of a point equidistant from two parallel straight lines. Ex. 372. Find the locus of a point at a given distance from a given straight line. Ex. 373. Find a point which is equidistant from three given points not in the same straight...
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Plane Geometry

Arthur Schultze - 1901 - 260 pages
...a point equidistant from the ends of a given line is the perpendicular-bisector of that line. 249. The locus of a point at a given distance from a given point is the circumference described from the point with the given distance as radius. 250. The locus of...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...a point equidistant from the ends of a given line is the perpendicular-bisector of that line. 249. The locus of a point at a given distance from a given point is the circumference described from the point with the' given distance as radius. 250. The locus of...
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