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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 "
Plane Geometry - Page 164
by Edith Long, William Charles Brenke - 1916 - 276 pages
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The Elements of Geometry

Walter Nelson Bush, John Bernard Clarke - Geometry - 1909 - 376 pages
...hydrants that may be placed in a park so as to be equidistant from two intersecting straight paths ? The locus of a point at a given distance from a given line consists of two parallels to the given line, one on each side, at a given distance from the line. Ex. By what axiom...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...§232.) Ex. 280. Find the locus of a point at a given distance from a given finite line AB. Ex. 281. Find the locus of a point at a given distance from a given line and also equidistant from the ends of another given line. PROPOSITION XXXIV. THEOREM .-$. (Converse...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...parallel to the other two sides, and terminated by those sides, are equal. (See § 232.) Ex. 280. Find the locus of a point at a given distance from a given finite line A3. Ex. 281. Find the locus of a point at a given distance from a given line and also equidistant...
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...parallel to the other two sides, and terminated by those sides, are equal. (See §232.) Ex. 280. Find the locus of a point at a given distance from a given finite line AB. Ex. 281. Find the locus of a point at a given distance from a given line and also equidistant...
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Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...radius equals \ in., and that touches a given circle (radius I in.) externally. LOCUS THEOREMS 262. 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. For (a) every...
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Solid Geometry

George C. Shutts - 1913 - 212 pages
...any line parallel to the given line and not in the plane is parallel to the plane also. 48. What is the locus of a point at a given distance from a given plane? 483. DIHEDRAL ANGLE. Two planes which meet or intersect form a dihedral angle. The two planes...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...What is the locus of a point in a plane at a given distance from a given line in the plane ? What is the locus of a point at a given distance from a given plane ? 6. The line AB cuts three parallel planes in the points A, E, B ; and the line CD cuts these...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...radius equals J in., and that touches a given circle (radius 1 in.) externally. LOCUS THEOREMS 262. 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. For (a) every...
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Plane Geometry

John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...described from that point as a center, with a radius equal to the given distance. § 18 319. THEOREM. The locus of a point at a given distance from a given straight line is a pair of straight lines on opposite sides of the given line, parallel to it, and...
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Second-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...the given point and whose radius is equal to the given distance. 4. The locus of points in a plane at a given distance from a given line consists of a pair of lines parallel to the given line and the given distance from it. 5. The locus of points in space equidistant...
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