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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

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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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...192. Summary of Chapter V. Loci of Points. Part I — Loci in General. General Discussion. Theorem I. The locus of a point at a given distance from a given fixed point is the circumference described about the fixed point as a center, with a radius equal to...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...is more than one, as in the case of the locus of a point equidistant from two intersecting lines or the locus of a point at a given distance from a given line. 1. What is the locus of the center of a circle whose radius is r : (a) that will touch a given...
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Solid Geometry

Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...through the center as axis. Find, in terms of a, the surface and volume generated. Describe Ex. 8. The locus of a point at a given distance from a given straight line. Ex. 9. The locus of a point whose distance from a given line is in a given ratio to...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...radius equals \ 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 point...
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Solid Geometry

Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...cone. Ex. 1156. Find the locus of a point at a given distance from a given straight line. . Ex. 1157. Find the locus of a point at a given distance from a given cylindrical surface. Ex. 1158. Find the locus of a line which makes a given angle with a given line...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...radius equals \ 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 point...
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Junior High School Mathematics: 1st-3d Book, Book 3, Part 2

Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...12. Find the locus of the center of a circle of a given radius tangent to a given straight line. 13. Find the locus of a point at a given distance from a given line. 14. A line of fixed length moves so that its ends touch two fixed lines at right angles to each...
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...points equidistant from two points is the perpendicular bisector of the segment joining the two points. The locus of a point at a given distance from a given line is a pair of lines, one on each side of the given line, parallel to the given line and at the...
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