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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. "
Plane Geometry - Page 166
by Edith Long, William Charles Brenke - 1916 - 276 pages
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...may sometimes be more convenient to demonstrate the contrapositive of either of these Theorems. i. The locus of a point at a given distance from a given point is the circumference of a circle having a radius equal to the given distance and its centre at...
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 pages
...the sides of an angle is a line bisecting this angle. For demonstration see (I. 103). THEOREM III. 8. The locus of a point at a given distance from a given point is the circumference of a circle described from the given point as a centre with the given distance...
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Elementary geometry

James Maurice Wilson - 1878 - 450 pages
...a circle having a radius equal to the- given distance and having its centre at the given point. ii. The locus of a point at a given distance from a given straight line is the pair of straight lines parallel to the given line, at the given distance from...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...the sides of an angle is a line bisecting this angle. For demonstration see (I. 103). THEOREM III. 8. The locus of a point at a given distance from a given point is the circumference of a circle described from the given point as a centre with the given distance...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...may sometimes be more convenient to demonstrate the contrapositive of either of these Theorems. i. The locus of a point at a given distance from a given point is the circumference of a circle having a radius equal to the given distance and its centre at...
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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...(Th. IX.) 9. Find the locus of the centres of all circles that pass through two fixed points. 10. Find the locus of a point at a given distance from a given circle. 11. Find the locus of a point equidistant from two intersecting straight lines. DEFINITIONS....
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...from a given line. The locus of a point at a given distance from a given point is a circle (Loci 2). The locus of a point at a given distance from a given Hue is a pair of lines || the given line at the given distance from it (Loci 3). If the circle and...
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The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...satisfy A, and instead of (2) that If a point does not satisfy A, it is not upon X. LOCUS i. To find the locus of a point at a given distance from a given point. Let A be the given point, B the given distance : it is required to find the locus of a point...
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A Geometry for Beginners

George Anthony Hill - 1884 - 350 pages
...second case, the plane perpendicular to the line which joins the given points, and bisecting it. 2. Find the locus of a point at a given distance from a given straight line. 3. Find the locus of a point at a given distance from a given circumference. 4. Find...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...Hence the circumference CDE is the locus of a point at a distance from A equal to B. LOCUS ii. To find the locus of a point at a given distance from a given straight line. Let D be the given distance, and AB the given straight line : it is required to find...
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