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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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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...circumference of a circle having a radius equal to the given distance and 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 : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 pages
...given points 1 20. What is the locus of a point equally distant from three given planes 1 21 1 What is the locus of a point at a given distance from a given line? 22. What is the locus of a point at a given distance from two given parallel lines ? 23. What...
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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
...given points't 20i What is the locus of a point equally distant from three given planes 1 21 i What is the locus of a point at a given distance from a given line? 22. What is the locus of a point at a given distance from two given parallel lines 1 '23. What...
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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...point. (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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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...circumference of a circle having a radius equal to the given distance and 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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Annals of Mathematics

Mathematics - 1921 - 822 pages
...possible to carry the triangle by a congruent collineation into a real triangle. 3. Hyperconics. Let us find the locus of a point at a given distance from a given point (?/). In the elliptic case we have, clearly (xy)(xy) - cos2 d(xx}(yy) = 0, and in the parabolic one...
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The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...B. 86 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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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...Ex. 1. Find the locus of a point having the property (or fulfilling the condition) of being situated at a given distance from a given point. Let A be the given point, and suppose B, C, D, &e. to be points on the locus. Join AB, AC, AD, &c. / / .\C Then AB = AC = AD...
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