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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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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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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 264 pages
...EOF is also constant. Loci. 130. Find the locus of a point at three inches from a given point. 131. Find the locus of a point at a given distance from a given circumference. 132. Prove that the locus of the vertex of a right triangle, having a given hypotenuse...
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Examinations Papers

1889 - 586 pages
...Nanson. Candidates must answer satisfactorily In each of the three divisions of this paper. I. — 1. Find the locus of a point at a given distance from a given straight line. Find the points which are at a given distance from a given straight line, and are also...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...parallel to the side of the other. Ex. 71. — State and prove a converse of this proposition. Ex. 72.— The locus of a point at a given distance from a given straight line is a pair of parallels on opposite sides of the given straight line. Consult the notes...
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An Inductive Manual of the Straight Line and the Circle: With Many Exercises

William John Meyers - Geometry - 1894 - 133 pages
...a point on a tangent to a given circle and at a given distance from the point of tangency. 730. — Find the locus of a point at a given distance from a given circle. 731.— Draw a sect of given length which shall be parallel to a given line and have its extremities...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 412 pages
...point A fall with respect to arc CE? Why ? 2. Where does line О A fall ? Why ? Therefore — Ex. ico. The locus of a point at a given distance from a given point is the circumference of a. circle, drawn with the given point as a center and with the length of the...
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...planes intersect two parallel planes the four lines of intersection are parallel. Ex. 268. What is the locus of a point at a given distance from a given plane ? Ex. 269. A straight line and a plane perpendicular to the same straight line are parallel....
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An Inductive Manual of the Straight Line and the Circle: With Many Exercises

William John Meyers - Geometry - 1894 - 140 pages
...the various points of a given line from another line to which the first is parallel ? 178.—What is the locus of a point at a given distance from a given line? 179.—If two parallels cut a circle what relation exists between the chords of the arcs intercepted...
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Exercises in Wentworth's Geometry: With Solutions

George Albert Wentworth - Geometry - 1896 - 296 pages
...circumference of a O described with the given point for centre, and with a radius equal to 3 inches. Ex. 131. Find the locus of a point at a given distance from a given circumference. Ans. Let r denote the radius of the given circumference, O its centre, d the given distance....
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...Find the locus of a point at a given distance from an indefinite straight line. 013. Exercise. — Find the locus of a point at a given distance from a straight line of definite length. 014. Exercise. — Find the locus of a point whose distance from...
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