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" Find the locus of a point such that the difference of the squares of its distances from two given points is equal to a given constant k-. "
Solid Geometry Developed by the Syllabus Method - Page 267
by Eugene Randolph Smith, William Henry Metzler - 1918 - 211 pages
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An Introduction to Analytical Plane Geometry

W. P. Turnbull - Geometry, Analytic - 1867 - 276 pages
...equation is satisfied by the co-ordinates of F. That is, F lies on the line a/3. (3) A point moves so that the difference of the squares of its distances from two given points is constant. Find the locus of the point. Take the line joining the two given points A, B for...
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An Introduction to Analytical Plane Geometry

William Peveril Turnbull - Geometry, Analytic - 1867 - 298 pages
...equation is satisfied by the co-ordinates of F. That is, F lies on the line aft. (3) A point moves so that the difference of the squares of its distances from two given points is constant. Find the locus of the point. Take the line joining the two given points A, B for...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...the squares of its distances from two given points is equal to a given constant, k*. (III. 62.) 175. Find the locus of a point such that the difference of the squares of its distances from two given points is equal to a given constant k-. (III. 62. ) 176. If A, B and C are three given points in the...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...squares of its distances from two given points is equal to a given constant, k 2 . (III. 62.) 175. Find the locus of a point such that the difference of the squares of its distances from two given points is equal to a given constant k-. (III. 62.) 176. If A, B and C are three given points in the...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...point such that the sum of its distances from two given planes is equal to a given straight line. 306. Locus of a point such that the difference of the squares of its distances from two given points is equal to a given constant. 307. Locus of a point in a given plane such that the difference...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...between AQ and the distance of the focus from the directrix, prove that the locus of P is an ellipse. B. Find the locus of a point such that the difference of the squares of its shortest distances from two given non-intersecting straight lines is constant. •C. If any group consisting...
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Euclid simplified. Compiled from the most important French works, approved ...

John Reynell Morell - 1875 - 220 pages
...the projection of the medial line of this last side on its direction. The geometrical locus of the point, such that the difference of the squares of its distances from two fixed points is constant, is a straight line perpendicular to that which joins the fixed points. 110....
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 pages
...points is the surface of a sphere whose diameter is the distance between the points. THEOREM VII. 14. The locus of a point such that the difference of the squares of its distances from two given points is equal to the square of the distance between the points is a line through either of the points...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...points is the surface of a sphere whose diameter is the distance between the points. THEOREM VII. 14i The locus of a point such that the difference of the squares of its distances from two given points is equal to the square of the distance between the points is a line through either of the points...
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Wentworth & Hill's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1884 - 264 pages
...point. Special case: AB = 4 inches, V — 100. , a constant quantity. 0, -• B Fig. 71. Fig. 72. 10. To find the locus of a point such that the difference of the squares of its distances from two given points A, B is constant. The locus consists of two straight lines perpendicular to the line AB. If...
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