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" Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant. "
Plane Geometry: With Problems and Applications - Side 227
av Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 280 sider
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 sider
...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...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 382 sider
...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...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 382 sider
...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 sider
...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 sider
...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. Draw through...
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - 1877 - 262 sider
...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...
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 sider
...squares shall be to each other as two given lines. Ex. 368. Find the locus of a point which moves so that the difference of the squares of its distances from two fixed points is always equal to a given square. Ex. 369. Construct on the diagonal of a given rectangle an equal rectangle....
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - 1880 - 260 sider
...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...
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Wentworth & Hill's Exercise Manuals: Geometry, Utgave 3

George Albert Wentworth - 1884 - 264 sider
...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....
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884 - 150 sider
...that the sum of the squares on its distances from two given points may be equal to a given square. 53. Find the locus of a point such that the difference of the squares on its distances from two given points may be equal to a given square. DEFINITIONS OF BOOK II. DEF....
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