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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 - Σελίδα 219
των Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 280 σελίδες
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 σελίδες
...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...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 382 σελίδες
...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...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 382 σελίδες
...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...

Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 σελίδες
...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...

Euclid simplified. Compiled from the most important French works, approved ...

John Reynell Morell - 1875 - 220 σελίδες
...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...

An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - 1877 - 262 σελίδες
...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...

Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 σελίδες
...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....

An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - 1880 - 260 σελίδες
...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...

Wentworth & Hill's Exercise Manuals: Geometry, Τεύχος 3

George Albert Wentworth - 1884 - 264 σελίδες
...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....

The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884 - 150 σελίδες
...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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