 | William Chauvenet - 1871 - 382 páginas
...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... | |
 | William Chauvenet - 1872 - 382 páginas
...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... | |
 | William Chauvenet - 1872 - 382 páginas
...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... | |
 | Braithwaite Arnett - 1874 - 130 páginas
...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... | |
 | John Reynell Morell - 1875 - 220 páginas
...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... | |
 | William Frothingham Bradbury - 1877 - 264 páginas
...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... | |
 | George Albert Wentworth - 1879 - 196 páginas
...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.... | |
 | William Frothingham Bradbury - 1880 - 260 páginas
...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... | |
 | George Albert Wentworth - 1884 - 264 páginas
...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.... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 páginas
...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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Find the locus of a point such that the difference of the squares of its distances from two fixed points is a constant. 
