 | Charles Smith - Conic sections - 1883 - 388 pages
...4), and (5, - 2) are equal to one another ; find the equation of its locus. Ans. x-3?/ = l. Ex. 2. A point moves so that the sum of the squares of its distances from the two fixed points (a, 0) and ( - a, 0) is constant (2c2) ; find the equation of its locus. Ans.... | |
 | Charles Smith - Geometry, Analytic - 1884 - 256 pages
...of the squares of whose distances from any number of given points is constant, is a sphere. Ex. 3. A point moves so that the sum of the squares of its distances from the six faces of a cube is constant ; shew that its locus is a sphere. Ex. 4. A, B are two fixed points,... | |
 | Simon Newcomb - Geometry, Analytic - 1884 - 462 pages
...11. What curve does p = a cos (6 — a) + b cos (d — ft) + c cos (d — y) + . . . represent? 12. A point moves so that the sum of the squares of its distances from the four sides of a rectangle is constant. Show that the locus of the point is a circle. 13. Given... | |
 | Charles Smith - Geometry, Analytic - 1886 - 268 pages
...of the squares of whose distances from any number of given points is constant, is a sphere. Ex. 3. A point moves so that the sum of the squares of its distances from the six faces of a cube is constant ; shew that its locus is a sphere. Ex. 4. A, B are two fixed points,... | |
 | George Albert Wentworth - Geometry, Analytic - 1886 - 346 pages
...distance from the axis of x is half its distance from the origin ; find the equation of its locus. 20. A point moves so that the sum of the squares of its distances from the two fixed points (a, 0) and ( — a, 0) is the constant 2k2; find the equation of its locus. 21.... | |
 | Arthur Le Sueur - Circle - 1886 - 120 pages
...through the origin, and having its centre on the axis of x, and the radius of which is equal to a. 6. A point moves so that the sum of the squares of its distances from the three angles of a triangle is constant. Prove that it moves along the circumference of a circle.... | |
 | George Russell Briggs - 1887 - 170 pages
...b/tween the lines Ax + By + C = o and A1 x + B' y + C1 — o are Ax + JSy+C = ± A'x + B'y+C1 ~ ~ (L/) A point moves so that the sum of the squares of its distances from the four sides of a given square is constant ; show that the locus of the point is a circle ; find... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...equal to the sum of the squares on its diagonals the quadrilateral is a parallelogram. Ex. 511. — A point moves so that the sum of the squares of its distances from four given points is constant Show that its locus is a circle. Ex. 512. — The sum of the squares... | |
 | De Volson Wood - Geometry, Analytic - 1890 - 372 pages
...the intersection of AP and BQ is a circle whose centre is in the given circle, and radius is V%R. 35. A point moves so that the sum of the squares of its distances from the four sides of a square is constant; show that the locus of the point is a circle. 36. Show that... | |
 | W. J. Johnston - Geometry, Analytic - 1893 - 462 pages
...centre is the mean centre of the given points. 10. If rni PA2 + ТЦ PB2 + m3 PC2 + &c- = constant, 11. A point moves so that the sum of the squares of its distances from the sides of a regular polygon is constant : show that its locus is a circle. [Equation to locus is... | |
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A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant. 
