| De Volson Wood - Geometry, Analytic - 1890 - 372 pages
...the sum of the squares of its distances from the sides of an equilateral triangle is constant. 37. If **a point moves so that the sum of the squares of its distances from** any number of fixed points is constant, show that the locus will be a circle. 38. Find the equation... | |
| 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... | |
| 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... | |
| George Albert Wentworth - 1894 - 362 pages
...XO, OP = 2MP=2y. Substituting these values in (1), we have or 3y2 = x2, as the required equation. 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 2£2; find the equation of its locus. Let... | |
| George Cunningham Edwards - Geometry - 1895 - 324 pages
...ratio of ,vv*""* ^ their distances from two given points is 1. Vv^'v • 36. Locate a point in a plane **so that the sum of the squares of its distances from two** given points not in the plane, is fixed ; and its distance from a given line of the plane is also fixed.... | |
| Sidney Luxton Loney - Coordinates - 1896 - 447 pages
...from it on the sides of an equilateral triangle is constant ; prove that its locus is a circle. 3. **A point moves so that the sum of the squares of its distances from** the angular points of a triangle is constant ; prove that its locus is a circle. 4. Find the locus... | |
| Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...tangent from it to a fixed circle is always equal to its distance from a fixed point. Find the locus. 95. **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 is a circle. 96. A point moves so that... | |
| William Briggs - 1897 - 286 pages
...the radius of which ii equal to a. [I860.] 22. Interpret the equations * 0 and z'-y' - 0. [I860.] 23. **A point moves so that the sum of the squares of its** dutancer from the three angles of a triangle is constant. Prove that it moy»r along the circumference... | |
| Education - 1899 - 824 pages
...points cuts off a segment containing an angle a. G Prove analytically that the locus of a point, which **moves so that the sum of the squares of its distances from two** given points is constant, ia a circle whose centre bisects the straight line joining the two given... | |
| Charles Hamilton Ashton - Geometry, Analytic - 1900 - 294 pages
...the sunl of the squares of whose distances from any number of points-* is constant, is a sphere. 3. **A point moves so that the sum of the squares of its distances from** the six faces of a cube is constant ; show that its locus is a sphere. 4. A and B are two fixed points,... | |
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