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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.
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 70
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages

## The Elements of Coördinate Geometry: In Three Parts and an Appendix

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...

## The Harpur Euclid: An Edition of Euclid's Elements

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...

## An Elementary Treatise on Analytical Geometry: With Numerous Examples

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...

## Exercises in Wentworth's Analytic Geometry: With Solutions

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...

## Elements of Geometry

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....

## The Elements of Coordinate Geometry

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...

## Plane and Solid Analytic Geometry

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...

## The Elements of Coordinate Geometry: Pt. 1. The Equations and Properties of ...

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...