 | Philip Kelland - 1873 - 248 pages
...given sphere : a point Q is taken in OP so that OP.OQ = k'. Prove that the locus of Q is a sphere. 11. A point moves so that the sum of the squares of its distances from a number of given points is constant. Prove that its locus is a sphere. 12. A sphere touches each of... | |
 | Philip Kelland, Peter Guthrie Tait - Quaternions - 1873 - 254 pages
...constant. Prove that its locus is either a plane or a. sphere. EX. 11.] ADDITIONAL EXAMPLES. 89 11. A point moves so that the sum of the squares of its distances from a number of given points is constant. Prove that its locus is a sphere. 12. A sphere touches each of... | |
 | John Reynell Morell - 1875 - 220 pages
...of the circumference and of the secants is constant. 108. The geometrical locus of the point, such that the sum of the squares of its distances from two fixed points is constant, is a circumference of which the centre coincides with the middle of the straight line... | |
 | James White - Conic sections - 1878 - 160 pages
...examples the base is taken as axis of x, and a perpendicular through its middle point as axis of y. 13. A point moves so that the sum of the squares of its distances from the sides of a square, or from the angles of a square, are constant; shew that in both cases the loci... | |
 | J. G - 1878 - 408 pages
...from the four sides of a square is constant. Show that the locus of the point ii a circle. Ex. 12. A point moves so that the sum of the squares of its distances from the sides of an equilateral triangle is constant. Sliaw that the locus of the point it a circle. Ex.... | |
 | James Maurice Wilson - 1878 - 450 pages
...area, and one of the angles at the base, construct the triangle. 5. Find the locus of 'a point which moves so that the sum of the squares of its distances from two given points is constant. We subjoin a few problems and theorems as miscellaneous exercises in the... | |
 | Civil service - 1878 - 228 pages
...geometrically, that A Yj and AYa are together equal to the distance of P from the axis. 5. A straight line moves so that the sum of the squares of its distances from the two points A and B at a distance 2a apart is equal to rf2. Prove, either analytically or geometrically,... | |
 | Joseph Wolstenholme - Mathematics - 1878 - 538 pages
...satisfied and a fixed plane be drawn perpendicular to each straight line, the locus of a point which moves so that the sum of the squares of its distances from the planes is constant will be a sphere having a fixed centre 0 which is the centre of inertia of equal... | |
 | De Volson Wood - Geometry, Analytic - 1882 - 360 pages
...the intersection of AP and BQ is a circle whose centre is in the given circle, and radius is VZR. 85. 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. 30. Show that... | |
 | Charles Mansford - 1879 - 112 pages
...distances from two fixed lines is a constant given length. (34.) 187. To find the locus of a point, such that the sum of the squares of its distances from two fixed points is constant, (ii. 13.) 188. To draw a line through a given point between the legs of an angle, so that... | |
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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. 
