| 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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