| Thomas Kimber - 1880 - 176 pages
...the radius of which is equal to a. Interpret each of the equations а? + y* = 0 and of — y* = 0. **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.... | |
| Edward Albert Bowser - Geometry, Analytic - 1880 - 334 pages
...vertex. [Take the base and a perpendicular through its centre for axes.] Ans. ж2 + у2 = s2 — m2. 23. **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. 24. Find the... | |
| 1882 - 376 pages
...straight lines. 9. Inscribe a regular pentagon in a given circle. 10. Find the locus of a point which **moves so that the sum of the squares of its distances from** four given points is constant. What is the least possible value of this constant. ANSWEES TO THE GEOMETRY... | |
| 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 - 258 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... | |
| 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.... | |
| 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.... | |
| 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... | |
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