| Arthur Le Sueur - 1886 - 120 páginas
...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 - 1886 - 268 páginas
...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 Russell Briggs - 1887 - 170 páginas
...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... | |
| De Volson Wood - 1890 - 372 páginas
...the intersection of AP and BQ is a circle whose centre is in the given circle, and radius is V%R. 35. 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. 36. Show that... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 páginas
...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 - 1893 - 462 páginas
...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 páginas
...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... | |
| Sidney Luxton Loney - 1896 - 447 páginas
...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 - 1897 - 392 páginas
...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 páginas
...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... | |
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