| University of Calcutta - 1912 - 746 páginas
...may be collinear. 2. Define a circle. From your definition obtain the general equation of the circle. A point moves so that the sum of the squares of its distances from the four sides of a square is constant; prove that the locus is a circle. Determine the centre and... | |
| Charles Godfrey, Arthur Warry Siddons - 1912 - 190 páginas
...generalized theorem, of which Apollonius' theorem is a particular case. Also compare Ex. 27.) Ex. 0O. A point moves so that the sum of the squares of its distances from two fixed points A, B remains constant ; prove that its locus is a circle. Ex. 31. The sum of the squares... | |
| Percey Franklyn Smith, Arthur Sullivan Gale - 1912 - 364 páginas
...equations in the problem. In such cases always choose the axes in the most convenient manner possible. 8. A point moves so that the sum of the squares of its distances from two fixed points is constant. Prove that the locus is a circle. 9. A point moves so that the sum of... | |
| Linnaeus Wayland Dowling, Frederick Eugene Turneaure - 1914 - 294 páginas
...which passes through the points (5, — 3) and (0, 6) and has its center on the line 2.r-3j/-6 = 0. 3. A point moves so that the sum of the squares of its distances from two fixed points is constant. Prove that the locus is a circle. 4. A point moves so that the ratio... | |
| Henry Bayard Phillips - 1915 - 220 páginas
...Find its locus. 3. In a triangle ABC, A and В are fixed. Find the locus of C, if A - В = \ т. 4. A point moves So that the sum of the squares of its distances from the three sides of an equilateral triangle is equal to the square of one side of the triangle. Find... | |
| Maxime Bôcher - 1915 - 258 páginas
...many other cases. We illustrate this by two examples. Example 1. To find the locus of a point which moves so that the sum of the squares of its distances from two fixed points is a constant, which we will call 2 a 2 . Let us take the line connecting the two... | |
| Charles Smith - 1916 - 466 páginas
...varies as its perpendicular distance from a fixed straight line ; shew that it describes a circle. ix 2. A point moves so that the sum of the squares of its distances from the four sides of a square is constant ; shew that the locus of the point is a circle. 3. The locus... | |
| John Wesley Young, Frank Millett Morgan - 1917 - 584 páginas
...respect to the circles of a pencil pass through a fixed point, unless P is on the line of centers. 13. A point moves so that the sum of the squares of its distances from the sides of a given square is constant. Show that its locus is a circle. 14. A point P moves so that... | |
| Frederick Shenstone Woods, Frederick Harold Bailey - 1917 - 542 páginas
...sum of the squares of its distances from the four sides of a square is constant. Find its locus. 123. A point moves so that the sum of the squares of its distances from any number of fixed points is constant. Find its locus. 124. Find the locus of a point the square of the... | |
| Frederick Shenstone Woods - 1917 - 562 páginas
...two fixed points are in a constant ratio k. Show that the locus is a circle except when k = 1. 120. A point moves so that the sum of the squares of its distances from the sides of an equilateral triangle is constant. Show that the locus is a circle and find its center.... | |
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