| Linnaeus Wayland Dowling, Frederick Eugene Turneaure - Geometry, Analytic - 1914 - 294 pages
...distances from the points (8, 0) and (2, 0) is constantly equal to 2. Find the equation of the locus. 8. **A point moves so that the sum of the squares of its distances from** (3, 0) and (— 3, 0) is constantly equal to 08. Find the equation of the locus. 9. A circle circumscribes... | |
| Maxime Bôcher - Geometry, Analytic - 1915 - 258 pages
...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 fixed points as axis... | |
| Henry Bayard Phillips - Geometry, Analytic - 1915 - 220 pages
...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 - Geometry, Analytic - 1915 - 266 pages
...fixed points. If «2< c2, there is no locus; that is, it is impossible for a point to be so situated **that the sum of the squares of its distances from two fixed points** should be less than twice the square of half the segment connecting them. Example 2. To find the locus... | |
| Charles Smith - Conic sections - 1916 - 466 pages
...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 - Functions - 1917 - 584 pages
...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 - 1917 - 562 pages
...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.... | |
| John Wesley Young, Frank Millett Morgan - Functions - 1917 - 586 pages
...that any angle inscribed in a semicircle is a right angle. 6. Prove that the locus of a point which **moves so that the sum of the squares of its distances from** any number of fixed points is constant is a circle. Find the coordinates of the center of this circle... | |
| Alfred Monroe Kenyon, William Vernon Lovitt - Mathematics - 1917 - 384 pages
...of its distances from the axes is constant (a2)? 12. Find the equation of the locus of a point which **moves so that the sum of the squares of its distances from** the three points (5, — 1), (3, 4), (-2, - 3) is always 64. Ans. xl + y2 - 4z = 0. 13. Find the equation... | |
| Raymond Benedict McClenon - Functions - 1918 - 264 pages
...choose the X- and F-axes in a convenient position with reference to the given points or lines. 20. **A point moves so that the sum of the squares of its distances from two fixed points** is constant. 21. A point moves so that the ratio of its distances from two fixed points is a constant... | |
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