 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
...if the "constant difference " be denoted by /:, we find for the locus 4 ax = k or 4 ax = — k. 13. 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. Hint. Choose axes as in problem 12.... | |
 | Albert Luther Candy - Geometry, Analytic - 1904 - 288 pages
...squares of its distances from the axes is constant (a2) ? •J 13. Find the locus of a point which moves so that the sum of the squares of its distances from the points (a, 0) and (— а, 0) is constant (2 c2). 14. Find the locus of a point which moves so... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1905 - 240 pages
...if the "constant difference " be denoted by k, we find for the locus 4 аж = A or 4 ax = — *. 13. 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. Hint. Choose axes as in problem 12.... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...LG- = 2 LH2 + 2 GJf 2. (Why ?) iff2 + LM2 = 2 it? -(- 2 CJ/2. (Add, and combine terms.) Ex. 43. If L moves so that the sum of the squares of its distances from A, B, and C = a given square ; that is, so that LA2 + LI? + LCT- equals, say i <?2i what is the center... | |
 | William Meath Baker - Conic sections - 1906 - 363 pages
...-- 4:X - 6y = 0 is always equal to 2\/3. Find the equation of, and draw the locus of the point. 4. A point moves so that the sum of the squares of its distances from the angular points of a square is constant. Prove that its locus is a circle. 5. A point P moves so... | |
 | William Henry Maltbie - Geometry, Analytic - 1906 - 156 pages
...comparison of the result with that of problem 3 give any hint as to the nature of the curve? 6. Show that if a point moves so that the sum of the squares of its distances from three fixed points is constant, the equation of its path will always be of the second degree, will... | |
 | Frederick Shenstone Woods, Frederick Harold Bailey - Mathematics - 1907 - 408 pages
...sum of the squares of its distances from the four sides of a square is constant. Find its locus. 81. A point moves so that the sum of the squares of its distances from any number of fixed points is constant. Find its locus. 82. Find the locus of a point the square of the distance... | |
 | Charlotte Angas Scott - Conic sections - 1907 - 452 pages
...[Suggestion. If P be any point on the line, use formulae of § 12 to prove — 2 (OP2 + OA2 - AP2) = 0.] 5. A point moves so that the sum of the squares of its distances from a number of points A, B, C, etc., has a constant value. Prove that it remains at -a constant distance... | |
 | University of Oxford - 1907 - 160 pages
...lines meeting at F. Prove that AF bisects the angle ВАС. 4. (6) 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 area. 7. A, B, C, D are the vertices taken in order of a quadrilateral... | |
 | Great Britain. Scottish Education Department - Education - 1908 - 1232 pages
....<•, equidistant from the origin 0, and AtifJ is an equilateral triangle. Show that a point, which moves so that the sum of the squares of its distances from the sides of the triangle is :.\OA-, describes a circle. Find the radius, and ihe oo ordinates of the... | |
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A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant. 
