 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1905 - 240 pages
..."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... | |
 | 1906 - 502 pages
...that the difference between the squares on the tangents equals twice the rectangle AH . MN. Q. 26. Find the locus of a point which moves so that the sum of tho squares of its distances from two fixed points is constant. Construct the locus to scale when the... | |
 | William Meath Baker - Conic sections - 1906 - 363 pages
...and on the same side of the line as the origin. Take A, B, and C as positive quantities. 7. Show that the locus of a point, which moves so that the sum of its perpendicular distances from two given intersecting straight lines is constant, is a straight line.... | |
 | William Henry Maltbie - Geometry, Analytic - 1906 - 156 pages
...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... | |
 | University of Oxford - 1907 - 160 pages
...ВСЕ are bisected by two straight 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... | |
 | Frederick Shenstone Woods, Frederick Harold Bailey - Mathematics - 1907 - 424 pages
...locus of points equally distant from the lines 2x + 3y — 6 = 0 and 3x -2y + 1 = 0. 75. Show that the locus of a point which moves so that the sum of its distances from two fixed straight lines is constant is a straight line. 76. Find the equations... | |
 | Charlotte Angas Scott - Conic sections - 1907 - 452 pages
...eccentricity, with one of the foci and the corresponding directrix. 22 3. Prove that the ellipse ^ + ^ = 1 is the locus of a point which moves so that the sum of its distances from the two foci is equal to the major axis. Explain the particular case that arises... | |
 | Education - 1908 - 1176 pages
...on the axis of jr, equidistant from the origin 0, and /1/.V/ js an eqnilatural 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 the oo ordinates of the... | |
 | Great Britain. Scottish Education Department - Education - 1908 - 1232 pages
...on the axis of .<•, 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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Find the locus of a point, the distances of which from two given straight lines have a fixed ratio. 143. Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from... 
