 | 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... | |
 | Frederick Shenstone Woods, Frederick Harold Bailey - Calculus - 1917 - 542 pages
...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 distance... | |
 | 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 in terms of... | |
 | 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.... | |
 | 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... | |
 | Maria M. Roberts, Julia Trueman Colpitts - Geometry, Analytic - 1918 - 266 pages
...the above prbblem take the rr-axis through the two points with the origin halfway between them. (6) A point moves so that the sum of the squares of its distances from the four sides of a square is constant. (c) A point moves so that the square of its distance from the... | |
 | George Alexander Gibson, Peter Pinkerton - Geometry, Analytic - 1919 - 510 pages
...± (a - b)y cot a. = 0, and assign each locus to its equation. Draw the loci. 12. A variable point P moves so that the sum of the squares of its distances from the points (2, 0), ( - 2, 0) is 16 ; prove that the locus of P is a circle, eentre the origin, radius... | |
 | Reginald Charles Fawdry - Coordinates - 1921 - 236 pages
...referred to O" as origin, and OA, OB as axes. Prove that P lies on ait ell1pse, and find its equation. 20. A point moves so that the sum of the squares of its distances from two given sides of an equilateral triangle is constant and equals 2c2. Prove the locus is an ellipse... | |
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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. 
