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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. "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 70
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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Analytic Geometry, a First Course

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...
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Algebraic Geometry: A New Treatise on Analytical Conic Sections

William Martin Baker, 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...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...point from which a given straight line is seen at a given angle. 796 Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be constant. 797 Find the locus of a point which divides all chords of a given circle into segments...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...point from which a given straight line is seen at a given angle. 796 Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be constant. 797 Find the locus of a point which divides all chords of a given circle into segments...
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Responsions Papers in Stated Subjects (exclusive of Books), 1901-1906: With ...

University of Oxford, Charles Abdy Marcon - 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 formed by four...
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Cartesian Plane Geometry, Volume 1

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...
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Report of the Committee of Council on Education in Scotland...[without Appendix]

Education - 1908 - 1184 pages
...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...
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Education in Scotland

Great Britain. Scottish Education Department - Education - 1908 - 1236 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 Course in Mathematics: Algebraic equations, functions of one variable ...

Frederick Shenstone Woods, Frederick Harold Bailey - Mathematics - 1907 - 412 pages
...sides. Show that the locus is a circle which passes through the vertices of the two base angles. 80. A point moves so that the 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...
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Calendar, for the Year ...

1910 - 322 pages
...are each double of F, and if the bisector of the angle G meets FH in K, prove that FK = GK = GH. (b) A point moves so that the sum of the squares of its...is a circle, having for centre the midpoint of AB. (c) The tangent to a circle at P cuts two parallel tangents at Q, R ; prove that the rectangle QP....
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