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Livros Livros 1 - 10 de 131 sobre A point moves so that the sum of the squares of its distances from the four sides....
" A point moves so that the sum of the squares of its distances from the four sides of a square is constant. "
Elements of analytic geometry - Página 81
de Simon Newcomb - 1885 - 356 páginas
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A treatise on plane co-ordinate geometry

Isaac Todhunter - 1855 - 299 páginas
...from it on these n lines is constant ; find the conditions that the locus of P may be a circle. 31. A point moves so that the sum of the squares of its distances from the sides of a regular polygon is constant ; shew that the locus of the point is a circle. 32. A line moves...
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A treatise on plane co-ordinate geometry

1855 - 299 páginas
...the sides of an equilateral triangle is constant ; shew that the locus of the point is a circle. 13. A point moves so that the sum of the squares of its distances from any given number of fixed points is constant ; shew that the locus is a circle. 14. Shew what the equation...
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A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ...

Isaac Todhunter - 1858
...the sides of an equilateral triangle is constant ; shew that the locus of the point is a circle. 13. A point moves so that the sum of the squares of its distances from any given number of fixed points is constant ; shew that the locus is a circle. 14. Shew what the equation...
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Mathematical Questions with Their Solutions, from the "Educational Times"...

1864
...Prove that the tangents at the vertices of the paraholas thus descrihed intersect in a point, such that the sum of the squares of its distances from the four given points is equal to the square of the diameter of the circle 34 1435. Show how to find the area...
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Mathematical Questions and Solutions

1864
...Prove that the tangents at the vertices of the parabolas thus describee intersect in a point, such that the sum of the squares of its distances from the four given points is eqnnl to the square of the diameter of the circle. Solution by the PROPOSER. Let ABC1,)...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - 1865 - 192 páginas
...the radius of which is equal to a. Interpret each of the equations я? + y* = 0 and x* — y* = 0. A point moves so that the sum of the squares of its distances from the three angles of a triangle is constant. Prove that it moves along the circumference of a circle. 15....
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Trilinear Coordinates and Other Methods of Modern Analytical Geometry of Two ...

William Allen Whitworth - 1866 - 506 páginas
...right lines, the polar of any point whatever passes through the intersection of the right lines. (148) A point moves so that the sum of the squares of its distances from n given straight lines is constant. Shew that it will describe a conic section. (149) If all but one...
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AN INTRODUCTION TO ANALYTICAL PLANE GEOMETRY

W. P. TURNBULL, M.A. - 1867
...from two other points # 3 y 3 , x 4 y 4 . Prove that the locus of the point is the straight line 32. A point moves so that the sum of the squares of its distances from n given points = the sum of the squares of its distances from n other given points. Find the locus...
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Elementary geometry

James Maurice Wilson - 1869
...intersect in the line which joins the middle point of the diagonals. 77. The locus of a point which moves so that the sum of the squares of its distances from three given points is constant is a circle. BOOK II. THE CIRCLE. INTRODUCTION. Def. 1. IF a point moves...
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Introduction to quaternions, by P. Kelland and P.G. Tait

Philip Kelland - 1873
...given sphere : a point Q is taken in OP so that OP.OQ = k'. Prove that the locus of Q is a sphere. 11. A point moves so that the sum of the squares of its distances from a number of given points is constant. Prove that its locus is a sphere. 12. A sphere touches each of...
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