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 Livros Livros 1 - 10 de 116 sobre A point moves so that the sum of the squares of its distances from the points (0,.... A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant. A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ... - Página 100
de Isaac Todhunter - 1862 - 326 páginas
Visualização completa - Sobre este livro 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...
Visualização completa - Sobre este livro A treatise on plane co-ordinate geometry

Isaac Todhunter - 1862
...moves so that the sum of the squares of io distances from the four sides of a square is constant ; shei that the locus of the point is a circle. 12. A point...circle. 14. Shew what the equation to the circle becomes wkc the origin is a point on the perimeter, and the axes are inclined at an angle of 120°, and the...
Visualização completa - Sobre este livro 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....
Visualização completa - Sobre este livro 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...
Visualização completa - Sobre este livro 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...
Visualização completa - Sobre este livro Elementary Geometry

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...
Visualização completa - Sobre este livro Introduction to Quaternions, with Numerous Examples

Philip Kelland, Peter Guthrie Tait - 1873 - 227 páginas
...constant. Prove that its locus is either a plane or a. sphere. EX. 11.] ADDITIONAL EXAMPLES. 89 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...
Visualização completa - Sobre este livro 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...
Visualização completa - Sobre este livro An Elementary Manual of Coordinate Geometry and Conic Sections

Rev. James White - 1878 - 148 páginas
...examples the base is taken as axis of x, and a perpendicular through its middle point as axis of y. 13. A point moves so that the sum of the squares of its distances from the sides of a square, or from the angles of a square, are constant; shew that in both cases the loci...
Visualização completa - Sobre este livro First B.A. Examination, University of London: A Hand-book to the Study of ...

J. G - 1878 - 372 páginas
...from the four sides of a square is constant. Show that the locus of the point ii a circle. Ex. 12. A point moves so that the sum of the squares of its distances from the sides of an equilateral triangle is constant. Sliaw that the locus of the point it a circle. Ex....
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