Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" A point moves so that the sum of the squares of its distances from the four sides of a square is constant. "
Analytic Geometry - Page 106
by Lewis Parker Siceloff, George Wentworth, David Eugene Smith - 1922 - 290 pages
Full view - About this book

A treatise on plane co-ordinate geometry

Isaac Todhunter - Conic sections - 1855 - 376 pages
...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 so that...
Full view - About this book

A Treatise on Plane Co-ordinate Geometry: With Numerous Examples ...

Isaac Todhunter - Geometry - 1855 - 332 pages
...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...
Full view - About this book

A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ...

Isaac Todhunter - Conic sections - 1858 - 334 pages
...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...
Full view - About this book

A mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 302 pages
...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....
Full view - About this book

Trilinear Coordinates and Other Methods of Modern Analytical Geometry of Two ...

William Allen Whitworth - Coordinates, Trilinear - 1866 - 558 pages
...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...
Full view - About this book

An Introduction to Analytical Plane Geometry

W. P. Turnbull - Geometry, Analytic - 1867 - 276 pages
...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...
Full view - About this book

Elementary geometry

James Maurice Wilson - 1869 - 260 pages
...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...
Full view - About this book

Introduction to Quaternions, with Numerous Examples

Philip Kelland, Peter Guthrie Tait - Quaternions - 1873 - 254 pages
...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...
Full view - About this book

Introduction to quaternions, by P. Kelland and P.G. Tait

Philip Kelland - 1873 - 248 pages
...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...
Full view - About this book

An elementary manual of coordinate geometry and conic sections

James White - Conic sections - 1878 - 160 pages
...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 are circles....
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF