Pesquisa Imagens Maps Play YouTube Notícias Gmail Drive Mais »
Fazer login
Livros Livros
" 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

Calendar, Parte 3

University of Calcutta - 1912 - 746 páginas
...may be collinear. 2. Define a circle. From your definition obtain the general equation of the circle. A point moves so that the sum of the squares of its distances from the four sides of a square is constant; prove that the locus is a circle. Determine the centre and...
Visualização completa - Sobre este livro

Modern Geometry

Charles Godfrey, Arthur Warry Siddons - 1912 - 190 páginas
...generalized theorem, of which Apollonius' theorem is a particular case. Also compare Ex. 27.) Ex. 0O. A point moves so that the sum of the squares of its distances from two fixed points A, B remains constant ; prove that its locus is a circle. Ex. 31. The sum of the squares...
Visualização completa - Sobre este livro

New Analytic Geometry

Percey Franklyn Smith, Arthur Sullivan Gale - 1912 - 364 páginas
...equations in the problem. In such cases always choose the axes in the most convenient manner possible. 8. A point moves so that the sum of the squares of its distances from two fixed points is constant. Prove that the locus is a circle. 9. A point moves so that the sum of...
Visualização completa - Sobre este livro

Analytic Geometry

Linnaeus Wayland Dowling, Frederick Eugene Turneaure - 1914 - 294 páginas
...which passes through the points (5, — 3) and (0, 6) and has its center on the line 2.r-3j/-6 = 0. 3. A point moves so that the sum of the squares of its distances from two fixed points is constant. Prove that the locus is a circle. 4. A point moves so that the ratio...
Visualização completa - Sobre este livro

Analytic Geometry

Henry Bayard Phillips - 1915 - 220 páginas
...Find its locus. 3. In a triangle ABC, A and В are fixed. Find the locus of C, if A - В = \ т. 4. A point moves So that the sum of the squares of its distances from the three sides of an equilateral triangle is equal to the square of one side of the triangle. Find...
Visualização completa - Sobre este livro

Plane Analytic Geometry: With Introductory Chapters on the Differential Calculus

Maxime Bôcher - 1915 - 258 páginas
...many other cases. We illustrate this by two examples. Example 1. To 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, which we will call 2 a 2 . Let us take the line connecting the two...
Visualização completa - Sobre este livro

An Elementary Treatise on Conic Sections by the Methods of Co-ordinate Geometry

Charles Smith - 1916 - 466 páginas
...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...
Visualização completa - Sobre este livro

Elementary Mathematical Analysis

John Wesley Young, Frank Millett Morgan - 1917 - 584 páginas
...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...
Visualização completa - Sobre este livro

Analytic Geometry and Calculus

Frederick Shenstone Woods, Frederick Harold Bailey - 1917 - 542 páginas
...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...
Visualização completa - Sobre este livro

Analytic geometry and calculus

Frederick Shenstone Woods - 1917 - 562 páginas
...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....
Visualização completa - Sobre este livro




  1. Minha biblioteca
  2. Ajuda
  3. Pesquisa de livros avançada
  4. Download do ePub
  5. Download do PDF