Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix. "
London graduation mathematics, questions in arithmetic and algebra set from ... - Page xxxviii
by Thomas Kimber - 1880
Full view - About this book

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

Isaac Todhunter - Geometry - 1855 - 332 pages
...bisects MN. CHAPTER XI. THE HYPERBOLA. 209. To find the equation to the hyperbola. The hyperbola is the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line, the ratio being greater...
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
...consequences of the definitions in Art. 123. 125. To find the equation to the Parabola. A parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line. Let S be the fixed point, YY' the...
Full view - About this book

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

Thomas Kimber - Mathematics - 1865 - 302 pages
...normals at the ends of the latera recta. 16. Find the equation to the hyperbola, considering it as the locus of a point which moves, so that its distance from one fixed point differs by a constant quantity from its distance from another fixed point. Show that the hyperbola...
Full view - About this book

An Introduction to Analytical Plane Geometry

W. P. Turnbull - Geometry, Analytic - 1867 - 276 pages
...line joining the other two. (Ex. 29, Chap, vi.) CHAPTER VIII. THE PARABOLA. 103, A conic section is the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line. The conic section...
Full view - About this book

The Messenger of Mathematics, Volume 18

1889 - 500 pages
...usual definition of a parabola now given in an elementary treatise on Geometrical Conic Sections is " the locus of a point which moves so that its distance from a given fixed point, called the focus, is always equal to its distance from a given straight line,...
Full view - About this book

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

Philip Kelland - 1873 - 248 pages
...meet ; find the locus of its centre. CHAPTER VI. THE ELLIPSE. 43. !• IF we define a conic section as "the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line" (Todhunter, Art. 123),...
Full view - About this book

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

Thomas Kimber - 1874 - 354 pages
...line, and passes through the pointa; = a, y= b. 16. Show that an equation of the form x* -f- y* + A x + В у — С represents a circle. Investigate...another. 17. Trace the curve represented by the equation Find the equation to a straight line which touches this curve and is parallel to the straight line...
Full view - About this book

An elementary manual of coordinate geometry and conic sections

James White - Conic sections - 1878 - 160 pages
...both in simplicity and in the importance of its applications, is the parabola. It may be defined as The locus of a point which moves so that its distance from a fixed point is equal tu its distance from a fixed straight line. The fixed point (F in figure) is...
Full view - About this book

Mathematical Formulae: For the Use of Candidates Preparing for the Army ...

R. M. Milburn - Mathematics - 1880 - 116 pages
...double ordinate through the focus of a conic section is called the latus rectum. 40. Def. A parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line. A the vertex ; S the focus ; AS=a,-...
Full view - About this book

Linear Algebra

Hussein Tevfik (Pacha.) - Algebras, Linear - 1882 - 98 pages
...equation of a Conic Section deduced directly from its definition. 85. We will define a Conic Section as the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight lens. (Kelland and Tait,...
Full view - About this book




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