 | Thomas Henry Eagles - Conic sections - 1885 - 404 pages
...the curve which furnishes the most convenient method of constructing it. It may also be defined as the locus of a point which moves in a plane, so that the difference of its distances from two fixed points in the plane is constant, and that the two definitions... | |
 | Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...second point on the directrix.] CHAPTER IV. THE ELLIPSE. THE ellipse has already been defined (p. 56) as the locus of a point which moves in a plane so that its distance from a fixed point in the plane is always in a constant ratio, less than unity, to its... | |
 | Thomas Henry Eagles - 1885 - 404 pages
...second point on the directrix.] CHAPTER IV. THE ELLIPSE. THE ellipse has already been defined (p. 56) as the locus of a point which moves in a plane so that its distance from a fixed point in the plane is always in a constant ratio, less than unity, to its... | |
 | George Albert Wentworth - Geometry, Analytic - 1887 - 264 pages
...the centre is the point [ -- < — — - V \ 2A 2.BJ 162. To find the locus of a point which moves so that the ratio of its distances from a fixed point and a fixed straight line is constant and less than unity. E Let c denote the constant ratio, 2p the distance... | |
 | Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 165 pages
...into two parts so that the chords of these parts may be to each other in a given ratio. 50. A point P moves in a plane so that the ratio of its distances from two fixed points A, B in that plane is always the same. Show that in general the locus of P is a circle,... | |
 | George Alexander Gibson - Calculus - 1901 - 492 pages
...the most frequently occurring technical terms connected with them. DEFINITION. — A conic section is the locus of a point which moves in a plane so that its distance from a fixed point is in a constant ratio to its distance from a fixed straight line.... | |
 | George Russell Briggs - Geometry, Analytic - 1903 - 221 pages
...of these curves and learn some new facts about them. BOSCOVICH'S DEFINITION. — A Conic Section is the locus of a point which moves in a plane so that its distance from a fixed point of the plane bears a constant ratio to its distance from a fixed line... | |
 | Albert Luther Candy - Geometry, Analytic - 1904 - 288 pages
...by (1) is indeed a defining property of a conic section, that is : A Conic Section, or a Conic, is the locus of a point which moves in a plane so that its distance from a fixed point in the plane is in a constant ratio to its distance from a fixed line... | |
 | Victor Tyson Wilson - Geometry, Descriptive - 1909 - 282 pages
...plane according to the conditions of the equation y*=4px. This may be defined, in graphical terms, as the locus of a point which moves in a plane so that its distance from a fixed line is equal to its distance from a fixed point. The line is known as the... | |
 | Norman Colman Riggs - Geometry, Analytic - 1910 - 318 pages
...however, that the following definition is equivalent to the one just given. DEFINITION. A conic is the locus of a point which moves in a plane so that the ratio of its distance from a fixed point in the plane to its distance from a fixed straight line in the plane is... | |
| |
A conic is the locus of a point which moves in a plane so that the ratio of its... 
