 | Henry Parr Hamilton - 1834 - 240 pàgines
...intersection is the directrix. ON THE ELLIPSE. CHAPTER I. ON THE ELLIPSE REFERRED TO ITS AXES. 92. To find the equation to the ellipse. The ellipse is the locus of a point whose distance from the focus is always less, in a given ratio, than its distance from the directrix.... | |
 | Henry Parr Hamilton - 1834 - 272 pàgines
...intersection is the directrix. ON THE ELLIPSE. CHAPTER I. ON THE ELLIPSE REFERRED TO ITS AXES. 92. Tofind the equation to the ellipse. The ellipse is the locus of a point whose distance from the focus is always less, in a given ratio, than its distance from the directrix.... | |
 | John Hymers - 1837 - 486 pàgines
...contained by AN, NP. SECTION VII. ON THE ELLIPSE. Various forms of the equation to the Ellipse. 4 104. To find the equation to the Ellipse. The ellipse is the locus of a point, whose distance from a given point is always less than its distance from a given fixed line, in a constant... | |
 | Michel Chasles - 1837 - 564 pàgines
...contained by AN, NP. SECTION VII. ON THE ELLIPSE. Various forms of the equation to the Ellipse. 104. To find the equation to the Ellipse. The ellipse is the locus of a point, whose distance from a given point is always less than its distance from a given fixed line, in a constant... | |
 | Isaac Todhunter - 1855 - 332 pàgines
...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 fixed straight... | |
 | Isaac Todhunter - 1862 - 376 pàgines
...lines drawn from the vertex to thc points of contact of the tangents from (h, A) are represents ty the equation CHAPTEE IX. THE ELLIPSE. 158. To find...ellipse is the locus of a point which moves so that its .istance from a fixed point bears a constant ratio to its disance from a fixed straight line, the ratio... | |
 | Thomas Kimber - 1865 - 302 pàgines
...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... | |
 | James White - 1878 - 160 pàgines
...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 called the focus... | |
 | R. M. Milburn - 1880 - 116 pàgines
...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,- AM=x; MF^y.... | |
 | Thomas Kimber - 1880 - 176 pàgines
...b. 16. Show that an equation of the form х» + y2+A x + В у = С represents a circle. Investigate the locus of a point which moves so that its distance from one fixed point bears a constant ratio to its distance from another. 17. Trace the curve represented... | |
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Thus 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 (see fig. 
