 | Henry Parr Hamilton - 1834 - 240 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...of contact of the tangents from (h, A) are represents ty the equation CHAPTEE IX. THE ELLIPSE. 158. To find the equation to the ellipse^ The 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 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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. 
