| Henry Parr Hamilton - 1834 - 207 páginas
...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 - 207 páginas
...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 - 130 páginas
...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, Charles Graves - 1837 - 112 páginas
...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... | |
| 1855 - 299 páginas
...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
...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 - 192 páginas
...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... | |
| Rev. James White - 1878 - 148 páginas
...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... | |
| Robert Marriott Milburn - 1880 - 100 páginas
...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
...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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