 | Henry Parr Hamilton - 1834 - 272 páginas
...R, and CB in »•; then ' ON THE HYPERBOLA. CHAPTER I. ON THE HYPERBOLA REFERRED TO ITS AXES. 176. To find the equation to the hyperbola. The hyperbola is the locus of a point, whose distance from the focus is always greater, in a given ratio, than its distance from the directrix.... | |
 | Henry Parr Hamilton - 1834 - 240 páginas
...CA in R, and CB in r; then ON THE HYPERBOLA. CHAPTER I. ON THE HYPERBOLA REFERRED TO ITS AXES. 1 76. To find the equation to the hyperbola. The hyperbola is the locus of a point, whose distance from the focus is always greater, in a given ratio, than its distance from the directrix.... | |
 | John Hymers - 1837 - 486 páginas
...semi-diameters SECTION VIII. ON THE HYPERBOLA. Various forms of the equation to the Hyperbola. 155. To find the equation to the Hyperbola. The hyperbola is the locus of a point whose distance from a given point is always greater than its distance from a given fixed line in a... | |
 | Michel Chasles - 1837 - 564 páginas
...^тга'b' siny. SECTION VIII. ON THE HYPERBOLA. Various forms of the equation to the Hyperbola. 155. To find the equation to the Hyperbola. The hyperbola is the locus of a point whose distance from a given point is always greater than its distance from a given fixed line in a... | |
 | Isaac Todhunter - 1855 - 332 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 - 376 páginas
...draw on the equal conjugate diameters; shew that the normal at. 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 ? distance from a fixed point bears a constant ratio to its stance from a fixed straight line, the... | |
 | Thomas Kimber - 1865 - 302 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... | |
 | James White - 1878 - 160 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... | |
 | R. M. Milburn - 1880 - 116 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 - 176 páginas
...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... | |
| |
Hyperbola is the locus of a point which moves so that its distance from a fixed point, called the focus, bears a constant ratio, which is greater than unity, to its distance from a fixed straight line, called the directrix. 
