 | John Hymers - 1837 - 486 páginas
...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 constant ratio. Let KK'... | |
 | Michel Chasles - 1837 - 564 páginas
...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 constant ratio. .A*^--c... | |
 | Percival Frost - 1863 - 526 páginas
...of those surfaces can be deduced. The Sphere. 131. To find the equation of a sphere. DBF. A sphere is the locus of a point, whose distance from a fixed point is constant. The fixed point is the center and the constant distance the radius of the sphere. Let... | |
 | Thomas Kimber - 1865 - 302 páginas
...of a comet, when near its perihelion, appears to be a portion of a parabola. ON THE HYPERBOLA. *,* The hyperbola is the locus of a point whose distance from a given point is always greater in a given ratio than its distance from a given fixed line. 298. To find... | |
 | John Hunter (of Uxbridge.) - 1866 - 104 páginas
...ordinate of any point P on an 262 ellipse, the tangent of the angle A'PA is = — - . ae2y D 3 y 53. The hyperbola is the locus of a point, whose distance from a given fixed point is always greater, in a constant ratio, than its distance from a given fixed straight... | |
 | Dublin city, univ - 1871 - 366 páginas
...tangent and normal at that point meet the minor axis. DR. TAKLETON. 9. Defining a conic section to be the locus of a point whose distance from a fixed point called the focus is in a constant ratio to its distance from a fixed line, show that, if the constant ratio be less than unity, the curve consists... | |
 | Percival Frost - 1875 - 458 páginas
...of those surfaces can be deduced. The Sphere. 159. To find the equation of a sphere. DBF. A sphere is the locus of a point, whose distance from a fixed point is constant. The fixed point is the centre and the constant distance the radius of the sphere. Let... | |
 | William Kingdon Clifford - 1878 - 282 páginas
...the letter e, so that sp = e . pl. The line dl is called the directrix. Thus we see that the ellipse is the locus of a point whose distance from a fixed point (the focus) is in a constant ratio to its distance from a fixed line (the directrix). The distance... | |
 | Charles Smith - 1884 - 256 páginas
...due to Mac Cullagh, is as follows : — A conicoid is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance (measured parallel to a fixed plane) from a fixed straight line called the directrix.... | |
 | John Hunter - 1885 - 130 páginas
...ordinate of any point P on an ellipse, the tangent of the angle A'PA is = — - . THE HTPEBBOLA. 53. The hyperbola is the locus of a point, whose distance from. a given fixed point is always greater, in a constant ratio, than its distance from a given fixed straight... | |
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A conic is the locus of a point whose distance from a fixed point called the focus is in a constant ratio to its distance from a fixed line called a directrix. 
