 | 1949 - 832 pàgines
[ El contingut d’aquesta pàgina està restringit ] | |
 | Isaac Todhunter - 1855 - 332 pàgines
...P 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 its distance from a fixed point bears a constant ratio to its distance from a fixed straight line, the ratio being greater than unity.... | |
 | Isaac Todhunter - 1858 - 334 pàgines
...the definitions, and investigate some of their properties from their equations. DBF. A conic section is the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line. If this ratio be unity, the curve... | |
 | 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... | |
 | W. P. Turnbull - 1867 - 276 pàgines
...the line joining the other two. (Ex. 29, Chap, vi.) CHAPTER VIII. THE PARABOLA. 103, A conic section is the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line. The conic section is a parabola,... | |
 | Edward Olney - 1870 - 100 pàgines
...as before produced. 3. To produce the equation of the locus of a point moving so that the square of its distance from a fixed point is in a constant ratio to its distance from a fixed line. Sea's. — Let the fixed line be taken as the axis of abscissas, and let a perpendicular to it... | |
 | Philip Kelland - 1873 - 248 pàgines
...meet ; find the locus of its centre. CHAPTER VI. THE ELLIPSE. 43. !• IF we define a conic section as "the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line" (Todhunter, Art. 123), we shall... | |
 | 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
...1 -f*C "-US /••\ <7£ cos2 , sn } /.! , centre the pole. THE HYPERBOLA. 82. Def. The hyperbola is the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line, the ratio being greater than unity.... | |
 | Henry Angel - 1880 - 372 pàgines
...generated by the motion of a point on a plane surface. DEFINITION. — If a point moves in such a manner that its distance from a fixed point is in a constant ratio to its perpendicular distance from a fixed straight line (being nearer to the point than to the line), the... | |
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A conic section 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 from a fixed straight line, called the directrix. 
