 | Horatio Nelson Robinson - Conic sections - 1862 - 356 pages
...DEFINITIONS. 1. The Hyperbola is a plane curve, generated by the motion of a point subjected to the condition that the difference of its distances from two fixed points shall be constantly equal to a given line. REMARK 1. — The distance between the foci is also supposed to be... | |
 | Horatio Nelson Robinson - Conic sections - 1863 - 362 pages
...DEFINITIONa 1. The Hyperbola is a plane curve, generated by the motion of a point subjected to the condition that the difference of its distances from two fixed points shall be constantly equal to a given line. REMAKK 1. — The distance between the foci is also supposed to be... | |
 | Albert Ensign Church - Geometry, Descriptive - 1864 - 212 pages
...The hyperbola, which may be generated by moving a point ,n the same plane, so that tho difl'erence of its distances from two fixed points shall be equal...be constructed by points, thus : Let F and F', Fig. 30, be the two foci, and VV the given line, so placed tbat FV = F'V. With F' as a centre, and any radius... | |
 | Albert Ensign Church - Mathematics - 1868 - 205 pages
...describe an arc cutting YY' in F and F7. These points will be the foci, for DF + DF = 2CY = YV'. I Y. The hyperbola, which may be generated by moving a...curve may be constructed by points, thus : Let F and F7, Fig. 36, be the two foci, and YY' the given line, so placed that FV = F'V'. With F' as a centre,... | |
 | Albert Ensign Church - Mathematics - 1868 - 222 pages
...be the foci, for DF + DF' = 2CV = VV. IV. The hyperbola, which may be generated by moving a point ,n the same plane, so that the difference of its distances...foci. The curve may be constructed by points, thus : Lot F and F', Fig. 36, be the two foci, and VV the given line, so placed that FV = F'V. With F' as... | |
 | George Russell Briggs - Geometry, Analytic - 1881 - 174 pages
...two fixed points in that plane is constant. An hyperbola is a curve generated by a point moving in a plane so that the difference of its distances from two fixed points in that plane is constant. A parabola is a curve generated by a point moving in a plane so that at... | |
 | Thomas Henry Eagles - Conic sections - 1885 - 404 pages
...convenient method of constructing it. It may also be defined as the locus of a point which moves in a plane, so that the difference of its distances from two fixed points in the plane is constant, and that the two definitions are really identical may be shewn thus: —... | |
 | George Russell Briggs - 1890 - 170 pages
...two fixed points in that plane is constant. An hyperbola is a curve generated by a point moving in a plane so that the difference of its distances from two fixed points in that plane is constant. A parabola is a curve generated by a point moving in a plane so that at... | |
 | Gardner Chace Anthony - Mechanical drawing - 1894 - 190 pages
...the same manner. THE HYPERBOLA. PLATE 9. The Hyperbola is a curve generated by a point moving in a plane, so that the difference of its 'distances from two fixed points shall be constantly equal to a given line. The two fixed points, P and F', Fig. 73, are the foci. The given... | |
 | George Cunningham Edwards - Geometry - 1895 - 324 pages
...the relation developed in Prob. 4, the hyperbola may be defined as: The locus of a point moving in a plane so that the difference of its distances from two fixed points, also in the plane, will remain fixed. If the condition that the locus be a plane curve be removed,... | |
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F'. These points will be the foci, for DF + DF' = 2CV = VV. IV. The hyperbola, which may be generated by moving a point in the same plane, so that the difference of its distances from two fixed points shall be equal to a given line. The two fixed points... 
