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abscissa algebraic Analytic Geometry anharmonic ratio asymptotes axis of X bisectors bisects called centre of similitude chord of contact co-ordinate axes co-ordinate planes coefficients conic conic section conjugate diameters conjugate hyperbola constant corresponding curve dihedral angle direction-cosines direction-vectors directrix distance distance-ratio divide drawn eccentricity ellipse equa equal express Find the equation Find the locus fixed point focal radii focus four points geometry Hence hyperboloid imaginary infinity intercepts junction-point latus rectum length line intersects line joining line passing major axis middle point negative normal form ordinate origin pair parabola parallel pencil perpendicular point of intersection point whose co-ordinates polar equation pole position Problem Proof quadratic equation quadric quantities radical axis radius rectangular represent respectively segment Show sides straight line subtangent suppose surface tangent Theorem tion transverse axis triangle trigonometry vertex vertices whence Write the equation
Página 127 - An ellipse is the locus of a point, the sum of whose distances from two fixed points is constant. In Fig. 10.12, the two fixed points are labeled F and F' and are termed the foci of the ellipse, with x coordinates /and/+ 2c.
Página 81 - A point moves so that the sum of the squares of its distances from the four sides of a square is constant.
Página 21 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Página 272 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.
Página 187 - For example, the locus of a point which moves in such a way that its distance from a fixed point is always equal to its distance from a fixed straight line, is a parabola.
Página 81 - Find the locus of a point the sum of the squares of whose distances from two given points is constant.
Página 75 - ... the tangent of the angle which the line makes with the axis of abscissae), was lately employed by M. Crova* for the discussion of experiments relating to the degree of constancy possessed by so-called
Página 118 - The locus of the point of intersection of two tangents to a parabola which...