Elements of analytic geometry

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Henry Holt and Company, 1885 - 356 páginas
 

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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 163 - THE simplest property of the hyperbola is that it is the locus of a point the difference of whose distances from two fixed points is constant. The two fixed points are called tho foci.
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...
Página 24 - Let x, y be the co-ordinates of any point P referred to the...

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