Elements of Analytic Geometry

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Page 33 - A point moves so that the sum of the squares of its distances from the four sides of a square is constant.
Page 173 - F') ; the diameter drawn through them is called the major axis, and the perpendicular bisector of this diameter the minor axis. It is also defined as the locus of a point which moves so that the ratio of its distance from a fixed point...
Page 203 - 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.
Page 200 - Thus a parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line (see fig.
Page 145 - 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.
Page 136 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.
Page 54 - ... lines, and the perpendiculars from the three vertices of the triangle upon this line will be equal, by Chap. I, II, 13. A perpendicular to AB erected midway between any two of these three is perpendicular to the corresponding side of the triangle at its middle point (Chap.
Page 65 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Page 119 - A parabola is the locus of a point whose distance from a fixed point is always equal to its distance from a fixed line.
Page 180 - Find the locus of a point the sum of whose distances from two given parallel lines is equal to a given length.

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