Elements of Analytic Geometry

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Page 21 - A point moves so that the sum of the squares of its distances from the four sides of a square is constant.
Page 172 - 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 45 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Page 99 - Parabola is the locus of a point whose distance from a fixed point is always equal to its distance from a fixed straight line.
Page 122 - 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 11 - REVISED. BY GEORGE A. WENTWORTH. Wentworth's Plane and Solid Geometry. Revised. 473 pages. Illustrated. For introduction, $1.25. Wentworth's Plane Geometry. Revised. 256 pages. Illustrated. For introduction, 75 cents. Wentworth's Solid Geometry. Revised. 229 pages. Illustrated. For introduction, 75 cents. THE history of Wentworth's Geometry is a study in evolution. It was the corner stone on which was built a now famous...
Page 187 - These three curves are all loci 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.
Page 149 - Arts. 14, 5, and 20 it has been shown that the ellipse, the parabola, and the hyperbola are each the locus of a point, which moves so that its distances from a fixed point (/<>««*) and a fixed line (directrix) are in a constant ratio (eccentricity).
Page 75 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.
Page 36 - ... 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.

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