Analytic Geometry

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Ginn, 1922 - Geometry, Analytic - 290 pages
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Page 106 - A point moves so that the sum of the squares of its distances from the four sides of a square is constant.
Page 32 - Prove that the middle point of the hypotenuse of a right triangle is equidistant from the three vertices.
Page 115 - 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 38 - 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 223 - The locus of a point on a circle as the circle rolls along a straight line is called a cycloid.
Page 145 - Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line.
Page 192 - Find the locus of the center of a circle which is tangent to a fixed circle and a fixed straight line.
Page 106 - Find the equation of the circle inscribed in the triangle formed by the lines x + y = 0, x - 7y + 24 = 0, and 7x - y -8 = 0.
Page 43 - Two points are said to be symmetric with respect to a line if the line is the perpendicular bisector of the line segment which joins the two points.
Page 240 - Denote by a, 0, 7 the angles which a directed line makes with the positive directions of the axes of x, y, z respectively. These angles are called the direction angles of the line, and their cosines are called the direction cosines of the line.

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