Analytic Geometry

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Ginn, 1922 - Geometry, Analytic - 290 pages
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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 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 223 - The cycloid is a plane curve formed by a point on a circle as the circle rolls along a straight line.
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 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 138 - Prove that the ordinate of the point of intersection of two tangents to a parabola is the arithmetical mean between the ordinates of the points of contact of the tangents.
Page 87 - Find the equations of the bisectors of the angles formed by the lines ox - 12 y+ 10 = 0 and 12x - by + 15 = 0.
Page 240 - POx{ , are called the direction angles of the line, and their cosines are called direction cosines.

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