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Page 149 - 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 91 - The locus of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a fixed line is called a conic.
Page 63 - A point moves so that the sum of the squares of its distances from two fixed points is constant.
Page 63 - A point moves so that its distances from two fixed points are in a constant ratio k.
Page 60 - A circle is the locus of a point at a constant distance from a fixed point. The fixed point is the center of the circle, and the constant distance is the radius.
Page 10 - N6 is to say that if two nonvertical lines are perpendicular, then the slope of one is the negative reciprocal of the slope of the other.
Page 92 - I, the conic is a parabola; if e > 1, the conic is a hyperbola. Every conic section is representable by an equation of second degree. Conversely, every equation of second degree in two variables represents a conic. Th...
Page 83 - The perpendicular bisectors of the sides of a triangle meet in a point. 12. The bisectors of the angles of a triangle meet in a point. 13. The tangents to a circle from an external point are equal. 14...
Page 31 - A point moves so that the sum of its distances from the two axes is always equal to 10.
Page 63 - Find the locus of a point which moves so that the square of its distance from the base of an isosceles triangle is equal to the rectangle under its distances from the other sides.