# An elementary manual of coordinate geometry and conic sections

C.F. Hodgson & Son, 1878 - Conic sections - 148 pages
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Page 142 - Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides.
Page 55 - It may also be defined as 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 straight line.
Page 138 - The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.
Page 54 - A point moves so that the sum of the squares of its distances from the four sides of a square is constant.
Page 138 - If a perpendicular be drawn from the vertical angle of any triangle to the base, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base.
Page 97 - THE simplest property of the hyperbola is that it is the locus of a point the difference of whose distances from two fixed points is constant. The two fixed points are called tho foci.