The Elements of Coordinate Geometry, Part 2

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Macmillan & Company, 1896 - Coordinates - 416 pages
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Page 118 - A conic section is the locus 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 195 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.
Page 158 - A straight line moves so that the product of the perpendiculars on it from two fixed points is constant. Prove that...
Page 156 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Page 29 - This equation tells us that the square of the distance of the point (x, y) from the...
Page 3 - The sum of the products of the roots, taken two at a time, is equal to the coefficient of the third term, thus, Zl*2 + XiX3 + XiX4 + X2X3 + X2X4 + X3Xt = pi.
Page 182 - ... the tangent of the angle which the tangent makes with the axis of abscissas, this coefficient must have as many values as there are intersecting branches.
Page 303 - If a right-angled triangle be inscribed in a rectangular hyperbola, prove that the tangent at the right angle is the perpendicular upon the hypothenuse.

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