## An elementary manual of coordinate geometry and conic sections |

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### Other editions - View all

An Elementary Manual of Coordinate Geometry and Conic Sections James White No preview available - 2018 |

An Elementary Manual of Coordinate Geometry and Conic Sections James White No preview available - 2015 |

An Elementary Manual of Coordinate Geometry and Conic Sections James White No preview available - 2018 |

### Common terms and phrases

a²+b² asymptotes axes axis of x base becomes bisected Book called centre chord chord of contact circle coefficient condition cone conjugate diameters Consequently constant coordinates corresponding cos² curve cutting plane describe diameter difference direction directrix distance draw drawn easily ellipse equal equation evident extremities figure find the equation fixed point focal distances foci focus follows Geometry given point given straight line hyperbola inclined intercept intersection length major axis manifestly meet method middle point minor moved negative normal opposite origin pair parabola parallel perpendicular plane of yz point of contact polar position produced Prop properties proved radius ratio rectangular referred represents respectively right angles satisfied segments sides Similarly sphere square straight line straight line joining substituting Take taken tangent touch triangle vertex written

### Popular passages

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.