## The Elements of Coordinate Geometry, Part 2 |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

asymptotes axes becomes called centre chord circle circle x² coincident common condition conic conic section constant coordinates corresponding cos² curve direction directrix distance draw drawn eccentric ellipse ends equal EXAMPLES Find the equation fixed point foci focus follows given given point given straight line gives Hence imaginary inclined intercept length lies locus meet middle point negative normal obtained origin pair parabola parallel passes perpendicular point h point of contact point of intersection polar pole positive prove quantity radical axis radius rectangular hyperbola rectum referred relation represents required equation respect right angles roots satisfy Shew sides Similarly sin² square straight line straight line joining Substituting Take tangent touches triangle values vertex written x₁ y₁ zero

### Popular passages

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.