An elementary manual of coordinate geometry and conic sections |
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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 |
Common terms and phrases
a² b2 a²+b² abscissa asymptotes Ax+By+C Ax+By+C=0 axis of x bisected bisector called centre chord of contact coefficient cone CONIC SECTIONS conjugate diameters conjugate hyperbola Consequently constant coordinate geometry cos² cosines curve cutting plane dicular directrix draw easily ellipse Euclid extremities find the equation find the locus fixed point focal distance focal radii foci focus given circle given line given point given straight line inclined initial line intercept joining line Latus Rectum length major axis middle point ordinate pair of conjugate parabola pendicular perpen perpendicular plane of yz point of contact polar coordinates polar equation Prop proved radical axis radius vector ratio rectangle right angles segments sides simple equations sin² square straight line joining straight line parallel straight line passing Take any point tangent tangents drawn touch trapezium triangle formed values vertex vertical angle
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.