Analytical system of conic sections

a² a² a² b² a² e² a² sin² a² y² a²b² a²yy abscissa angles to Aa asymptotes axes of co-ordinates axis Aa b² a² b² cos² b²x² bisect centre circle conic section conjugate diameters conjugate hyperbola curve cut the axis denote diameter be drawn directrix draw e²x² equal equation required fall the perpendicular find the equation find the intersection find the locus focus given in position given point Hence indefinite joining the points latus rectum Let CP let fall major axis meeting the ellipse middle points ordinate pairs of tangents parabola parallelogram perpendicular PM plane point of intersection point Q points of contact polar equation proved rectangle contained right angles semi-major axis SP² ß² substitution subtangent supplemental chords theory of equations values vertex x²²