A Textbook Of Analytical Geometry Of Two Dimensions |
Índice
PRELIMINARY | 1 |
THE STRAIGHT LINE | 19 |
CHANGE OF AXES | 50 |
PAIR OF LINES | 58 |
THE CIRCLE | 80 |
SYSTEMS OF CIRCLES | 114 |
Coaxal circles | 128 |
THE PARABOLA | 142 |
TRACING OF CONICS | 294 |
Conic section | 295 |
Centre of a conic section | 297 |
Principal axes and eccentricity of a conic | 300 |
Axis latus rectum vertex and focus of a parabola | 303 |
Tracing of conics | 304 |
POLAR EQUATION OF A CONIC 1 Introduction | 313 |
Tracing of the conic1+e cos 0 | 315 |
8 | 174 |
19 | 185 |
Diameter | 186 |
THE ELLIPSE | 193 |
50 | 201 |
Propositions on ellipse | 219 |
Diameter | 230 |
THE HYPERBOLA 1 Definition | 251 |
Some important results | 259 |
Parametric form of the hyperbola | 261 |
Asymptotes | 267 |
Conjugate hyperbola | 272 |
Rectangular hyperbola | 280 |
Chord joining two points | 321 |
Tangent and normal | 322 |
Polar | 327 |
Director circle | 328 |
Asymptotes | 329 |
OBLIQUE AXES 1 Introduction | 334 |
Equation of a line | 335 |
Angle between two lines | 336 |
Length of perpendicular | 338 |
Angle between the pair of lines | 339 |
Equation of a hyperbola | 346 |
361 | |
Términos y frases comunes
a² b2 asymptotes ax+by+c=0 axes bisectors bisects centre chord of contact coaxal system coincident or imaginary conic section conjugate diameters conjugate hyperbola constant cos² cut orthogonally directrix eccentric angle ellipse x2 Find the coordinates Find the equation Find the locus fixed point focal chord foci focus given circle given parabola given point Hence the equation Hence the locus joining the points latus rectum length Let h Let P(x Let the equation lies limiting points line joining line y=mx+c locus of h major axis middle point origin P(x₁ pair of lines pair of tangents parabola y²-4ax parallel to x-axis parameter perpendicular point h point of intersection point P(x point x₁ polar equation pole Prove radical axis radius rectangular hyperbola represents a pair required equation right angles sin² slope Solution subtends a right system of circles t₁ tangents drawn vectorial angle vertex y-axis y₁