Cartesian of the PlaneCUP Archive |
Contents
THE POINT | 1 |
THE LINE | 23 |
4 Special forms of the equation of the line p | 29 |
The sign of the expression ax+by+c p 36 Examples | 39 |
Condition for three lines to be concurrent p | 45 |
line p 47 Examples II E p 50 13 Area of a triangle | 51 |
THE PARABOLA | 63 |
B CUBIC CURVES | 107 |
THE CIRCLE | 133 |
THE ELLIPSE AND HYPERBOLA | 173 |
LINE PAIRS | 220 |
THE GENERAL CONIC | 236 |
POLAR COORDINATES | 265 |
Further Miscellaneous Examples | 273 |
Formulae for Reference | 285 |
Hints on the Solution of Examples | 293 |
A curve with a double point p 108 7 A curve with | 113 |
TRIGONOMETRIC CURVES | 123 |
Answers to Examples | 299 |
321 | |
Common terms and phrases
a²+b² ABCD asymptotes ax+by+c ax² ax²+2hxy+by² bisectors bisects C₁ centre centroid chord PQ circle x² circumcentre circumcircle coaxal system collinear conic constant diagonals diameter directrix drawn eccentricity ellipse x²/a² Find the coordinates Find the equation Find the locus fixed point focus geometry given line gradient joining the points latus rectum lies line joining line meets line pair meets the curve meets the parabola meets the x-axis mid-point of PQ MISCELLANEOUS EXAMPLES normal numbers origin orthocentre P₁ P₂ pair of lines parabola y² parallelogram passes perpendicular distance plane point h point of intersection points with parameters polar line positive principal axes Prove Q meet quadratic quadratic equation radical axis radius ratio rectangular hyperbola respectively result rhombus right angle roots Show straight line tangent triangle ABC triangle formed vertex vertices x-axis x₁ y-axis y₁ y²/b²