A Treatise on Plane Co-Ordinate GeometryReprint of the original, first published in 1874. |
Contents
PLANE COORDINATE GEOMETRY CHAP PAGE I Coordinates of a Point | 1 |
On the Straight Line | 11 |
Problems on the Straight Line | 25 |
Straight Line continued | 55 |
Transformation of Coordinates | 82 |
The Circle | 89 |
Padical Axis Pole and Polar | 106 |
The Parabola | 116 |
The Hyperbola | 188 |
The Hyperbola continued | 203 |
General Equation of the Second Degree | 224 |
Miscellaneous Propositions | 244 |
Abridged Notation | 272 |
Sections of a Cone Anharmonic Ratio and Harmonic Pencil | 308 |
Projections | 322 |
ANSWERS TO EXAMPLES | 335 |
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Common terms and phrases
a²b³ abscissa angular points asymptotes ax² axes axis of x chord of contact circle conic section conjugate diameters conjugate hyperbola constant cos² cos³ denote directrix ellipse equa equal Euclid expression external point figure to Art find the equation find the locus fixed point focus given point given straight line Hence the equation inclined latus rectum Let the equation line which passes major axis meet the curve middle point obtain ordinate origin parabola Pascal's Theorem perpendicular point h point of intersection polar equation positive preceding Article radical axis radius ratio rectangular represents a straight required equation right angles shew shewn sides Similarly sin³ straight line drawn straight line joining straight line passing straight lines meet straight lines represented suppose tangent values vertex y₁