The Cone and Its Sections Treated GeometricallyReprint of the original, first published in 1875. |
Contents
Definitions | 5 |
Demonstrating that the same Section may be cut from both a Scalene | 16 |
Theorem relating to an inscribed Trapezium | 36 |
Intersection of a Conic by a Circle | 48 |
Construction and Properties of the Hyperbola | 102 |
Curvature of the Conic Sections | 111 |
Anharmonic Ratio | 120 |
Anharmonic Properties of Conics | 128 |
Harmonic Ditto | 141 |
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Common terms and phrases
Altdo anharmonic ratio Asymptotes auxiliary circle axes centre chord of contact Conic section conjugate diameters conjugate Hyperbola curvature described director circle Draw the tangents drawn parallel Ellipse Ellipse and Hyperbola equal angles Ex æquali extremities F and F fixed point focal chord focal distances foci focus F harmonically divided Hence Hyperbolic sector intersection Latus Rectum lines be drawn lines drawn locus meet the axis meet the curve meet the directrix meet the tangent normal ordinate osculating circle pair of conjugate pair of tangents Parabola parallelogram pass perpendicular point Q points of contact produced to meet Prop prove radius rectangle rectangular Hyperbola right angles segments shown similar triangles similarly straight line subtend tangents be drawn touch trapezium vertex