Conics by eccentricity
One eccentricity carries a conic from a near-circle ellipse through a parabola to one hyperbola branch.
Conic sections
6 pieces about this concept, across works, topic guides, and exam visualizations.
Topics
Works
Parabolic reflection
Rays from the focus reflect off the parabola and leave parallel to its axis.
Conic envelope
A family of lines sliding on the two axes weaves a parabolic envelope in all four quadrants.
Focus locus
A point travels on an ellipse, with a segment drawn from it to each focus.
Exam visualizations
Two trigonometric ratios on a focal chord
111 AST Mathematics I, Multiple select 7: equal lengths from the definition of a parabola, and the right triangles from the projections, identify one and the same segment ratio.
Center on the x-axis, a distance ratio, and tangent slopes
115 AST Mathematics I, Fill-in 10: a circle with center on the x-axis is fixed by a ratio of distances to two perpendicular lines, then the slopes of the tangents through the origin are found.