Statements (81)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:geometric_shapes
gptkb:geographical_feature |
| gptkbp:analyzes |
An elongated circle.
|
| gptkbp:can_be_described_in_polar_coordinates |
r(θ) = (p)/(1 + e*cos(θ)).
|
| gptkbp:can_be_graphically_represented_by |
A diagram showing its axes and foci.
A set of points that satisfy the distance condition to the foci. |
| gptkbp:can_be_rotated |
To create different orientations.
|
| gptkbp:can_be_used_in |
Optics for lens design.
Robotics for path planning. |
| gptkbp:can_transform_into |
A circle by setting the major and minor axes equal.
|
| gptkbp:constructed_in |
Geometric tools like compass and straightedge.
Using a compass and string method. |
| gptkbp:eccentricity |
A measure of how much the ellipse deviates from being circular.
|
| gptkbp:features |
gptkb:grass
fountains walkways |
| gptkbp:has_area |
πab, where a is the semi-major axis and b is the semi-minor axis.
|
| gptkbp:has_foci |
Two fixed points used in the formal definition of the ellipse.
|
| gptkbp:has_function |
A closed curve that results from the intersection of a cone with a plane that is inclined to the axis of the cone.
|
| gptkbp:has_minor_axis |
The shortest diameter of the ellipse.
|
| gptkbp:has_perimeter_approximation |
Approximately π[3(a+b) -sqrt((3a+b)(a+3b))].
|
| gptkbp:historical_significance |
yes
|
| https://www.w3.org/2000/01/rdf-schema#label |
Ellipse
|
| gptkbp:is_a |
Closed conic section.
Closed curve. Conic section. Geometric figure. Mathematical object. Quadratic curve. |
| gptkbp:is_adjacent_to |
gptkb:White_House
|
| gptkbp:is_analyzed_in |
Analytic geometry.
Calculus for area and perimeter. |
| gptkbp:is_characterized_by |
The distance from the center to the foci.
The ratio of the lengths of the axes. The relationship between its axes. Two axes: major and minor. Two foci. |
| gptkbp:is_defined_by |
The sum of distances from any point on the ellipse to the foci is constant.
|
| gptkbp:is_described_as |
The parameters a (semi-major axis) and b (semi-minor axis).
The distance formula involving foci. The equation (x^2/a^2) + (y^2/b^2) = 1. The general quadratic equation. The parametric equations x = a*cos(t), y = b*sin(t). |
| gptkbp:is_found_in |
Art for creating patterns.
Conic sections along with hyperbola and parabola. Mathematics and geometry. Various natural phenomena. |
| gptkbp:is_located_at |
gptkb:White_House
|
| gptkbp:is_reflected_in |
A mirror to create optical effects.
|
| gptkbp:is_related_to |
Circle as a special case.
The concept of conic sections. The concept of eccentricity. The concept of focus and directrix. The concept of geometric loci. The concept of geometric transformations. |
| gptkbp:is_represented_in |
Different coordinate systems.
Standard form or parametric equations. |
| gptkbp:is_surrounded_by |
trees
|
| gptkbp:is_symmetric |
About both axes.
|
| gptkbp:is_symmetric_about |
The major axis.
The minor axis. |
| gptkbp:is_used_in |
Astronomical calculations.
Architecture for dome designs. Art and design for aesthetic purposes. Astronomy for celestial mechanics. Astronomy to describe planetary orbits. Computer graphics for rendering shapes. Computer-aided design (CAD) software. Engineering for designing gears and cams. Navigation systems for satellite orbits. Physics for modeling trajectories. Physics for optics. Physics for wavefronts. Physics to describe orbits. |
| gptkbp:model |
Certain types of mechanical systems.
|
| gptkbp:part_of |
President's Park
|
| gptkbp:semi_major_axis |
The longest diameter of the ellipse.
|
| gptkbp:used_for |
public events
|
| gptkbp:bfsParent |
gptkb:Graphics_Processing_Unit
gptkb:Imogen_Heap |
| gptkbp:bfsLayer |
4
|