Statements (80)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:painting
gptkb:geographical_feature |
| gptkbp:bfsLayer |
3
|
| gptkbp:bfsParent |
gptkb:Graphics_Processing_Unit
|
| gptkbp:analyzes |
An elongated circle.
|
| gptkbp:area |
πab, where a is the semi-major axis and b is the semi-minor axis.
|
| gptkbp:constructed_in |
Geometric tools like compass and straightedge.
Using a compass and string method. |
| gptkbp:coordinates |
r(θ) = (p)/(1 + e*cos(θ)).
|
| gptkbp:defines |
The sum of distances from any point on the ellipse to the foci is constant.
|
| gptkbp:diameter |
Approximately π[3(a+b) -sqrt((3a+b)(a+3b))].
|
| gptkbp:eccentricity |
A measure of how much the ellipse deviates from being circular.
|
| gptkbp:features |
gptkb:garden
fountains walkways |
| gptkbp:graphics |
A diagram showing its axes and foci.
A set of points that satisfy the distance condition to the foci. |
| gptkbp:has_a |
Two fixed points used in the formal definition of the ellipse.
|
| gptkbp:has_method |
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_transformation |
A circle by setting the major and minor axes equal.
To create different orientations. |
| gptkbp:historical_significance |
gptkb:battle
|
| 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_about |
The major axis.
The minor axis. |
| gptkbp:is_adjacent_to |
gptkb:Politician
|
| 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_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_reflected_in |
A mirror to create optical effects.
About both axes. |
| 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_used_for |
public events
|
| 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. Optics for lens design. Physics for modeling trajectories. Physics for optics. Physics for wavefronts. Physics to describe orbits. Robotics for path planning. |
| gptkbp:located_in |
gptkb:Politician
|
| gptkbp:part_of |
President's Park
|
| gptkbp:related_model |
Certain types of mechanical systems.
|
| gptkbp:semi_major_axis |
The longest diameter of the ellipse.
The shortest diameter of the ellipse. |