Statements (49)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
conic section |
| gptkbp:accessibleBy |
left
right downwards upwards |
| gptkbp:definedIn |
set of points equidistant from a fixed point (focus) and a fixed line (directrix)
|
| gptkbp:discoveredBy |
gptkb:Menaechmus
|
| gptkbp:eccentricity |
1
|
| gptkbp:focusesOn |
point inside the curve
|
| gptkbp:hasApplication |
projectile motion
reflecting telescopes satellite dishes car headlights |
| gptkbp:hasAxisOfSymmetry |
vertical line through vertex
|
| gptkbp:hasDirectrix |
line outside the curve
|
| gptkbp:hasEquation |
y = ax^2 + bx + c
|
| gptkbp:hasFeature |
y = a(x-h)^2 + k
|
| gptkbp:hasFocalLength |
distance from vertex to focus
|
| gptkbp:hasInfiniteLength |
true
|
| gptkbp:hasLatusRectum |
4a (for y^2 = 4ax)
|
| gptkbp:hasNoAsymptote |
true
|
| gptkbp:hasReflectiveProperty |
rays parallel to axis reflect through focus
|
| gptkbp:hasSpecialCase |
ellipse with one focus at infinity
|
| gptkbp:hasVertex |
point (h, k)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Parabola
|
| gptkbp:isGraphOf |
quadratic function
|
| gptkbp:studiedBy |
gptkb:Apollonius_of_Perga
|
| gptkbp:symmetry |
axis of symmetry
|
| gptkbp:usedIn |
gptkb:architecture
gptkb:astronomy gptkb:mathematics gptkb:optics gptkb:parabolic_flight_(zero_gravity_simulation) computer graphics engineering fountains mechanics physics ballistics bridge arches parabolic antennas parabolic microphones parabolic reflectors parabolic troughs solar cookers suspension bridge cables |
| gptkbp:bfsParent |
gptkb:software
|
| gptkbp:bfsLayer |
4
|