|
gptkbp:instanceOf
|
gptkb:mathematical_concept
gptkb:conic_section
|
|
gptkbp:accessibleBy
|
gptkb:right
left
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)
|
|
gptkbp:isGraphOf
|
quadratic function
|
|
gptkbp:studiedBy
|
gptkb:Apollonius_of_Perga
|
|
gptkbp:symmetry
|
axis of symmetry
|
|
gptkbp:usedIn
|
gptkb:computer_graphics
gptkb:architecture
gptkb:astronomy
gptkb:mathematics
gptkb:optics
gptkb:parabolic_flight_(zero_gravity_simulation)
engineering
fountains
mechanics
physics
ballistics
bridge arches
parabolic antennas
parabolic microphones
parabolic reflectors
parabolic troughs
solar cookers
suspension bridge cables
|
|
gptkbp:bfsParent
|
gptkb:Asana
|
|
gptkbp:bfsLayer
|
5
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Parabola
|