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gptkbp:instanceOf
|
gptkb:mathematical_concept
|
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gptkbp:application
|
gptkb:Physics
gptkb:Optics
Astronomy
Engineering
Orbital mechanics
|
|
gptkbp:classificationByEccentricity
|
Circle: 0
Ellipse: 0 < e < 1
Hyperbola: e > 1
Parabola: e = 1
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|
gptkbp:definedIn
|
Curve obtained as intersection of a plane and a double-napped cone
|
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gptkbp:discoveredIn
|
Ancient Greece
|
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gptkbp:field
|
gptkb:Mathematics
gptkb:geometry
|
|
gptkbp:focusesOn
|
Yes
|
|
gptkbp:generalizes
|
gptkb:Circle
gptkb:Parabola
gptkb:Hyperbola
Ellipse
|
|
gptkbp:hasAsymptote
|
gptkb:Hyperbola
|
|
gptkbp:hasAxis
|
Yes
|
|
gptkbp:hasDirectrix
|
Yes
|
|
gptkbp:hasDual
|
Conic envelope
|
|
gptkbp:hasEquation
|
gptkb:Quadratic_equation_in_two_variables
Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0
|
|
gptkbp:hasLatusRectum
|
Yes
|
|
gptkbp:hasPolar
|
Pole and polar relationship
|
|
gptkbp:hasVertex
|
Yes
|
|
gptkbp:includes
|
gptkb:Circle
gptkb:Parabola
gptkb:Hyperbola
Ellipse
|
|
gptkbp:namedFor
|
gptkb:Apollonius_of_Perga
|
|
gptkbp:property
|
Eccentricity
Axis of symmetry
Directrix
Foci
Reflective property
|
|
gptkbp:relatedTo
|
gptkb:Analytic_geometry
gptkb:Projective_geometry
Quadratic curve
|
|
gptkbp:studiedBy
|
gptkb:Apollonius_of_Perga
|
|
gptkbp:studiedIn
|
High school mathematics
University mathematics
|
|
gptkbp:symbol
|
None (general term)
|
|
gptkbp:usedIn
|
Architectural design
Satellite orbits
Reflecting dishes
Telescope mirrors
|
|
gptkbp:bfsParent
|
gptkb:Quaternion
|
|
gptkbp:bfsLayer
|
6
|