Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Reflecting_telescopes
Architectural design Projectile motion Satellite dishes Planetary orbits |
| gptkbp:class |
Circle: eccentricity = 0
Ellipse: 0 < eccentricity < 1 Hyperbola: eccentricity > 1 Parabola: eccentricity = 1 |
| gptkbp:definedIn |
Curves obtained by intersecting a plane with a double-napped cone
|
| gptkbp:field |
gptkb:Mathematics
gptkb:geometry |
| gptkbp:hasEquation |
Second-degree polynomial equation in two variables
|
| gptkbp:historicalName |
Ancient Greece
|
| https://www.w3.org/2000/01/rdf-schema#label |
Conic sections
|
| gptkbp:includes |
gptkb:Circle
gptkb:Parabola gptkb:Hyperbola Ellipse |
| gptkbp:property |
Can be degenerate (point, line, intersecting lines)
Can be circumscribed about a triangle Can be degenerate Can be inscribed in a circle Can be represented in Cartesian coordinates Can be represented in polar coordinates Can be represented parametrically Defined by eccentricity Defined by locus of points Have applications in computer graphics Have applications in navigation Have axes of symmetry Have directrices Have foci Have reflective properties Symmetric curves Can be classified by discriminant of quadratic equation |
| gptkbp:relatedTo |
gptkb:Focus
Eccentricity Directrix Quadratic equations |
| gptkbp:studiedBy |
gptkb:Apollonius_of_Perga
|
| gptkbp:studiedIn |
gptkb:Algebraic_geometry
gptkb:Analytic_geometry gptkb:Projective_geometry |
| gptkbp:usedIn |
gptkb:Physics
gptkb:algebra gptkb:Optics Astronomy Engineering |
| gptkbp:bfsParent |
gptkb:Conics
|
| gptkbp:bfsLayer |
7
|