A hyperbola is an open curve wi twa branches, the intersection o aplane wi baith halves o a double cone. The plane daes nae hae tae be parallel tae the axis o the cone; the hyperbola will be symmetrical in ony case.
Inmathematics, ahyperbola is a type osmuith curve, lyin in a plane, defined bi its geometric properties or bi equations for which it is the solution set. A hyperbola haes twa pieces, criedconnectit components or branches, that are mirror images o ilk ither an resemble twa infinitebows. The hyperbola is ane o the fower kinds oconic section, furmed bi the intersection o aplane an a doublecone. (The other conic sections are theparabola, theellipse, an thecircle; the circle is a special case o the ellipse). If the plane intersects baith halves o the double cone but daes nae pass through the apex o the cones then the conic is a hyperbola.