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Hyperbola

Frae Wikipedia, the free beuk o knawledge
The image shaws a double cone in which a geometrical plane haes sliced aff pairts o the tap an bottom hauf; the boondary curve o the slice on the cone is the hyperbola. A double cone consists o twa cones stacked pynt-tae-pynt an sharin the same axis o rotation; it mey be generatit bi rotatin a line aboot an axis that passes through a pynt o the line.
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.

Taen frae "https://sco.wikipedia.org/w/index.php?title=Hyperbola&oldid=783041"
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