In geometry, the unit hyperbola is the set of points ( x , y ) {\displaystyle (x,y)} in the Cartesian plane that satisfy the implicit equation x 2 − y 2 = 1 {\displaystyle x^{2}-y^{2}=1} . In the study of indefinite orthogonal groups, the unit hyperbola forms the basis for an alternative radial length r = x 2 − y 2 {\displaystyle \textstyle r={\sqrt {x^{2}-y^{2}}}} .
In geometry, the unit hyperbola is the set of points ( x , y ) {\displaystyle (x,y)} in the Cartesian plane that satisfy the implicit equation x 2 − y 2 = 1 {\displaystyle x^{2}-y^{2}=1} . In the study of indefinite orthogonal groups, the unit hyperbola forms the basis for an alternative radial length r = x 2 − y 2 {\displaystyle \textstyle r={\sqrt {x^{2}-y^{2}}}} .
Source: Wikipedia "Unit hyperbola" · CC BY-SA 4.0
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