ELLIPSOID : traces on the coordinate planes are ellipses 2 2 2 x - PDF document

Feb 28, 2024 •215 likes •254 views

ELLIPSOID : traces on the coordinate planes are ellipses 2 2 2 x 2 y 2 z 2 = 1 a b c ELLIPTIC PARABOLOID : traces are ellipses and parabolas z = x 2 + y 2 y = x 2 + z 2 HYPERBOLIC PARABOLOID : traces are hyperbolas and parabolas. z =

ELLIPSOID : traces on the coordinate planes are ellipses 2 2 2 x 2  y 2  z 2 = 1 a b c ELLIPTIC PARABOLOID : traces are ellipses and parabolas z = x 2 + y 2 y = x 2 + z 2
HYPERBOLIC PARABOLOID : traces are hyperbolas and parabolas. z = y 2 - x 2 y = z 2 - x 2 CONE : Traces are ellipses, hyperbolas and lines. z 2 = y 2 + x 2
HYPERBOLOID OF TWO SHEETS : Traces are ellipses and hyperbolas. x 2 + y 2 - z 2 = -1 HYPERBOLOID OF ONE SHEET : Traces are ellipses and hyperbolas. x 2 + y 2 - z 2 = 1

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