hyperbola

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hyperbola
deriving the equation
Last Updated October 11, 2005
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Hyperbola

• The set of all co-planar points whose difference
  of the distances from two fixed points (foci) are
  constant.

foci
foci
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Hyperbola
Distance from center to vertex a
Distance from center to co-vertex b
Distance from center to foci c
b
a
c2 a2 b2
c
Length of transverse axis 2a
Length of conjugate axis 2b
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Hyperbola

• The set of all co-planar points whose difference
  of the distances from two fixed points (foci) are
  constant.

foci
foci
5
Hyperbola

• The set of all co-planar points whose difference
  of the distances from two fixed points (foci) are
  constant.

foci
foci
6
Hyperbola

• The set of all co-planar points whose difference
  of the distances from two fixed points (foci) are
  constant.

foci
foci
7
Hyperbola

• The set of all co-planar points whose difference
  of the distances from two fixed points (foci) are
  constant.

2a
foci
foci
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Hyperbola

• The set of all co-planar points whose difference
  of the distances from two fixed points (foci) are
  constant.

minus
2a
foci
foci
9
Hyperbola
(x, y)
P
foci
foci
F2
(c, 0)
F1
(-c, 0)
(0, 0)
PF1 - PF2 2a
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