47.
48.
49.
50.
51.
52.
Center at (h, k), major axis horizontal, and vertices at (h ± a, k):
Center at (h, k), major axis vertical, and vertices at (h, k ± a):
For the ellipse, a^2 = b^2 + c^2 , and the eccentricity which is less than
1.
HYPERBOLA
With real (transverse) axis of length 2a, imaginary (conjugate) axis of
length 2b, and distance between foci of 2c:
Center at (0, 0), foci at (±c, 0), and vertices at (±a, 0):
Center at (0, 0), foci at (0, ±c), and vertices at (0, ±a):
Center at (h, k), real axis horizontal, vertices at (h ± a, k):
Center at (h, k), real axis vertical, vertices at (h, k ± a):
For the hyperbola, c^2 = a^2 + b^2 , and eccentricity which is greater
than 1.
POLAR COORDINATES
RELATIONS WITH RECTANGULAR COORDINATES