Ellipse Flashcards
(20 cards)
is a set of points in a plane, the sum whose
distances from two fixed points is a constant.
Ellipse
The fixed points in an ellipse
are called:
foci/ focus
can also be defined as the locus of points whose
distance from the focus is proportional to the horizontal
distance from a directrix, where the ratio is less than 1.
Ellipse
Intersection of minor and major axis
CENTER
The line joining the vertices and the foci
MAJOR AXIS-
Line segment which is a perpendicular bisector of the major axis
MINOR AXIS-
A line such that the ratio of distance of the points on the conic section from focus to its distance
from directrix is constant
DIRECTRIX-
will always lie on the major (longest) axis, spaced equally each side of the center. (2c)
FOCI -
the length of the latus rectum is equal to
LATUS RECTUM-
length of the major axis
2a
length of the minor axis
2b.
distance from the center to the focus
(c)
is the intersection of the axes.
The center
endpoints of the major axis are called
vertices.
endpoints of the minor axis are called
the
co-vertices
line segment joining the vertices
major axis
line segment joining the co-vertices
minor axis
the larger denominator is in x
horizontal ellipse
the larger denominator is in y
vertical ellipse