14.2 Ellipse
Ellipse
Lessons
Notes:
ellipse: the sum of the distances from any point on an ellipse to each focus is constant and equal to the major axis $2a$.
$c= \sqrt{a^2  b^2}$ $a$: distance from the center to a vertex
$b$: distance from the center to a covertex
$c$: distance from the center to a focus
$e= \frac{c}{a}$ $e$: eccentricity; the larger the value of $e$, the more “squished” the ellipse

1.
properties of an ellipse
Sketch each ellipse and state the:
i) center
ii) major axis and vertices
iii) minor axis and covertices
iv) foci
v) eccentricity