# Conics - Ellipse

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##### Examples
###### Lessons
1. properties of an ellipse
Sketch each ellipse and state the:
i) center
ii) major axis and vertices
iii) minor axis and co-vertices
iv) foci
v) eccentricity
1. $(\frac{x-7}{5})^2 + (\frac{y+4}{3})^2=1$
2. $(\frac{x}{12})^2 + (\frac{y}{13})^2=1$
###### Topic 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 co-vertex
$c$: distance from the center to a focus

$e= \frac{c}{a}$ $e$: eccentricity; the larger the value of $e$, the more "squished" the ellipse