Some review and more on the ellipse.

1. The Ellipse
An ellipsoid with a view Ellipse avec vue sur l'Arno

2. Sketch the parabola defined by each equation, showing the coordinates of the
focus and the equation of the directrix. Also write the equation of the axis of
symmetry and the coordinates of the vertex.

3. Focal
Radii

4. The Anatomy of The Ellipse
B1 P
b
a a
A1
A2 c O c F1
F2
b
B2
O is the CENTRE

5. B1
b
a a
A1
A2 c O c F1
F2
b
B2

6. The Pythagorean Property B1
a
b
A1
A2 a c F1
F2
b 2
c2 = a 2
b+
B
2
c = a 2 - b2
Vertical Ellipse
Horizontal Ellipse