# Conic Sections

### Conics

Analytic geometry is roughly the same as plane geometry except that in analytic geometry, figures are studied in the context of the coordinate plane. Instead of focusing on the congruence of shapes like plane geometry, analytic geometry deals with the coordinates of shapes and formulas for their graphs in the coordinate plane. Much of analytic geometry focuses on the conics. A conic is a two-dimensional figure created by the intersection of a plane and a right circular cone. All conics can be written in terms of the following equation: Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 . The four conics we'll explore in this text are parabolas, ellipses, circles, and hyperbolas. The equations for each of these conics can be written in a standard form, from which a lot about the given conic can be told without having to graph it. We'll study the standard forms and graphs of these four conics, as well as the polar equations for the conics, which are useful for certain applications.

## Take a Study Break

### Star Trek gets SEXY

Chris Pine and Zoe Saldana heat up the red carpet!

### Are you afraid of relationships?

Auntie SparkNotes can help!

### Sexy starlet style

See every single look from the Met Gala!

Before the fame!

### 9 Scientific Inaccuracies in Iron Man 3

Click to see what they got wrong.

### Top 10 Predictions Sci-Fi Got WRONG

So wrong, they're WRONG.

### The 15 Most Awesome Robots, Ever

These Robots Rock!

### If You Like Game of Thrones...

...Then you'll LOVE these books!

## The Book

### Read What You Love, Anywhere You Like

Get Our FREE NOOK Reading Apps