1 / 14

9.2 Graphing Polar Equations

9.2 Graphing Polar Equations. Polar Form. When you are graphing equations in polar form, you graph them on a polar coordinate system. Polar Functions. Plotting Polar Equations. A curve generated by the equations below is called a rose. The Rose. The Lemniscate.

hudsont
Download Presentation

9.2 Graphing Polar Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 9.2 Graphing Polar Equations

  2. Polar Form • When you are graphing equations in polar form, you graph them on a polar coordinate system.

  3. Polar Functions

  4. Plotting Polar Equations

  5. A curve generated by the equations below is called a rose. The Rose

  6. The Lemniscate • In 1694 Jakob Bernoulli published his work Acta Eruditorum in which he called the curve generated by the equations below a lemniscus which is latin for “pendant ribbon”.

  7. The Lemniscate

  8. The Limaçon • AKA the Limaçon of Pascal. • Was first investigated by Dürer in 1525. • Later rediscovered by Étienne Pascal (father of Blaise Pascal). • Formally named by Roberval in 1650. • Limaçon comes from the latin limax which means “snail”.

  9. The Limaçon

  10. The Cardioid • The Cardioid is a type of Limaçon (the degenerate case where a=b). • First used by de Castillon in 1741. • Is named for its resemblance to a heart.

  11. The Cardioid

  12. The Spiral of Archimedes • This curve was first studied by Conon and then later by Archimedes in 225 BC.

  13. Homework!!!! Pg. 480 # 6-17 [5], 27

  14. References • http://mathworld.wolfram.com

More Related