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Cardiods and Limacons
11
- Also called the limacon Pascal. Comes from the Latin
limax meaning snail or slug.
- When thinking of cardiods remember that cardio refers
to the heart. Cardiods, therefore, are graphed in the shape of a heart or apple.
Cardiods and Limaçons
By: Team Oscar
pg. 715-18
Limacon with inner loop
Use this table to plot the points:
r=a+bcos(theta)
b=3
a= 1
Equation
What is a Cardiod?
Background and History
A heart shaped limacon. It is defined as resembles point on the radius (or circle) that rolls around the fixed radius of the same circle.
Basically just a heart shaped limacon.
Answers :
no need to copy!:D
What is a Limaçon?
A plane curve whose equation in polar coordinates
has one of the forms ρr=a+/-bcos(theta)
or r=a+/-bsin(theta)
and which reduces to a cardioid when a = b
*The ratio a to b is going to change the shape of the graph
Types of Limacons
How to graph it :
Limacons w/ inner loop: if a/b <1
Cardiod (heart shaped): if a/b=1
Dimpled: if 1<a/b<2
Convex: if a/b >= 2