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GXWeb Cardioid
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GXWeb Curve Construction Collection (like this one!)
About the Cardioid (from Wolfram MathWorld)
\(a\) 0 0 10 \(\theta\) -1.57 0 1.57
A cardioid (from the Greek for "heart") is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius. It is a degenerate case of the Limacon.
The Cardioid constructed here is the locus of point A where
\(a = Length(OC) = Length(BC)\)
and \(angle(AOD) = \theta\).
Cartesian Equation: \[ X^4+2\cdot X^2\cdot Y^2+Y^4\]\[=2\cdot X^3\cdot a+2\cdot X\cdot Y^2\cdot a+Y^2\cdot a^2 \]
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©2020 Compass Learning Technologies ← Live Mathematics on the Web ← GXWeb Curve Construction Collection ← GXWeb Cardioid