©2020 Compass Learning Technologies → Live Mathematics on the Web → GXWeb Curve Construction Collection → GXWeb Cardioid

GXWeb Cardioid

Saltire Software, home of Geometry Expressions and GXWeb

GXWeb Curve Construction Collection (like this one!)

About the Cardioid (from Wolfram MathWorld)

 

---

 

This document requires an HTML5-compliant browser. $a$ ▶ 0 3 10 $\theta$ ▶ -1.57 0.78 1.57 App generated by GXWeb

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: $$X^4+2\cdot X^2\cdot Y^2+Y^4$$ $$=2\cdot X^3\cdot a+2\cdot X\cdot Y^2\cdot a+Y^2\cdot a^2$$

Try this yourself with the tools below...

Back to Top

Jump to Model

Jump to Wolfram Alpha

 

---

---

 

Construct your own Model with GXWeb

Back to Top

Jump to Model

 

---

---

 

WolframAlpha: CAS+

The powerful Wolfram Alpha online CAS engine will answer almost anything you care to ask - within reason! From the continued fraction of pi to Solve x^2=x+1 to the population of Australia!

Submit Build your own widget »Browse widget gallery »Learn more »Report a problem »Powered by Wolfram|Alpha Terms of use Share a link to this widget: More Embed this widget »

Back to Top

Jump to Model

Jump to GXWeb

 

---

---

 

Back to Top

Jump to Model

Jump to GXWeb

Jump to Wolfram Alpha

 

---

---

 

Behind the Scenes

 

Learn How: Create your own GXWeb Assessment Task

Learn How 2: Take GXWeb to the Next Level

View JavaScript GXWeb Code (gxcardioid.js)

Back to Top

Jump to Model

Jump to GXWeb

Jump to Wolfram Alpha

---

---

 

©2020 Compass Learning Technologies ← Live Mathematics on the Web ← GXWeb Curve Construction Collection ← GXWeb Cardioid

 

---