Kardioïed: Verskil tussen weergawes

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Laurens (besprekings | bydraes)
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Lyn 10:
 
==Vergelykings==
Aangesien die kardioïd 'n [[episikloïd]] met een punt is, is die [[parametriese vergelyking]]s daarvan:
Since the cardioid is an [[epicycloid]] with one cusp, its [[parametric equation]]s are
 
:<math> x(\theta) = \cos \theta + {1 \over 2} \cos 2 \theta, \qquad \qquad</math>
Lyn 16:
:<math> y(\theta) = \sin \theta + {1 \over 2} \sin 2 \theta. \qquad \qquad</math>
 
Die selfde vrom kan in [[polêre koördinate]] geefinieer word deur die vergelyking
The same shape can be defined in [[polar coordinates]] by the equation
 
:<math> \rho(\theta) = 1 + \cos \theta. \ </math> &nbsp;&nbsp;&nbsp;&nbsp;<font size="smaller" align="right">For a proof, see [[cardioid proofs]].</font>