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x(t) = 2cos(t) + cos(2t)The curve is traversed in a counterclockwise direction, starting at the right cusp (3,0) aty(t) = 2sin(t) - sin(2t), 0 ≤ t < 2π

x(t + 2π/3) = cos(2π/3)x(t) - sin(2π/3)y(t)and

y(t + 2π/3) = sin(2π/3)x(t) + cos(2π/3)y(t),the conditions (R1) of Lemma R are satisfied and the deltoid is rotationally symmetric with period 2π/3.

xranges from 1 to 9, so its inradius is 1 and its circumradius is 3.^{2}(t) + y^{2}(t) = 4cos(3t) + 5

d/dt [x(t) - z]y(t) = d/dt 4sinhas a zero at t = ±π/3. The corresponding points on S are Together with^{3}(t)cos(t)

and is about 86% more than the area of the deltoid.

FigureParametersPerimeter Area Centroid Incircle R = 1 6.283185 3.141593 Deltoid 16 6.283185 Convex hull 15.588457 11.691343 Circumcircle R = 3 18.849556 28.274334

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