Famous plane curves

Random Science or famous Quiz

Can you name the plane curves given their graphs?

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NumberCurveDefining equation (e.g.)
1(x,y) = a(cos3(t), sin3(t))
2(x,y) = (acos(t), bsin(t))
3(x,y) = 2aπ-1(t cot(t), t)
4(x,y) = a(3cos(t) - cos(3t), 3sin(t) - sin(3t))
5(x,y) = a(t - sin(t), 1 - cos(t))
6(x,y) = (t, sin(t))
7(x,y) = 2a(t, 1/(t2+1))
8-
9(x,y) = (a sec(t), b tan(t))
10x3 + y3 = 3xy
NumberCurveDefining equation (e.g.)
11y2(a2 - x2) = (x2 + 2ay - a2)2
12(x,y) = a(t - tanh(t), sech(t))
13(x,y) = a(cos(t), sin(t))
14r = a √(cos(2θ))
15y4-a2y2=x2-b4x2
16(x,y) = a(C(t), S(t))
173ax2 - ay2 + x3 + xy2=0
18r = a(1 - cos(θ))
19ax + by + c = 0
20r = a sin(θ)/θ

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Created Jan 28, 2011SourceReportNominate
Tags:famous, Numbers, plane