This post continues to document more curves in addition to what we covered in Set 1 (A-D), Set 2 (E-H) & Set 4 (S-Z). You can download the blend file from my Gumroad page.
Involute of a Circle
Curve Equation
x = a(cos(t) + t sin(t))
y = a(sin(t) - t cos(t))
Kampyle of Eudoxus
Curve Equation
a2x4 = b4(x2 + y2)
Kappa Curve
Curve Equation
y2(x2 + y2) = a2x2
Lemniscate of Bernoulli
Curve Equation
(x2 + y2)2 = a2(x2 - y2)
Limacon of Pascal
Curve Equation
(x2 + y2 - 2ax)2 = b2(x2 + y2)
Lissajous Curves
Curve Equation
x = a sin(nt + c)
y = b sin(t)
Lituus Curve
Curve Equation
r2 = a2/θ
Parabola
Curve Equation
y = ax2 + bx + c
Pearls of Sluze
Curve Equation
yn = k (a - x)p xm
Pursuit Curve
Curve Equation
y = cx2 - log(x)
Quadratrix of Hippias
Curve Equation
y = x cot (πx/2a)
Right Strophoid
Curve Equation
y2 = x2 (a-x)/(a+x)
