Tangent Construction Made Hard

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Kampyle of Eudoxus

r = sec 2 t

inverse of the quadrifolium

r = sec 2t

double folium

r = sin t sin 2t

right strophoid

r = sec t cos 2t

trifolium

r = cos 3t

Freeth's nephroid

r = 1 + 2 sin(t/2)

Cayley's sextic

r = cos 3 t/3

limacon of Pascal

r = a cos t + b

trisectrix

r = sec t - 4cos t

cissoid of Diocles

r = sin t tan t

conchoid of Nicomedes

r = b + a sec t

conchoid of de Sluze

r = k2 cos t / a + a sec t

witch of Agnesi

x = tan t
y = cos 2 t

lemniscate of Gernono

x = cos t
y = sin t cos t

falling sand

y2 (1 - x2) =1

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