Peaucellier-Lipkin Linkage (703)

To move the linkage give the Speed slider a non-zero value. 
If this fails to work (which can happen after clicking the  reset icon) then right-click on the BLUE point and select "Animation on" or alternatively just reload the page.

Frame DImensions

Animation Speed

Locus

Path

h_1 = 5 (slider from Δω to 20, step 0.1)
B: (0, h_1)
ω = 3.5 (slider from 2 * Δω to 20, step 0.1)
p = Circle(B, ω)
J = Point(p)
I = Point(p)
k_1 = CircleArc(B, I, J)
BasePoint_1 = Intersect(xAxis, yAxis)
h_2 = 5 (slider from Δω to 20, step 0.1)
C: (ω, h_2)
BasePoint_2: (ω, 0)
Δω = 0.37 (slider from 0 to 2, step 0.01)
P_1: (-Δω, h_1)
P_2: (-Δω, -Δω)
P_3: (ω + Δω, -Δω)
P_4: (ω + Δω, h_2)
P_5: (ω - Δω, h_2)
P_6: (ω - Δω, Δω)
P_7: (Δω, Δω)
P_8: (Δω, h_1)
C_1: (0, h_1 + Δω)
C_2: (ω, h_2 + Δω)
poly1, p_1, p_2, p_3, p_4, p_5, p_6, p_7, p_8 = Polygon(P_1, P_2, P_3, P_4, P_5, P_6, P_7, P_8)
c = CircumcircleArc(P_8, C_1, P_1)
d = CircumcircleArc(P_4, C_2, P_5)
A = (-3.92, 6.02)
D = (-1.26, 6.02)
E = (-1.26, 2.36)
F = (-3.92, 2.36)
poly2, a_1, d_1, e, f = Polygon(A, D, E, F)
a = 10.6 (slider from 0 to 20, step 0.1)
g = Circle(B, a)
k = Circle(C, 3 * a)
Speed = 0 (slider from -10 to 10, step 0.1)
A_1 = (-3.92, 2.22)
D_1 = (-1.26, 2.22)
E_1 = (-1.26, 0.3)
F_1 = (-3.92, 0.3)
poly2_1, a_2, d_2, e_1, f_1 = Polygon(A_1, D_1, E_1, F_1)
b = 4.7 (slider from 0 to 10, step 0.1)
h = Circle(C, ω)
q = Circle(B, a)
c_1 = Circle(B, C)
g_1 = Circle(C, B)
o = false
u = false
G = Point(k_1)
r = Circle(G, a)
i = Segment(G, B)
s = Circle(C, b)
H = Intersect(r, s, 1)
j = Segment(G, C)
H' = Mirror(H, j)
l = Segment(G, H)
m = Segment(G, H')
n = Segment(C, H')
t = Segment(C, H)
b_1 = Segment(H, H')
G' = Mirror(G, b_1)
H'_1 = Mirror(H, b_1)
l' = Segment(G', H'_1)
G'_1 = Mirror(G, b_1)
H'' = Mirror(H', b_1)
m' = Segment(G'_1, H'')
i_1 = Segment(B, G)
loc1 = Locus(G'_1, G)
q_1 = Circle(C, B)
r_1 = Circle(B, C)
K, L = Intersect(r_1, t)
M, Q = Intersect(q_1, i_1)
N = Intersect(m', m)
O = Intersect(l', l)
P = Intersect(l', m')
R = Intersect(i_1, l)