Hart Linkage (707)

To move the linkage manually move the RED point.  To automate the movement 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 RED point and select "Animation on" or alternatively just reload the page.

Frame DImensions

Animation Speed

Locus

Paths

Drag

a = 14.8 (slider from 0 to 20, step 0.1)
h_1 = 5 (slider from Δω to 20, step 0.1)
B: (0, h_1)
ω = 20 (slider from 2 * Δω to 20, step 0.1)
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 = 0.72 (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_2 = 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)
Speed = 0 (slider from -10 to 10, step 0.1)
A_1 = (-3.92, 2.2)
D_1 = (-1.26, 2.2)
E_1 = (-1.26, 0.28)
F_1 = (-3.92, 0.28)
poly2_1, a_2, d_2, e_1, f_1 = Polygon(A_1, D_1, E_1, F_1)
b = 6.4 (slider from 0 to 20, step 0.1)
o = false
u = false
c = 15.2 (slider from 0 to 20, step 0.1)
RS: b * ω / a
g = LineBisector(B, C)
G = Point(g)
H = Point(g)
h = Segment(G, H)
I = Point(h)
k = Circle(I, b)
p = Circle(B, a)
q = Circle(C, a)
J = Intersect(k, p, 1)
K = Intersect(k, q, 1)
i = Segment(B, J)
j = Segment(C, K)
l = Segment(J, I)
m = Segment(I, K)
RC: a - b^(2) / a
r = Circle(B, RC)
L = Intersect(r, i, 1)
s = Circle(C, Radius[r])
M = Intersect(s, j, 1)
n = Segment(L, M)
N = Intersect(i, n)
O = Intersect(l, i)
P = Intersect(m, j)
Q = Intersect(n, j)
R = Intersect(l, m)
t = Circle(B, C)
c_1 = Circle(C, B)
S, V = Intersect(c_1, i)
T, U = Intersect(t, j)