Author: Daniel Mentrard

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Un ángulo con el vértice fuera de la circunferencia
es igual a la semidiferencia de los arcos interceptados.

A = (-1, 8)
B = (-5, 8)
c = Circle(A, B)
E = (-1, -1)
F = (-5, -1)
e = Circle(E, F)
G = Point(c)
H = Point(c)
I = (8, 9)
a = Segment(G, I)
b = Segment(I, H)
J = Intersect(c, a, 2.0)
K = Intersect(c, b, 2.0)
f = CircleArc(A, K, J)
g = CircleArc(A, G, H)
L = Point(g)
M = Point(f)
α = Angle(K, A, J)
β = Angle(G, A, H)
T1: α + ""
T2: β + ""
γ = Angle(G, I, H)
N = Point(e)
O = Point(e)
P = (8.254545454545454, -0.503030303030302)
h = Segment(N, P)
i = Segment(O, P)
Q = Intersect(e, h, 1.0)
R = Intersect(e, i, 1.0)
k = CircleArc(E, N, O)
p = CircleArc(E, Q, R)
S = Point(k)
T = Point(p)
δ = Angle(R, E, Q)
ε = Angle(N, E, O)
T4: ε + ""
ζ = Angle(N, P, O)
U = (4.618181818181818, 4.345454545454547)
angle = 0 (slider from 0 to 1, step 1)
V = If(angle ≟ 1.0, U)
arc = 0 (slider from 0 to 1, step 1)
W = (5.678787878787879, -4.927272727272727)
Y = If(arc ≟ 1.0, W)
Z = Point(p)
C, D = Intersect(e, h)
A1, B1 = Intersect(e, i)
d = CircleArc(E, B1, D)
C1 = Midpoint(D, B1)
q = Circle(I, 2.0)
D1 = Intersect(q, a)
E1 = Intersect(q, b)
F1 = Midpoint(D1, E1)
r = Circle(P, 2.0)
G1 = Intersect(r, h)
H1 = Intersect(r, i)
I1 = Midpoint(G1, H1)
T10: "" + ζ
J1 = (18.133333333333333, 4.981818181818183)
K1 = (20.072727272727274, 11.860606060606061)
s = Circle(J1, 3.0)
L1 = Point(s)
M1 = Point(s)
j = Segment(K1, L1)
l = Segment(K1, M1)
N1, O1 = Intersect(s, j)
P1, Q1 = Intersect(s, l)
t = CircleArc(J1, Q1, O1)
c1 = CircleArc(J1, L1, M1)
η = Angle(L1, K1, M1)
θ = Angle(Q1, J1, O1)
ι = Angle(L1, J1, M1)
m = Segment(J1, Q1)
n = Segment(J1, O1)
a1 = Segment(J1, L1)
b1 = Segment(J1, M1)
R1 = (17.375757575757575, -0.6545454545454535)
S1 = (19.587878787878786, -0.6545454545454535)
d1 = Segment(R1, S1)
U1 = (12.92121212121212, 12.67878787878788)
V1 = (13, -6)
e1 = Line(U1, V1)
W1 = (17.466666666666665, -3.2303030303030296)
Z1 = (19.951515151515153, -3.199999999999999)
T7: "" + η + " =  \frac{ " + ι + "-" + θ + "}{ 2}"
T3: "ángulo=   \;  \frac{(" + β + ") - (" + α + ")}{2 }" + "= \; " + (0.5 * (β - α))
T5: "arco= " + ε + "- 2 · (" + ζ + ")" + "= " + (ε - 2.0 * ζ)