Funzione di duplicazione della corda
( muovi  P, oppure attiva l'animazione
cliccando sul triangolino in basso )

X

Y

$ y=x \; \sqrt{4-x^2} $

P = Point(c)
O = (0, 0)
i = Segment(O, P)
A_1, A = Intersect(c_1, i)
U = (1, 0)
A': Mirror[(-x(A) + y(A) * ί + 1)^(2), yAxis] + 1
h_1 = Segment(O, A')
b = Segment(U, A')
d = Circle(O, A)
X'_1, X = Intersect(d, xAxis)
u = Vector(O, X)
h = Circle(O, A')
B_1, Y = Intersect(h, yAxis)
w = Vector(O, Y)
C: Y + X
z = Vector(X, C)
β = Angle(A', U, O)
f(x) = x * sqrt(4 - x^(2))
e = Segment(O, A)
α = Angle(A, U, O)
a = Segment(U, A)
D, B = Intersect(c_2, i)
B': (B + 1)^(2) - 1
j = Segment(O, B)
k = Segment(O, B')
U' = (-1, 0)
l = Segment(U', B)
m = Segment(U', B')
p = Circle(O, B)
X', F = Intersect(p, xAxis)
v = Vector(O, X')
q = Circle(O, B')
Y', G = Intersect(q, yAxis)
n = Vector(O, Y')
E: X' + Y'
r = Vector(X', E)
α' = Angle(B, U', O)
β' = Angle(B', U', O)