Author: Mentrard
Date: Fevrier 2008

Base mayor : B

Base menor : b

Altura : h

b

b

B

B

h

(B+b)

(B+b)

A\,\,=\,\, \frac{  (B+b) x h }{2 }

Animación

r = 1.5 (slider from -5 to 5, step 0.1)
C = (7.462258953168046, 2.2818181818181826)
B = (9, -5)
E = Midpoint(B, C)
A = (-1.7663911845729996, -4.963360881542698)
s = Circle(A, r)
a = Line(A, B)
b = Line(C, a)
D = Point(b)
P, a_1, b_1, c, d = Polygon(A, B, C, D)
a1 = OrthogonalLine(A, a_1)
B1, C1 = Intersect(s, a1)
d_1 = Line(B1, b)
t = 0 rad (slider from 0 to 3.141592653589793, step 0.017453292519943295)
G = Rotate(D, -(t), E)
F = Rotate(A, -(t), E)
H = Rotate(C, -(t), E)
I = Rotate(B, -(t), E)
Q, i, h, g, f = Polygon(I, H, G, F)
S = Intersect(h, g)
n = OrthogonalLine(S, h)
R = Intersect(g, f)
m = OrthogonalLine(R, f)
k = Circle(D, r)
F1 = Point(k)
c_1 = Line(F1, b)
β = Angle(F, E, A)
γ = Angle(G, E, D)
δ = Angle(H, E, C)
ε = Angle(I, E, B)
e = OrthogonalLine(D, a_1)
J = Intersect(e, a_1)
j = Segment(D, J)
K = Midpoint(c)
L = Midpoint(f)
M = Midpoint(a_1)
N = Midpoint(h)
O = Midpoint(j)
p = Circle(C, r)
q = Circle(R, r)
c1 = Circle(B, r)
d1 = Circle(S, r)
l = Line(D, J)
Z, A1 = Intersect(k, l)
T = Intersect(c_1, m)
D1 = Midpoint(T, Z)
V = Intersect(d_1, n)
E1 = Midpoint(B1, V)
u = Vector(D1, F1)
v = Vector(D1, T)
w = Vector(E1, V)
z = Vector(E1, B1)
b1 = OrthogonalLine(C, c)
e1 = OrthogonalLine(B, h)
f1 = Segment(Z, T)
G1 = Intersect(b1, f1)
g1 = Segment(B1, V)
H1 = Intersect(e1, g1)
I1 = Midpoint(Z, D)
J1 = Midpoint(G1, C)
K1 = Midpoint(T, R)
L1 = Midpoint(V, S)
M1 = Midpoint(B, H1)
N1 = Midpoint(A, B1)
O1 = Midpoint(J1, K1)
P1 = Midpoint(N1, M1)
Q1 = Midpoint(M1, L1)
R1 = Midpoint(I1, J1)
u1 = Vector(R1, J1)
v1 = Vector(R1, I1)
w1 = Vector(O1, J1)
z1 = Vector(O1, K1)
h1 = Vector(P1, M1)
i1 = Vector(P1, N1)
j1 = Vector(Q1, L1)
k1 = Vector(Q1, M1)
S1 = (7.6275482093663936, -8.95785123966942)
U1 = (9.85895316804408, -8.98539944903581)
V1 = (-1, -8)
W1 = (11, -8)
Z1 = (11.015977961432508, -10.417906336088151)
A2 = (-1.0225895316804376, -10.500550964187326)
poly1, v1_1, w1_1, z1_1, a2 = Polygon(V1, W1, Z1, A2)