Popis konštrukcie

1.  \;  AB;|AB|=a

2. \; S;  - stred  \; AB

3. \; P;P∈SA→,|SP|=c/2

4.  \; p;P∈p,p⊥AB

5. \; AX→;|∠BAX|=α

6. D;D∈p∩AX→

7.  \; q;D∈q,q∥AB

8.  \; C;C∈q,|DC|=c,|DS|=|CS|

a = 4.9 (slider from c to 10 + c, step 0.1)
c = 3 (slider from 1 to 10, step 0.1)
α = 1.0297442586766543 rad (slider from 0 to 150°, step 0.017453292519943295)
text1: " \text{Zostrojte rovnoramenný lichobežník }ABCD\text{, ak je dané: }|AB|=" + (LaTeX[a]) + " ,|CD|=" + (LaTeX[c]) + " ,∠BAD=" + (LaTeX[α]) + " ."
A = (3.02, 1.18)
B = Point(Circle[A, a])
f = Segment(A, B)
S = Midpoint(A, B)
g = Ray(S, A)
d = Circle(S, c / 2)
C_{1} = Intersect(f, g)
D_{1} = Intersect(f, g)
P = Intersect(d, g)
h = OrthogonalLine(P, g)
X = Rotate(B, α, A)
β = Angle(B, A, X)
i = Ray(A, X)
D = Intersect(h, i)
j = Line(D, g)
e = Circle(D, c)
C = Intersect(e, j, 1)
q1, a_1, b, c_1, d_1 = Polygon(A, B, C, D)