 \text{Zostrojte rovnoramenný lichobežník }ABCD\text{, ak poznáte dĺžky základní }a,c\text{ a veľkosť vnútorného uhla }α.

Popis konštrukcie

2.\;S; \text{- stred }AB

4. \; p;P∈p,p⊥AB

6. \; D;D∈p∩\overrightarrow{AX}

7. \; q;D∈q,q∥AB

8. \; C;C∈q,|DC|=c,|DS|=|CS|

9. \;  \text{štvoruholník }ABCD 

a = 7 (slider from 1 to 10, step 0.1)
text3: "1.  \; AB;|AB|=" + (LaTeX[a]) + ""
A = (0.02, 0.22)
B = Point(Circle[A, a])
a_{2} = Segment(A, B)
f = Line(A, B)
S = Midpoint(a_{2})
c = 3.9 (slider from 1 to 10, step 0.1)
text5: "3. \; P;P∈\overrightarrow{SA},|SP|=\frac{" + (LaTeX[c]) + "}{2}"
d = Circle(S, c / 2)
P = Intersect(d, f, 1)
p = OrthogonalLine(P, f)
α = 1.0471975511965976 rad (slider from 0 to 180°, step 0.017453292519943295)
text7: "5. \; \overrightarrow{AB'};|∠BAB'|=" + (LaTeX[α]) + ""
B' = Rotate(B, α, A)
β = Angle(B, A, B')
g = Line(A, B')
D = Intersect(p, g)
q = Line(D, a_{2})
c_{2} = Circle(S, D)
C = Intersect(c_{2}, q, 2)
q1, a_1, b, c_1, d_1 = Polygon(A, B, C, D)