Teorema de l'altura
Author: Pep Bujosa

m

h

Gir

h

n

Translació

h

n

 \frac{ h }{n }

   h² = n · m

Deducció

Teorema de l'altura

=

 \frac{ m }{h } 

A = (0.04, -3)
B = (11, -3)
a = Segment(A, B)
c = Semicircle(A, B)
C = Point(c)
polígon1, b, c_1, a_1 = Polygon(C, A, B)
d = OrthogonalLine(C, c_1)
D = Intersect(d, c_1)
polígon2, b_1, c_2, d_1 = Polygon(C, D, B)
polígon3, d_2, c_3, a_2 = Polygon(C, A, D)
α = 0 rad (slider from 0 to 1.5707963267948966, step 0.017453292519943295)
C' = Rotate(C, α, C)
D' = Rotate(D, α, C)
B' = Rotate(B, α, C)
polígon2', b', c', d' = Polygon(C', D', B')
u = Vector(C, A)
e = 0 (slider from 0 to 1, step 0.1)
v: e * u
C'' = Translate(C', v)
D'' = Translate(D', v)
B'' = Translate(B', v)
polígon2'', b'', c'', d'' = Polygon(C'', D'', B'')
f = false