Exercicis sobre el teorema de Tales
Author: Pep Bujosa

Amagueu totes les dades i activeu només les imprescindibles per trobar totes les altres. Aneu repetint l'exercici, canviant les dades i movent l'angle inicial i els punts B, C, D i E.

a

b

c

d

e

f

g

h

i

A = (-1.2913725938627745, -2.727428118340718)
B = (1.5101712755306265, -2.727428118340718)
a_1 = Line(A, B)
α = 0.5061454830783556 rad (slider from 0 to 1.5707963267948966, step 0.017453292519943295)
B' = Rotate(B, α, A)
β = Angle(B, A, B')
b_1 = Line(A, B')
C = Point(a_1)
D = Point(a_1)
E = Point(b_1)
c_1 = Line(B, E)
d_1 = Line(C, c_1)
F = Intersect(b_1, d_1)
e_1 = Line(D, c_1)
G = Intersect(b_1, e_1)
a = Segment(A, B)
b = Segment(B, C)
c = Segment(C, D)
d = Segment(A, E)
e = Segment(E, F)
f = Segment(F, G)
g = Segment(E, B)
h = Segment(F, C)
i = Segment(G, D)
H = Midpoint(a)
I = Midpoint(b)
J = Midpoint(c)
K = Midpoint(d)
L = Midpoint(e)
M = Midpoint(f)
N = Midpoint(g)
O = Midpoint(h)
P = Midpoint(i)
text1: "a = " + a
text2: "b = " + b
text3: "c = " + c
text4: "d= " + d
text5: "e = " + e
text6: "f = " + f
text7: "g = " + g
text8: "h = " + h
text9: "i = " + i
j = true
k = true
l = true
m = true
n = true
o = true
p = true
q = true
r = true