Teorema de Tales
Author: Pep Bujosa
Date: 20-3-2007

Si moveu el punt lliscant, podreu observar diferents exemples per comprovar el teorema de Tales. Moveu també A, B i C.

Teorema de Tales

Proporció 1

Proporció 2

a = 9 (slider from 0 to 14, step 0.1)
A = (-4.8999999999999995, -5.166666666666667)
B = (15.094894308943093, -5.963609756097571)
b = Line(A, B)
c = Circle(A, a)
C = (7.69717073170732, 2.9687479674796746)
d = Line(A, C)
e = Line(C, B)
D = Intersect(c, d, 2)
f = Line(D, e)
E = Intersect(b, f)
g = Segment(A, D)
h = Segment(A, E)
i = Segment(D, C)
j = Segment(E, B)
k = Segment(D, E)
l = Segment(C, B)
T2: "\frac{ g }{ h}=" + (g / h)
T3: "i = " + i + "
j = " + j
T4: " \frac{ i }{ j}=" + (i / j)
T5: "k = " + k + "
l = " + l
T6: " \frac{ k }{ l} =" + (k / l)
T8: "g = " + g + "
g + i = " + (g + i)
T9: " \frac{ g }{g+i }=" + (g / (g + i))
T10: "h = " + h + "
h + j = " + (h + j)
T11: " \frac{ h }{h+j }=" + (h / (h + j))
m = true
n = true
text1: "g + i =" + (g + i)
text2: "h + j =" + (i + j)
text3: " \frac{ g+i }{h+j }=" + ((g + i) / (h + j))
T1: "g = " + g + "
h = " + h + ""