P

Cálculo cuarto proporcional

Ver construcción

\frac{a}{b}=\frac{c}{x}

Comprobación

a

c

b

x

Aleja

Acerca

+

-

+

+

-

-

A = (-3.170000000000001, 5.6)
B = (-3.2, 4.8)
C = (-3.2, 4)
r = 5 (slider from 1 to 5, step 0.05)
A1: A + (r, 0)
B1: B + (r, 0)
C1: C + (r, 0)
A' = Point(Segment[A + (0.1, 0), A1])
B' = Point(Segment[B + (0.1, 0), B1])
C' = Point(Segment[C + (0.1, 0), C1])
a = Segment(A, A')
b = Segment(B, B')
c = Segment(C, C')
D = (-2.48, -3.44)
l = Ray(D, D + (1, 0))
E = (6.1, 2.82)
m = Ray(D, E)
p = Circle(D, a)
F = Intersect(p, l)
q = Circle(F, c)
G, I = Intersect(q, l)
s = Circle(D, b)
H = Intersect(s, m)
a' = Segment(D, F)
c' = Segment(F, G)
b' = Segment(D, H)
b_1 = Segment(F, H)
f_1 = Line(G, b_1)
J = Intersect(f_1, m)
g_1 = Segment(G, J)
h_1 = Segment(H, J)
j = false
i = false
texto2: "\frac{" + (LaTeX[a]) + "}{" + (LaTeX[b]) + "}=\frac{" + (LaTeX[c]) + "}{x}"
d: (b * c / a)
texto3: "x=\frac{" + (LaTeX[b]) + "·" + (LaTeX[c]) + "}{" + (LaTeX[a]) + "}=" + (LaTeX[d]) + ""
k = true
f: a / b
texto4: "\frac{a}{b}=\frac{" + (LaTeX[a]) + "}{" + (LaTeX[b]) + "}=" + (LaTeX[f]) + ""
g: c / d
texto5: "\frac{c}{x}=\frac{" + (LaTeX[c]) + "}{" + (LaTeX[d]) + "}=" + (LaTeX[g]) + ""
texto10: "a=" + a + ""
texto11: "b=" + b + ""
texto12: "c=" + c + ""