Friso
Author: Angel

Construir un friso o cenefa

¿Cuál es la distancia real entre estos dos objetos?

1

Sobre el plano (cm)

Distancias reales (cm)

?

Ver la respuesta

Nuevos datos

t = 0 (slider from 0 to 2, step 0.1)
c: round(random() * 10.0 + 1.0 + 0.0 * t)
a: round(random() * 10.0 + 3.0 * t)
b = Mod(a, 8.0)
escala = If(b ≟ 0.0, 500.0, If[b ≟ 1.0, 1000.0, If[b ≟ 2.0, 5000.0, If[b ≟ 3.0, 10000.0, If[b ≟ 4.0, 20000.0, If[b ≟ 5.0, 50000.0, If[b ≟ 6.0, 100000.0, 200000.0]]]]]])
A = (5.314420782122338, 3.409353213192901)
B = (15.816768566127688, 7.452292404380802)
d = Segment(B, A)
C = Midpoint(B, A)
T6: "" + c + " cm"
D = (25.110881649318266, 3.0840592552812307)
E = (0.24912915178347356, 15.073465132597073)
F = (21.021471892714413, 14.980524001765168)
G = (20.8355896310506, -1.0518210667385757)
H = (0.29559971719942646, -1.005350501322623)
poly1, e, f, g, h = Polygon(E, F, G, H)
u = Vector(C, B)
v = Vector(C, A)
T10: "" + escala
T11: "" + c
result: c * escala
I = (24.04205864475135, 15.073465132597073)
J = (24.04205864475135, 11.030525941409174)
K = (44.02440177361109, 11.076996506825127)
L = (44.07087233902704, 14.980524001765168)
poly2, i, j, k, l = Polygon(I, J, K, L)
M = Point(i)
N = Point(poly2)
m = Segment(M, N)
O = Point(l)
P = Point(j)
n = Segment(O, P)
Q = Point(l)
R = Point(j)
p = Segment(Q, R)
o = false
T17: "" + escala + " x " + c
S = Point(poly2)
T = Point(poly2)
U = Intersect(m, p)
q = CircleArc(U, T, S)
T18: " x " + c
U' = Mirror(U, m)
T' = Mirror(T, m)
S' = Mirror(S, m)
r = Arc(Mirror[Circle[U, T], m], T', S')
T19: " x " + c
V = Point(q)
w = Vector(V, T)
W = Point(r)
z = Vector(W, T')
Z = (23.25205903268015, 7.452292404380802)
T13: "o sea " + result + " cm"
T14: "o sea " + (result / 100.0) + " m"
T2: "En  \; un  \; mapa  \; de  \; escala \;  \frac{ 1 }{" + escala + "}"
T5: "
 \frac{ 1 }{" + escala + "}"
T4: " dos objetos distan " + c + " cm."
T15: "o sea " + (result / 100000.0) + " km"