Sdružené průměty kružnice
Author: Roman Hašek

ÚKOL: Sestrojte v Mongeově promítání sdružené průměty kružnice k, která leží v rovině kolmé na nákresnu.

x_{12}

p_{1}^{\rho}

$ n_{2}^{\rho} $

k_1

k_2

=A_2=B_2

D = (2, 8)
G = Point(xAxis)
F = Point(xAxis)
d = Segment(F, G)
n = Line(D, d)
A = Point(xAxis)
B = (12.227848085005071, 9.644604301499625)
a = Segment(A, B)
C = (4, -12)
b = Segment(A, C)
E = Point(n)
r = Segment(D, E)
S_1 = (7.934430435851682, -6.196626335031654)
e = OrthogonalLine(S_1, d)
S_2 = Intersect(e, a)
J = Point(e)
f = Segment(S_2, J)
c = Circle(S_2, r)
D_2, C_2 = Intersect(c, a)
g = Segment(D_2, C_2)
h = OrthogonalLine(S_1, b)
H = Intersect(h, b)
I = Point(h)
i = Segment(H, I)
j = OrthogonalLine(D_2, d)
k = OrthogonalLine(C_2, d)
K = Point(j)
l = Segment(D_2, K)
L = Point(k)
m = Segment(C_2, L)
D_1 = Intersect(i, l)
C_1 = Intersect(i, m)
p = Circle(S_1, r)
A_1 = Intersect(p, f, 1)
B_1 = Intersect(p, f, 2)
q = Circle(D_1, r)
M, N = Intersect(q, f)
s = Ellipse(M, N, D_1)