Date: 12 Leden 2013

$S$

$M$

$T$

$A$

$B$

$v$

$r$

m(M;k)= |MA | · |MB |  = v ^2-r^2=t^2>0

$ M \text{ vnější - čtverec nad tečnou }t.$

$G$

$H$

$r$

$t$

 M \text{ vnitřní - čtverec nad polotětivou }h.

m(M;k)= -|MA| ·|MB|  = r^2-v ^2=-h^2<0

$t$

$ r $

$ v $

$ r $

$ h $

M \text{ je posuvný - zkus polohu vně i uvnitř kružnice}

S = (0, 5)
B_1 = (0, -5)
c = Circle(S, B_1)
M = (15, 0)
a, b = Tangent(M, c)
T = Intersect(c, a)
A = Point(c)
d = Line(M, A)
B_2, B = Intersect(c, d)
e = Segment(M, B)
f = Segment(A, B)
g = Segment(T, M)
mnohoúhelník1, h, i, j, k, C, D = Polygon(T, M, 4)
l = OrthogonalLine(M, e)
p = Circle(M, B)
E = Intersect(p, l, 2)
m = Segment(M, E)
n = OrthogonalLine(E, m)
q = OrthogonalLine(A, n)
F = Intersect(n, q)
mnohoúhelník2, m_1, e_1, f_1, a_1 = Polygon(M, E, F, A)
v = Segment(S, M)
s = Segment(S, T)
r = OrthogonalLine(M, v)
G, H = Intersect(c, r)
t = Segment(S, H)
mnohoúhelník3, b_1, c_1, d_1, g_1, I, J = Polygon(H, M, 4)
mnohoúhelník4, t_1, s_1, m_2 = Polygon(S, M, T)
mnohoúhelník5, s_2, m_3, h_1 = Polygon(M, H, S)
i_1 = Segment(M, G)
α = Angle(S, M, G)
β = Angle(S, T, M)

Tool: Chordála
2 kružnice
Input: c, d
Output: h

a, b, e, f = Tangent(c, d)
A, B_1 = Intersect(c, b)
B = Intersect(d, b)
C = Midpoint(A, B)
D = Center(c)
E = Center(d)
g = Segment(D, E)
h = OrthogonalLine(C, g)