Date: 12 Leden 2013

$ \text{Zvolme sečnu procházející středem }S. $

m(M;k)=|MA| ·|MB|

$ r $

$ v $

$ r $

⇒m(M;k)=(v-r)·(v+r) 

⇒m(M;k)=v^{2}-r^{2}

$ \text{pro M uvnitř kružnice nebo na ní je }v ≤r⇒m(M;k)≤0 \text{ v souladu s definicí}$

S = (0, 5)
B_1 = (0, -5)
c = Circle(S, B_1)
M = (17.079198366133006, 7.2699915602212215)
a = Line(M, S)
A, B = Intersect(c, a)
R = 2.5
d = Circle(M, R)
e = Circle(A, Radius[d])
f = Circle(S, Radius[e])
g = Circle(B, Radius[e])
b = OrthogonalLine(B, a)
h = OrthogonalLine(S, a)
i = OrthogonalLine(M, a)
j = OrthogonalLine(A, a)
C = Intersect(d, i, 2)
D = Intersect(f, h, 2)
E = Intersect(g, b, 1)
F = Intersect(f, h, 1)
G = Intersect(e, j, 1)
R1 = 3.2
k = Circle(M, R1)
p = Circle(A, Radius[k])
q = Circle(S, Radius[p])
r = Circle(B, Radius[p])
J = Intersect(k, i, 2)
K = Intersect(q, h, 2)
L = Intersect(p, j, 1)
N = Intersect(q, h, 1)
O = Intersect(r, b, 1)
H = Midpoint(E, F)
I = Midpoint(F, G)
P = Midpoint(D, C)
u = Vector(H, F)
v = Vector(H, E)
w = Vector(I, F)
z = Vector(I, G)
l = Vector(P, D)
m = Vector(P, C)
n = Segment(B, O)
s = Segment(A, L)
t = Segment(S, N)
a_1 = Segment(S, K)
b_1 = Segment(M, J)

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)