k (−9|6|6) r = 11 k x_{1} A_{1} A_{2} x_{2} B_{1} B_{2} x_{3} C_{1} C_{2} A_{1} A_{2} B_{1} B_{2} C_{1} C_{2} E A_{2} B_{2} E

\begin{matrix}−2 \\ −1 \end{matrix}

k_{12} x_{1}x_{2} k_{12} 1 2 x_{3}

(−7|− 3|x_{3}) ∈

k (1|6|1)

k k : (x_{1}+

9)^{2}+ (x_{2}− 6)^{2}+ (x_{3}− 6)^{2} = 11^{2}

k∩ x_{1} x_{2} = x_{3} =

0(x_{1}+ 9)^{2}+ 6^{2}+

6^{2} = 11^{2}

x_{1} = −9±7A_{1}(−2|0|0)undA_{2}(−16|0|0)

k∩ x_{2} x_{1} = x_{3} =

09^{2}+ (x_{2}−

6)^{2}+

6^{2} = 11^{2}

x_{2} = 6±2B_{1}(0|4|0)undB_{2}(0|8|0)

k∩ x_{3} x_{1} = x_{2} =

09^{2}+

6^{2}+ (x_{3}−

6)^{2} = 11^{2}

x_{3} = 6±2C_{1}(0|0|4)undC_{2}(0|0|8)

MA_{2} = r−7−6−6, MB_{2} = r92−6 n′ = MA_{2}× MB_{2} = r48−9640 = 8r6−125

n⃗_{0} = \frac{n′}{|n′|} = \frac{8}{\sqrt{205}}r6−125, n⃗ = 11n⃗_{0} = \frac{88}{\sqrt{205}}r6−125 ≈ r4,61−9,223,84

N⃗ = M⃗+n⃗ ≈ r−4,39−3,229,84, S⃗ = M⃗−n⃗ ≈ r−13,615,22,16

1 1 1 2 2 2 −9 x_{1} x_{2} x_{3}

n⃗ φ

12(−9|6|0) x_{1}x_{2} k_{12}

M_{12}B_{2} = r920 r_{12} =

\overline{M_{12}B_{2}} =

\sqrt{85} A_{12} =

r_{12}^{2}π = 85π k_{2} : (x_{1}+ 9)^{2}+ (x_{2}−