| κ | ||
| R(i₀,i₁,i₂) | ≡ | 0. |
As external observers we have a prior knowledge of this coordinate system; however, the NPO is given only the vectors X₁ and X₂ in the i₀ ⨉ i₁ and i₀ ⨉ i₂ planes. The NPO can reconstruct the entire geometry but the actual output Ξ obviously is constrained to lie in the plane of the input vector X. The following formulas are typical of the relations present.
| |Ξ₁| | ||
| tan β | = | —— |
| |Ξ₂| | ||
| cos Θ | = | cos 2β csc 2γ |
| cos 2β | |||
| cos 2Θ₁ | = | -1 + 2 | ——— |
| 1-cos 2γ | |||
cos Θ = cos Θ₁ cos Θ₂.
Figure 7—Geometry of the NPO
Figure 8—NPO run number 5
