conjugate solution

The two conjugate solution circles are related by inversion, by the following argument.

One solution circle excludes the given circles that are enclosed by its conjugate solution, and vice versa.

Solutions to Apollonius' problem generally occur in pairs; for each solution circle, there is a conjugate solution circle (Figure 6).

In particular, the qualitative behavior of the system depends crucially on whether the quadratic equation for γ has one real solution, two real solutions, or two complex conjugate solutions.

Anti-IgG enzyme conjugate solution was added to the wells, incubated for 30 minutes, washed, and freshly prepared substrate was added before incubating the plate in the dark for 10 minutes.