What is the relationship between the angle of incidence ($i$), angle of refraction ($r$), and the speeds of light in medium 1 ($v_1$) and medium 2 ($v_2$) according to Huygens' principle for refraction?
From the derivations, $\sin i = \frac{v_1 \tau}{AC}$ and $\sin r = \frac{v_2 \tau}{AC}$. Dividing the two equations gives $\frac{\sin i}{\sin r} = \frac{v_1}{v_2}$.