Abstract
Sir,—The great success with which optical researches are treated of in the publications of the Royal Society, must make me anxious to lay before the Society, in a few words, a concise and convincing demonstration of the theorem that in a ray of polarized light the vibrations are perpendicular to the plane of polarization, conformably to the views of MM. Fresnel and Cauchy, and not in the plane of polarization, as some other mathematicians have maintained. My demonstration is founded on the nature of dichroitic crystals, as tourmaline, sapphire, idocrase, &c. Any perfectly homogeneous crystal of this description presents two different tints of colours*
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