[Treatise on Light by Christiaan Huygens]@TWC D-Link book
Treatise on Light

CHAPTER V
19/53

And in consequence I_i_ will be cut at E into equal parts by the line CM, to which DI and _di_ are parallel.

And because CM is the conjugate diameter to CG, it follows that _i_I will be parallel to _g_G.

Therefore if one prolongs the refracted rays CI, C_i_, until they meet the tangent ML at T and _t_, the distances MT, M_t_, will also be equal.

And so, by our hypothesis, we explain perfectly the phenomenon mentioned above; to wit, that when there are two rays equally inclined, but coming from opposite sides, as here the rays RC, _rc_, their refractions diverge equally from the line followed by the refraction of the ray perpendicular to the surface, by considering these divergences in the direction parallel to the surface of the crystal.
30.

To find the length of the line N, in proportion to CP, CS, CG, it must be determined by observations of the irregular refraction which occurs in this section of the crystal; and I find thus that the ratio of N to GC is just a little less than 8 to 5.


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