[Treatise on Light by Christiaan Huygens]@TWC D-Link bookTreatise on Light CHAPTER VI 3/34
And this wave will necessarily touch the circumference KS at R, since CB cuts this circumference at right angles.
Similarly, having taken any other point L in the curve, one can show that in the same time as the light passes along AL it will also have come along AL and in addition will have made a partial wave, from the centre L, which will touch the same circumference KS.
And so with all other points of the curve CDE.
Then at the moment that the light reaches K the arc KRS will be the termination of the movement, which has spread from A through DCK.
And thus this same arc will constitute in the medium the propagation of the wave emanating from A; which wave may be represented by the arc DN, or by any other nearer the centre A.But all the pieces of the arc KRS are propagated successively along straight lines which are perpendicular to them, that is to say, which tend to the centre B (for that can be demonstrated in the same way as we have proved above that the pieces of spherical waves are propagated along the straight lines coming from their centre), and these progressions of the pieces of the waves constitute the rays themselves of light.
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