by equations. In certain curves there are portions, such as ovals, disconnected from the rest of the curve. By properly assigning the values of the constants, these ovals may be reduced to single points. These singular points may exist upon a branch of a curve, or may be entirely isolated from it; yet these points fulfil by their positions the law of the curve as perfectly as any of those which, by their juxtaposition and continuity, form any of its branches.
Miracles, therefore, are not the breach of established laws, but they are the very circumstances that indicate the existence of far higher laws, which at the appointed time produce their pre-intended results.
In 1835, the British Association visited Dublin. I had been anxious to promote this visit, from political as well as scientific motives. I had several invitations to the residences of my friends in that hospitable country; but I thought I could be of more use by occupying apartments in Trinity College, which had kindly been placed at my disposal by the provost and fellows.
After I had enjoyed the college hospitality during three or four days, I was walking with an intimate friend, who suggested to me that I was giving great cause of Offence to my learned hosts. Not having the slightest idea how this could have arisen, I anxiously inquired by what inadvertence I had done so. He observed that it arose from my dress. I looked at the various articles of my costume with a critical eye, and could discover nothing exaggerated in any portion of it. I then begged my friend to explain how I had unconsciously offended in that respect He replied, "Your waistcoat is of a bright green." I became still more puzzled, until he remarked that I was wearing O'Connell's colours in the midst of the Protestant University, whose guest I was.
