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factory except what they call a "direct" demonstration, or a "demonstration why", - by which they mean a demonstration which employs only general concepts and concludes nothing but what would be an item of a definition if all its terms were f̶u̶l̶l̶y̶ distinctly defined themselves, the mathematicians, on the contrary, entertain a contempt for that style of reasoning, and glory in what the philosophers stigmatize as "mere" indirect demonstrations, or "demonstrations that". Those propositions which can be deduced from others by reasoning of the kind that the philosophers extol are set down by mathematicians as "corollaries". That is to say, they are like these geometrical truths which Euclid did not deem worthy of particular mention, and which his editions inserted with a garland, or corolla, against each in the margin, implying perhaps that it was then that such humor might attach to these insignificant