to two curves, mnr and MNR, for the same abscissa; and let b and B be constants and represent their intercepts on the Y-axis; i.e. let On = b, and ON = B.
Does not this diagram fairly represent the data of the proposition? You see, when we take a negative abscissa, so as to make a greater than b, we are on the left-hand branch of the curve, and A is also greater than B; and again, when a is equal to b, we are crossing the Y-axis, where A is also equal to B.
Nie. It seems fair enough.
Min. But the conclusion does not follow? With a positive abscissa, A is greater than B, but a less than b.
Nie. We cannot deny it.
Min. What then do you suppose would be the effect on a simple-minded student who should wrestle with this terrible theorem, firm in the conviction that, being in a printed book, it must somehow be true?
Nie. (gravely) Insomnia, certainly; followed by acute Cephalalgia; and, in all probability, Epistaxis.
Min. Ah, those terrible names! Who would suppose
