proposition,be less than B, w^hich is contrary to the supposition made.Nor can it be equal to b ; for, in that case, A should beequal to B^ also contrary to supposition. Since, therefore,a is neither less than nor equal to ^, it remains that it mustbe greater than b: Now let a and A be variables… … Does not this diagram fairly represent the data of theproposition ? You see, when we take a negative abscissa,so as to make a greater than ^, we are on the left-handbranch of the curve, and A is also greater than B; andagain, when a is equal to h, we are crossing the Z-axis,where A is also equal to…
Euclid · Geometry
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