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Lectures on fundamental concepts of algebra and geometry (1911)

Young, John Wesley, 1879-1932, Denton, William Wells, Mitchell, Ulysses Grant · New York : Macmillan · leaf 87

An illustration from Lectures on fundamental concepts of algebra and geometry, 1911, leaf 87
inator ofa is less than the denominator of h. This arrangementclearly satisfies the fundamental assumptions Oi, 0^, O3.With this ordering the class has a first element, but nolast, and every element has an immediate successor. Butsome elements have immediate predecessors, while others(such as \y f,… … LECTURE VII 75 and then arranging them in order by reading them diag-onally as indicated. We thus obtain the arrangement: (7) h h h h h h h h h h h h - The relation < in this case means precedes in theorder in which the fractions are thus obtained. It isreadily seen that this arrangement of the…

Algebra · Geometry

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