The Teaching of Algebra Including Trigonometry

Cover The Teaching of Algebra Including Trigonometry
The Teaching of Algebra Including Trigonometry
Thomas Percy Nunn
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231) that the best label for this purpose would be the symbol " J 2 ".
Now the interesting thing about this suggestion is that the symbol J2 had hitherto been used to represent any number whose square was sufficiently near to 2 for the purpose in view (p. 94). Thus, regarding the line OX in Exercises II, fig. 62, as the positive half of the linear scale referred to above, J2 would not be the label of the point P, but could be attached ambiguously to any point sufficiently near to P. It follows
...that the proposal to use J2 as a label for P itself is, strictly speaking, a new departure. When examined more carefully the proposal is seen to raise the following im- portant question : Symbols such as 7 or f are not only labels for specific points on the line OX but are also symbols for numbers ; can it be said that J2, which we have now ^ The scheme in No. 5 is copied from Young, Concepts, etc. , p. 74.
NUMBER SYSTEMS 411 adopted as the label for the point P, is also the symbol for a number?


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