An Introduction to Graphical Algebra for the Use of High Schools

Cover An Introduction to Graphical Algebra for the Use of High Schools
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2 V76 -^=-±\/t^-«- In this we see that if — > is less than a, the quantity lo ^ ■' under the radical will be negative in sign, and the extraction of its square root is impossible. This would mean that an impossible condition had been assumed. In the prior example we made a = i6.
// If — ; = rt = i6, then b = i6. The value of x would ID then be \b z= 4.
In general we find that when the distance around b' h any field of area a is least, —^^. A or — = 4^, ^ ID 4 Stated in words this means that one
... fourth of the distance around the field is equal to the square root of the area. This can only be true when the field is square in form.
7. Let us have given us the two equations J + ^ = 4, (9) J + -^-= 2 (10) GRAPHICAL ALGEBRA.
23 Viewing these equations from a common-sense standpoint, we should at once decide that whatever y and x may be, their sum cannot be botli 4 and 2. But it is also true that their sum may be either 4 or 2. If X = 1000, then if y be — 996 the sum will be 4, while if y be — 998 it will be 2.


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