# M2.4.3

**exponents**.

### Learning from Slide Rules

In the days before calculators and personal computers an engineer always had a slide rule nearby. These days it is difficult to locate a slide rule outside of a museum.

I don't know how many of those who have used a slide rule ever thought of it as an analog computer, but that is really what it is. As such, the slide rule can be used to teach the modern view of the relationship between nature and mathematics and about the formalization of this concept known as isomorphism, which is one of the most pervasive and important concepts in mathematics.

### Geometric Addition + Logarithms = Geometric Multiplication

Mathematicians often argue that anything which can be represented numerically or algebraically can also be represented geometrically. This is perhaps true even to the

extent that simple numeric calculations can be demonstrated geometrically. The following example illustrates one such geometric process of addition.