History of ratio and proportion

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history of ratio and proportion

Golden Ratio Quotes (47 quotes)

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Published 16.12.2018

Math Antics - Proportions

It is impossible to trace the origin of the concept of ratio because a theory of ratio and proportion as applied to numbers.

Proportionality

Ratio , Quotient of two values. In either case, a is the antecedent and b the consequent. Ratios arise whenever comparisons are made. They are usually reduced to lowest terms for simplicity. The ratio of the width to the height of a rectangle is called an aspect ratio, an example of which is the golden ratio of classical architecture. When two ratios are set equal to each other, the resulting equation is called a proportion. Info Print Cite.

Have you ever thought about what these two words really mean? They are often used together as a phrase, "ratio and proportion", but are they in fact different terms for the same mathematical concept? If asked the difference by a pupil, how might you respond? I have to admit that I did not consciously reflect on the exact meaning of ratio or proportion until I began my teacher training. I suspect that this won't come as a particular surprise, but should I be worried about the definitions of these terms? One of the difficulties we are often faced with in the classroom is familiarising children with the mathematical definition of a word which is also used in everyday language. Perhaps this applies to some extent to ratio and proportion?

Before you start analyzing similar triangles, you need to pick up a few more algebraic supplies.
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Breadcrumb

While the proportion known as the Golden Mean has always existed in mathematics and in the physical universe, it is unknown exactly when it was first discovered and applied by mankind. - In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second. Similarly, the ratio of lemons to oranges is or and the ratio of oranges to the total amount of fruit is or

Math [ Privacy Policy ] [ Terms of Use ]. Can you help me out? Ratios are one of those ideas that go too far back to be sure where they originated. The discussion of the topic in D. Smith's History of Mathematics begins this way: It is rather profitless to speculate as to the domain in which the concept of ratio first appeared. The idea that one tribe is twice as large as another and the idea that one leather strap is only half as long as another both involve the notion of ratio; both are such as would develop early in the history of the race, and yet one has to do with ratio of numbers and the other with the ratio of geometric magnitudes. Indeed, when we come to the Greek writers we find Nicomachus including ratio in his arithmetic, Eudoxus in his geometry, and Theon of Smyrna in his chapter on music.

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