Proportions Of Numbers And Magnitudes

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Issue:

Miscellaneous

 

Written by:

Martin L

 

Date added:

September 6, 2014

 

Level:

University

 

Grade:

A

 

No of pages / words:

3 / 835

 

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8957 times

 

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Essay content:

Numbers allow for measurement and degrees of ordinal position through which one can better compare quantity. In short, magnitudes tell you how much there is, and numbers tell you how many there are. This is cause for differences in comparison among them. Euclid's definition five in Book Five of the Elements states that " Magnitudes are said to be in the same ratio, the first to the second and the third to the fourth, when, if any equimultiples whatever be taken of the first and third, and any equimultiples whatever of the second and fourth, the former equimultiples alike exceed, are alike equal to, or alike fall short of, the latter equimultiples respectively taken in corresponding order...
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This is cause for differences in comparison among them. Euclid's definition five in Book Five of the Elements states that " Magnitudes are said to be in the same ratio, the first to the second and the third to the fourth, when, if any equimultiples whatever be taken of the first and third, and any equimultiples whatever of the second and fourth, the former equimultiples alike exceed, are alike equal to, or alike fall short of, the latter equimultiples respectively taken in corresponding order...
displayed 300 characters

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