Proportions Of Numbers And Magnitudes Proportions of Numbers and Magnitudes In the Elements, Euclid devotes a book to magnitudes (Five), and he devotes a book to poesy (Seven). Both magnitudes and come stool quantity, however; magnitude is continuous while number is discrete. That is, numbers are composed of social units which can be used to disjoint the whole, while magnitudes can not be distinguished as parts from a whole, in that respectfore; numbers can be more accurately compared because there is a standard unit representing one of something. Numbers allow for measurement and degrees of ordinal lookout through which one can better compare quantity. In short, magnitudes tell you how much there is, and numbers tell you how legion(predicate) there are. This is cause for differences in comparison among them. Euclids definition volt in Book Five of the Elements states that " Magnitudes are said to be in the same ratio, the firs t to the second and the third to the fourth, when, i...If you require to pick up a full essay, order it on our website: BestEssayCheap.com
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