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Proportions Of Numbers And Magnitudes
Part 1 of Paper
....en). Both magnitudes and numbers represent quantity,
however; magnitude is continuous while number is discrete. That is, numbers are
composed of units which can be used to divide the whole, while magnitudes can
not be distinguished as parts from a whole, therefore; numbers can be more
accurately compared because ther.... Part 2 of Paper
....on to represent definition 5.5:
(m)a : (n)b :: (m)c : (n)d.
However, it is necessary to be more specific because of the way in which the
definition was worded with the phrase "the former equimultiples alike exceed,
are alike equal to, or alike fall short of….". Thus, if we take any four
magnitudes a, b, c, d, it is defined that if equimultiple m is taken of a and c,
and equimultiple n is taken of c and d, then a and b are in same ratio with c
and d, that is, a : b :: c : d, only if:
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| Number of words: 809 - Approximate pages: 3 |
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