Posts tagged 'have-a-ratio'

G.184 magnitudes having a ratio

Magnitudes are said to:term:**have a ratio** <have-a-ratio> to one another which are capable, when multiplied, of exceeding one another.

G.188 magnitudes ratio greater

Of magnitudes which have a ratio to the same, that which has a greater ratio is greater; and that to which the same has a greater ratio is less.

G.202 there magnitudes others

If there be three magnitudes, and others equal to them in multitude, which taken two and two are in the same ratio, and if :term:`ex aequali <G.174>` the first be greater than the third, the fourth is greater than the sixth; if equal, equal; and, if less, less.