 | Perry Fairfax Nursey - Industrial arts - 1830
...to another of the »ame kind, inrespect to magnitude or quantity." — Johnson's Dictionary. " Ratio is a mutual relation of two magnitudes of the same kind to one another in respect of quantity.'' — Euclid's Elements, book 5. "Byratio, is meant therelation which one quantity bears to another,... | |
 | Edinburgh Mathematical Society - Electronic journals - 1898
...text of Euclid there may be said to be two definitions, of which the first is " ratio is the (or a) relation of two magnitudes of the same kind to one another in respect of quantuplicity." It may be remarked that this definition has a rather curious history. Barrow, a most... | |
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A greater magnitude is said to be a multiple of a less, when the greater is measured by the less ; that is, ' when the greater contains the less a certain number of times exactly.' 3. ' Ratio is a mutual relation of two magnitudes of the same kind to... 
