 | Barnard Smith - 1857 - 740 pages
...be ' 140. Ratio is first denned as the relation which one quantity bears to another of the same kind in respect of magnitude, the comparison being made...what multiple, part or parts, one is of the other ; and it thus appears that the value of a ratio is correctly represented by the quotient of one of... | |
 | Isaac Todhunter - Algebra - 1858 - 530 pages
...so on. XXVI. RATIO. 369. Eatio is the relation which one quantity bears to another with respect to magnitude, the comparison being made by considering what multiple, part, or parts, the first is of the •cond. Thus in comparing 6 with 3, we observe that 6 has a certain magnitude... | |
 | Eucleides - 1860 - 396 pages
...the other. In the following definition given by Wood in his Algebra, this objection is removed: — "Ratio is the relation which one quantity bears to...what multiple, part or parts, one is of the other." In order that two magnitudes may be capable of comparison so as to determine their ratio, it is essential... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...ratio has been defined to be the relation which one number bears to another with respect to quotity ; the comparison being made by considering what multiple, part or parts, one number is of the other. An arithmetical ratio, therefore, is represented by the quotient which arises... | |
 | Isaac Todhunter - Algebra - 1863 - 302 pages
...no ' 20. XXXV. Ratio. 346. Ratio is the relation which one quantity bears to another with respect to magnitude, the comparison being made by considering what multiple, part, or parts, the first is of the second. Thus, for example, in comparing 6 with 3, we observe that 6 has a certain... | |
 | Euclides - 1864 - 448 pages
...ratio has been defined to be the relation which one number bears to another with respect to quality ; the comparison being made by considering what multiple, part or parts, one number is of the other. An arithmetical ratio, therefore, is represented by the quotient which arises... | |
 | John Walmsley - Logarithms - 1865 - 232 pages
...the other ; which latter mode will be understood from the following definition : — Definition. — Ratio is the relation which one quantity bears to...respect of magnitude ; the comparison being made by observing what multiple, part, or parts, the first is of the second. Now, we find what multiple, part,... | |
 | Robert Potts - 1865 - 528 pages
...ratio has been defined to be the relation which one number bears to another with respect to quatity ; the comparison being made by considering what multiple, part or parts, one number is of the other. An arithmetical ratio, therefore, is represented by the quotient which arises... | |
 | Isaac Todhunter - Algebra - 1866 - 580 pages
...+ c). XXVI. RATIO. 369. Ratio is the relation which, one quantity bears to another with respect to magnitude, the comparison being made by considering what multiple, part, or parts, the first is of the second. Thus in comparing 6 with 3, we observe that 6 has a certain magnitude with... | |
 | William Harding Girdlestone - 1867 - 368 pages
...quantity ? Are they not in reality synonymes? and might we not with equal propriety define ratio to be the relation which one quantity bears to another in respect of magnitude ? Indeed, in Algebra ratio is commonly defined as " the relation which one quantity bears to another... | |
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Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other. 
