 | Euclid - 1835 - 540 sider
...contained a certain number of times exactly in ' the greater.' II. A greater magnitude is said to be a multiple of a less, when the greater is measured...greater contains the less a certain number of times ex' actly.' III. ' Ratio is a mutual relation of two magnitudes of the same See N. ' kind to one another,... | |
 | John Playfair - 1835 - 336 sider
...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 one another, in respect of quantity. 4. Magnitudes are said to be of the same kind, when the less can be multiplied so as to exceed the... | |
 | Alexander Jamieson - 1835 - 312 sider
...applied to ratio ; yet it seems that no plainer word could be found. " Ratio," says Simpson, " is the mutual relation of two magnitudes, of the same kind, to one another, in respect of quantity." (See Illus. 3. An. 304.) Example 8. MOTION is another simple Idea, on which ARISTOTLE, and the SCHOOLMEN... | |
 | George Crabb - 1835 - 378 sider
...with a cone form the subject of conic sections, which is a branch of sublime geometry. Ratio is the mutual relation of two magnitudes of the same kind to one another, in respect to quantity, as 2 to 1, which is double ; the former of these is called the antecedent and the latter... | |
 | John Playfair - 1836 - 488 sider
...contained a certain number of times, exactly in the greater. II. A greater magnitude is said to be a multiple of a less, when the greater is measured...same kind, to one another, in respect of quantity. ». tii • mi*1: in -i1' '-iL- • i'"vji'- •• -wuJ (r* •J Magnitudes are- said to be of the... | |
 | 1836 - 488 sider
...contained a certain number of times, exactly, in the greater. 2. A greater magnitude is said to be a multiple of a less, when the greater is measured...contains the less a certain number of times exactly. 3. Ratio is a mutual relation of two magnitudes, of the same kind, to one another, in respect of quantity.... | |
 | Andrew Bell - 1837 - 290 sider
...lines ; those that have no common measure, incommensurable lines. 4. A greater magnitude is said to be a multiple of a less, when the greater is measured...contains the less a certain number of times exactly. 5. Equimultiples of magnitudes are multiples that contain them, respectively, the same number of times.... | |
 | John Playfair - 1837 - 332 sider
...contained a certain number of times, exactly, in the greater. 2. A greater magnitude is said to be a multiple of a less, when the greater is measured...contains the less a certain number of times exactly. 4. Magnitudes are said to be of the same kind, when the less can be multiplied so as to exceed the... | |
 | Alexander Jamieson - 1837 - 312 sider
...applied to ratio ; yet it seems that no plainer word could be found. " Ratio," says Simpson, " is the mutual relation of two magnitudes, of the same kind, to one another, in respect of quantity." (See II! an. 3. Art. 304.) Example 8. MOTION is another simple Idea, on which ARISTOTLE, and the SCHOOLMEN... | |
 | Euclides - 1840 - 192 sider
...this case the less is said to be a SUBMULTIPLE of the greater). 2. A greater magnitude is said to be a MULTIPLE of a less, when the greater is measured...contains the less a certain number of times exactly ; and when two magnitudes contain two others respectively the same number of times, they are said to... | |
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A LESS magnitude is said to be a part of a greater magnitude, when the less measures the greater, that is, ' when the less is contained a certain number of times exactly in the greater. 
