 II. 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.' III. " Ratio is a mutual relation of two magnitudes of the same kind...  Proceedings of the Edinburgh Mathematical Society - Page 100by Edinburgh Mathematical Society - 1897Full view - About this book
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...' when the greater contains the lese ' a certain number of times exact«ly/ III. Ratio is a mutual relation of two ' magnitudes of the same kind to * one another, in respect of quanti' ty/ IV. Magnitudes are said to have a ratio to one another, when the less can IK- multiplied... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...is, when the greater eontains the less a uertn.ii! number of times exaetly. III. Ratio is a mutual relation of two magnitudes, of the same kind, to one another, in respeet of quantity. IV. Magnitudes are said to be of the same kind, when the less ean be multiplied... | |
 | George Crabb - Encyclopedias and dictionaries - 1831 - 426 pages
...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... | |
 | Alexander Jamieson - Logic - 1835 - 312 pages
...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... | |
 | George Crabb - Industrial arts - 1835 - 378 pages
...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... | |
 | Mathematics - 1836 - 488 pages
...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... | |
 | Alexander Jamieson - Logic - 1837 - 312 pages
...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,... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...magnitudes are multiples that contain them, respectively, the same number of times. 6. Ratio is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity. 7. Magnitudes are .said to \ie homogeneous, or of the same kind, when the less can be multiplied... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...is, ' when the greater contains the less a certain number of times exactly.' III. 'Ratio is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity.' * IV. Magnitudes are said to have a ratio to one another, when the less can be multiplied... | |
 | Euclides - 1840 - 192 pages
...respectively the same number of times, they are said to be EQUIMULTIPLES of the latter). 3. RATIO is the relation of two magnitudes of the same kind to one another in respect of quantity. 4. Magnitudes are said to have a ratio to one another (or to be of the same kind) when one... | |
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