 | Dennis M'Curdy - 1846 - 166 σελίδες
...one, when the less is a measure of the greater, or is contained a certain number of times in it. 2. A greater magnitude is said to be a multiple of a less one, when the greater is measured by the less, or contains it a certain number of times. A. There is... | |
 | Henry McMurtrie - 1847 - 268 σελίδες
...scratch the earth in search of food. RA'TIO, Geom., Lat., ratio, proportion. Defined by Euclid as " a mutual relation of two magnitudes of the same kind to one another in respect of quantity," and by Leslie as " a certain mutual habitude of two homogeneous magnitudes with respect... | |
 | Euclides - 1848 - 52 σελίδες
...greater ; that is, ' when the less is contained a certain number of times exactly in the greater.' II. A greater magnitude is said to be a multiple of a...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... | |
 | Henry McMurtrie - 1851 - 272 σελίδες
...scratch the earth in search of food. RA'TIO, Geom., Lat., ratio, proportion. Defined by Euclid as " a mutual relation of two magnitudes of the same kind to one another in respect of quantity," and by Leslie as " a certain mutual habitude of two homogeneous magnitudes with respect... | |
 | Euclides - 1853 - 176 σελίδες
...greater ; that is, when the less is contained a certain number of times exactly in the greater. II. A greater magnitude is said to be a multiple of a...contains the less a certain number of times exactly. III. Batió is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity.... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...greater ; that is, ' when the less is contained a certain number of times exactly in the greater.' 2. A greater magnitude is said to be a multiple of a...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.'... | |
 | Euclides - 1853 - 334 σελίδες
...the same number of times exactly, the former magnitudes are called " equimultiples " of the latter. III. Ratio is a mutual relation of two magnitudes of the same kind to one another in respect of quantity. OBS. It appears that for one magnitude to have a ratio to another, they must both be of... | |
 | Euclides - 1855 - 230 σελίδες
...be a part or submultiple of the greater, while the greater is said to be a multiple of the less. 2. A greater magnitude is said to be a multiple of a...contains the less a certain number of times exactly. SCHOLIUM. It is necessary to observe the distinction between the expressions "measures" and "is contained... | |
 | Euclides - 1855 - 270 σελίδες
...signifies the same as parí or aiiquoi portv and conveys a more distinct notion of the meaning. II. A greater magnitude is said to be a multiple of a...contains the less a certain number of times exactly. The meaning of this definition, taken In connexion with the preceding one, will be beat understood... | |
 | John Playfair - 1855 - 334 σελίδες
...contained a certain number of times, exactly, in the greater. 2. A greater magnitude is said to bo a multiple of a less, when the greater is measured...contains the less a certain number of times exactly. f 4. Magnitudes are said to be of the same kind, when the less can be multiplied so as to exceed the... | |
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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 
