 | Euclides - 1846 - 292 pages
...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. in. Ratio is a mutual relation of two magnitudes of the same kind to one another in respect of quantity.... | |
 | Euclides - 1846 - 272 pages
...aliquot part, or a submultiple of a greater, when the less measures the greater. 2. A greater is called a multiple of a less, when the greater is measured by the less. 3. Ratio is a mutual relation of two magnitudes of the same kind, in respect of quantity. 4. Magnitudes... | |
 | Dennis M'Curdy - Geometry - 1846 - 166 pages
...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 - Encyclopedias and dictionaries - 1847 - 268 pages
...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 to quantity... | |
 | Henry McMurtrie - 1851 - 272 pages
...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 to quantity... | |
 | Euclides - Geometry - 1853 - 176 pages
...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 - Mathematics - 1853 - 400 pages
...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 - Geometry - 1853 - 334 pages
...the same number of times exactly, the former magnitudes are called " equimultiples " of the latter. III. Ratio is a mutual relation of two magnitudes...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 the same kind.... | |
 | Euclides - 1855 - 230 pages
...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 pages
...signifies the same as parà 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... | |
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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 
