 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
 | John Playfair - Mathematics - 1806 - 320 pages
...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, to one another, in respect of quantity. Hook V. Magnitudes are said to be of the same kind, when the less can be multiplied so as... | |
 | Isaac Dalby - Mathematics - 1807 - 476 pages
...following Definition of Ratio it usually given in the 5th. Book of Euclid's Elements. " Ratio is a mutual relation of two -magnitudes of the same kind to one another in respect of quantity." This definition is frequently objected to as imperfect and obscure. And it seems difficult... | |
 | Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...Elements has likewise given what Dr Barrow calls a metaphysical definition of ratio : " Ratio is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity" This sentence, as it now stands, appears either tautological, or altogether devoid of meaning... | |
 | John Mason Good - 1813 - 714 pages
...is, when the greater contains the less a certain rtu «her of times exactly. 3. flatio is a mutual 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, when the less can be multiplied so... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...that is, when the greater contains the less a certain number of times exactly. HI. Ratio is a mutual relation of two magnitudes, of the same kind, to one another, in respect of quantity. IV. Magnitudes are said to be of the same kind, when the less can be multiplied so as to... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 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... | |
 | Alexander Jamieson - Logic - 1822 - 312 pages
...to ratio ; yet it seems that no plainer word could be found. "Katio," says Simpson, " is the mutual relation of two magnitudes, of the same kind to one another, in respect of quantity." (See Illus. 3. Art. 304.) Example 8. MOTION' is another simple Idea, on which ARISTOTLE,... | |
 | George Crabb - Industrial arts - 1823 - 704 pages
...contained by six quadrilateral figures, whereof every opposite two are parallel. Iffitio. Ratio is a mutual relation of two magnitudes of the same kind to one another in respect of quantity : thus the ratio of 2 to 1, or of AB to AG, fig. 31, is double; that of 3 to 1, triple, &c.... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...that is? when the greater contains the less a certain number of limes exactly. III. Ratio is a mutual relation of two magnitudes of the same kind to one another in respect to quantity. - • . iv. • Magnitudes are said to have a ratio to one another. when the less can... | |
 | James Ryan - Algebra - 1824 - 550 pages
...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 to one another in respect to quantity. Magnitudes are said to have a ratio to one another, when the less can be multiplied so... | |
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