 ... if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth ; or, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the...  The Teaching of Elementary Mathematics - Page 233by David Eugene Smith - 1902 - 312 pagesFull view - About this book
 | John Mason Good - 1813 - 714 pages
...multiple of the third is also equal to that of the fourth; or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. 6. Magnitudes which have the same ratio are called proportionals.... | |
 | Charles Hutton - Astronomy - 1815 - 686 pages
...of the third is also equal to that of the fourth ; or if when the multiple of the first is greater than that of the second, the multiple of the third is also greater than that of the fourth : then, the first X)f the four magnitudes shall be to the second as... | |
 | Euclides - 1816 - 588 pages
...said to have a ratio to one another, when the less can be multiplied so as to exceed the other. y. The first of four magnitudes is said to have the same...of the third is also less than that of the fourth; or,if the multiple of the first be equal to that of the second, the multiple of the third is also equal... | |
 | John Mason Good - 1819 - 910 pages
...and any equimultiples whatever of the second and fourth ; and if when the multiple of the first is less than that of the second, the multiple of the third is also less than that of the fourth ; or if when the multiple of the first is equal to that of the second, the multiple of the third is also equal... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...third is also equal to that of the fourth; or, if the multiple of the * SBP note. first be greater than that of the second, the multiple of the third is also greater than that of the fourth. VL Magnitudes which haye the same ratio are called proportionals.... | |
 | James Ryan - Algebra - 1824 - 550 pages
...multiple of the third is also equal to that of the fourth ; or if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. SCHOLIUM. We shall demonstrate towards the close of this essay, that... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...multiple of the third is also equal to that of the fourth ; or if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. SCHOLIUM. We shall demonstrate towards the close of this essay, that... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...multiple of the third is also equal to that of the fourth ; or, if the multiple of the first be greater than that of the second, the multiple of the third is also greater than that of the fourth. VI. Magnitudes which have the same ratio are called proportionals.... | |
 | James Ryan - Algebra - 1826 - 430 pages
...equimultiples -whatsoever of the second and fourth, if the multiple of the first be less than (hat of the second, the multiple of the third is also less...than that of the fourth ; or, if the multiple of the tirsl be equal to that of the second, the multiple of the third is also equal to that of tbe tourth... | |
 | Euclid - 1826 - 234 pages
...of the third is also equal to that of the fourth ; or if when the multiple of the first is greater than that of the second, the multiple of the third is also greater than that of the fourth ; then, the first of the four magnitudes is to the second as the third... | |
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