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" Four quantities are said to be proportional when thejatio of the first to the second is the same as the ratio of the third to the fourth. "
A Dictionary of Science, Literature, & Art: Comprising the Definitions and ... - Page 113
edited by - 1867
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The operative mechanic, and British machinist

John Nicholson (civil engineer.) - 1825 - 1008 pages
...consequent by the antecedent. 89. Three magnitudes or quantities, A, 11, (.', are said to be proportional, when the ratio of the first to the second is the same as that of the second to the third. Thus, 2, 4, 8, are proportional, because 4 is contained in 8 as many...
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The Operative Mechanic, and British Machinist: Being a Practical ..., Volume 1

John Nicholson - 1825 - 838 pages
...consequent by the antecedent. 89. Three magnitudes or quantities, A, B, C, are said to be proportional, when the ratio of the first to the second is the same u that of the second to the third. Thus, 2, 4, 8, are proportional, because 4 is contained in 8 as...
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The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (Civil engineer) - 1830 - 240 pages
...consequent by the antecedent. 89. Three magnitudes or quantities, A, B, C, are said to be proportional, when the ratio of the first to the second is the same as that of the second to the third. Thus, 2, 4, 8, are proportional, because 4 is contained in 8 as many...
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Mechanics' Magazine, and Journal of the Mechanics' Institute, Volume 4

1835 - 398 pages
...to four eighths, and one half, both the same ratio. 4. Four quantities are said to be proportional, when the ratio of the first to the second is the same as the ratio of the third to the fourth. As of the four, A (4), в (2), с (10), D (5), where four halves are equal to ten fifths and 2, both...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 pages
...Thus, to illustrate this definition, let us take the numbers 10, 4, 15, and 6, and it will be seen that the ratio of the first to the second is the same as the ratio of the third to the fourth. For, if the first and third be multiplied by 2, and the second and fourth by 5, the multiples of the...
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The Western Practical Arithmetic: Wherein the Rules are Illustrated, and ...

1838 - 218 pages
...divided by the first is the same as the quotient of the fourth divided by the third, that is, so that the ratio of the first to the second is the same as the ratio of the third to the fourth, we say that these four numbers are in PROPORTION. The first and last terms are called EXTREMES ; the...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - 1841 - 274 pages
...days, is J. The ratio of 3j hours to 7£ hours, is 31-i-7J=4f. When there are four quantities, of which the ratio of the first to the second is the same as that of the third to the fourth, these four quantities are said to be in proportion. Thus 4, 6, 8,...
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A manual of arithmetic

George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 pages
...Proportion, then, is that relation in respect of magnitude, which subsists between four quantities, when the ratio of the first to the second is the same as the ratio ol the third to the fourth. Thus, the quantities 6, 3, 8, and 4, taken in that order, are proportionals;...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, James Thomson - 1845 - 382 pages
...to illustrate this defiuition, let us take the numbers 10, -I, 15, and 6, and it will be seen that the ratio of the first to the second is the same as the ratio of the third to the fourth. For, if the first and third be multiplied by 2, and the second and fourth by 5, the multiples of the...
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An Elementary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - 1846 - 266 pages
...What is the ratio of 10 yards to 5 yards? Of 8 inches to 4 inches? How are four quantities related when the ratio of the first to the second is the same as the ratio of the third to the fourth ? When four terms are in proportion, how are they written I Of the four terms constituting a proportion,...
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