 | Euclides - 1855 - 230 pages
...of proportion is as follows:—Four quantities are said to be proportional, or in proportion, when the quotient of the first divided by the second is equal to the quotient of the third divided by the fourth, whether these quotients be either integers or fractions.... | |
 | Eucleides - 1860 - 396 pages
...proportion is as follows : — Four quantities are said to be proportional, or in proportion, when the quotient of the first divided by the second is equal to the quotient of the third divided by the fourth, whether these quotients be either integers or fractions.... | |
 | Elias Loomis - Algebra - 1862 - 312 pages
...consequent. (178.) Proportion is an equality of ratios. Thus, if we take four numbers, 3, 4, 9, 12, such that the quotient of the first, divided by the second, is equal to the quotient of the third divided by the fourth, the numbers are said to .be proportional, and the... | |
 | Robert Potts - Arithmetic - 1876 - 392 pages
...made the first, second, third, and fourth times terms. Conversely. If four numbers be proportionals, the quotient of the first divided by the second is equal to that of the third divided by the fourth. Thus if 12, 4, 18, 6 form a proportion, which is usually expressed, 12 : 4 : : 18 : 6, Then the ratio... | |
 | Robert Potts - Arithmetic - 1876 - 418 pages
...made the first, second, third, and fourth times terms. Conversely. If four numbers be proportionals, the quotient of the first divided by the second is equal to that of the third divided by the fourth. Thus if 12, 4, 18, 6 form a proportion, which is usually expressed, 12 : 4 : : 18 : 6, Then the ratio... | |
 | Encyclopedias and dictionaries - 1918 - 540 pages
...another of the same kind in respect to magnitude ; or proportion is a relation among quantities such that the quotient of the first divided by the second is equal to the quotient of the third divided by the fourth. Thus 5 is to 10 as 8 is to 16 ; that is, 5 bears the... | |
 | Thomas Edward Finegan - Encyclopedias and dictionaries - 1922 - 666 pages
...another of the same kind in respect to magnitude; or proportion is a relation among quantities such that the quotient of the first divided by the second is equal to the quotient of the third divided by the fourth. Thus 5 is to 10 as 8 is to 16 ; that is, 5 bears the... | |
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If four quantities are proportional, the quotient of the first divided by the second, is equal to the quotient of the third divided by the fourth. (Alg. 364.) Thus, if a : b : : c : d, then |=|, and"=^. 
