 | George Roberts Perkins - Arithmetic - 1855 - 388 pages
...extremes; the second and third are called means. Since in a proportion the quotient of the first term divided by the second, is equal to the quotient of the third term divided by the fourth, we have, using the above proportion, 8 yards _12 dollars? OIl which is... | |
 | Elias Loomis - Algebra - 1856 - 280 pages
...if we take four numbers, 3, 4, 9, 12, such that the quotient of the first, divided by the seo ond, is equal to the quotient of the third divided by the fourth, the numbers are said to be proportional, and the proportion may be written 3_.9. 4-12' or 3:4::9:12.... | |
 | 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...to the quotient of the third divided by the fourth, whether these quotients be either integers or fractions. 15 9 Thus — = 3, and - = 3, therefore the... | |
 | 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,...to the quotient of the third divided by the fourth, the numbers are said to .be proportional, and the proportion may be written ?_JL 4~12' or 3:4::9:12.... | |
 | Richard Wormell - 1876 - 268 pages
...called the extremes, 7 and 48 the means. These numbers, or any four numbers such that the quotieni of the first divided by the second is equal to the quotient of the third divided by the fourth, have the following properties :— (a). In every proportion the product of the extremes is equal to... | |
 | 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,... | |
 | 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,... | |
 | 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...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 same relation to 10 as 8 does to 10. Proportion... | |
 | Charles Morris - Encyclopedias and dictionaries - 1921 - 528 pages
...respect to magnitude ; or proportion is a relation among quantities such that the quotient of the Grst divided by the second is equal to the quotient of the third divided by tbe fourth. Thus 5 is to 10 as 8 is to 10 ; that is, 5 bears tbe same relation to 10 as 8 does to 10.... | |
 | 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...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 same relation to 10 as 8 does to 10. Proportion... | |
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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. 
