 | James Elliot - 1850 - 116 pages
...terms of a proportion are called the Extremes ; and the second and third, the Means. 5. The fourth term is said to be a Fourth Proportional to the other three. 6. When the first of three given quantities has the same ratio to the second, which the second has... | |
 | John Radford Young - 1851 - 266 pages
...first term, in the expression for a ratio, is called the antecedent, the other the consequent; and the first and last terms of a proportion are called the extremes; the two intermediate ones the moans: thus, in the proportion above, a and c are the antecedents of the... | |
 | Noble Heath - 1855 - 468 pages
...are in proportion. When this cannot be said, they are not in proportion, the ratios being unequal. The first and last terms of a proportion are called the extremes, and the two middle terms the means.* 403. Let a : b : : c : rfbe any proportion whatever; then as Qi... | |
 | Elias Loomis - Algebra - 1856 - 280 pages
...first consequent, the third term the second antecedent, and the fourth term the second consequent. The last term is said to be a fourth proportional to the other three taken in order. (181.) The word term, when applied to a proportion, is used in a slightly different... | |
 | James Bates Thomson - Arithmetic - 1860 - 440 pages
...the other hand, cannot be greater or less than another ; for equality does not admit of degrees. 495. The first and last terms of a proportion are called the extremes ; the other two, the means. OBS. Homologous terms are either the two antecedents, or the two consequents.... | |
 | Robert Fowler - 1861 - 426 pages
...each other as 2 days and 4 days, for the value of each ratio is J ; . • . ' 6 : 12 : : 2 : 4. Note. The first and last terms of a proportion are called the extremes ; the others are called the means. 135. From the above definitions several important properties of proportionals... | |
 | Charles Elsee - Arithmetic - 1866 - 300 pages
...and 10 cwt. : 15 cwt. : : £6 : £9. It is usual to read a proportion thus, 6 is to S as ij is to 20. The first and last terms of a proportion are called the extremes, and the two middle terms are called the means. 67. — When four numbers are proportional, the product... | |
 | William Harding Girdlestone - 1867 - 368 pages
...or 6:2 = 15:5; and since a ratio may be written as a fraction, the proportion may be written f = */. The first and last terms of a proportion are called the extremes, the two middle terms the means. While the two terms of a ratio, if they be not abstract numbers, must be... | |
 | Joseph Ray - Arithmetic - 1857 - 358 pages
...proportion of 3 to 4. A ratio subsists between two quantities; a proportion only between four. ART. 199. The first and last terms of a proportion are called the extremes; the second and third, the means. Thus, in the proportion 2 : 3 : : 4 : 6, 2 and 6 are the extremes, and... | |
 | Shelton Palmer Sanford - Arithmetic - 1872 - 404 pages
...is to 4 ; or it may be read thus : the ratio of 15 to 5 is equal to the ratio of 12 to 4. ART. 287. The first and last terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the proportion 3 : 6 : : 4 : 8, 3 and 8 are the... | |
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The first and last terms of a proportion are called the extremes, and the two middle terms are called the means. 
