 | Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...13. One antecedent is said to be to ils consequent, as another antecedent to ils consequent. • 14. The first and last terms of a proportion are called the extremes, and the intermediate ones, the means. 15. A ratio is direct, if it follows the order of the terms compared... | |
 | John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...the fourth'. Proportionals are written thus, 6 : 2 : ; 9 : 3 ; and read thus, 6 is to 2 as 9 to 8. The first and last terms of a proportion are called the Extremes, and the middle terms, the Means : and when four numbers are proportional, " the product of the extremes... | |
 | Etienne Bézout - Mathematics - 1824 - 238 pages
...(arithmetically) 12 is to 14 ; and in a geometrical proportion, 3 is to 15 as (geometrically) 4 is to 20. 173. The first and last terms of a proportion are called the extremes ; the second and third, or two middle te> ins, are called the means. . As theje are tw.o ratios, and consequently two antecedents... | |
 | Arithmetic - 1829 - 196 pages
...read, the ratio of 4 to 6 equals the ratio of 10 to 15 ; or more concisely, its to 6 OB 10 to 15. 168. The FIRST and LAST terms of a proportion are called the EXTREMES, and the two middle terms the MEANS. 169. In a proportion there are TWO RATIOS, and conse-. quently... | |
 | Thomas H. Palmer - Education - 1840 - 328 pages
...proportions, the two ratios in each being equal ; those in No. 1 being 2, those in No. 2, J, (one third.) The first and last terms of a proportion are called the extremes ; the two middle terms, the means. It is evident, from the mere inspection of any proportion, that the antecedent... | |
 | George Roberts Perkins - Arithmetic - 1841 - 274 pages
...placed between the second and third : which is read, 4 is to 6 as 8 is to 12. The first and fourth terms of a proportion are called the extremes. The second and third terms are called the means. The first and second constitute the fast couplet. The two terms of a couplet must be of the same name... | |
 | Pliny Earle Chase - 1844 - 164 pages
...exchange places. Thus, 2 : 6 :: 7 : 21, and 6 :2 :: 21 :7, are each true proportions. The first and fourth terms of a proportion, are called the extremes, the second and third terms, the means. The proportion 3 : 12 == 2 : 8 may also be written 735 = f . If these two fractions were... | |
 | Anna Cabot Lowell - Geometry - 1846 - 216 pages
...term of each ratio is called the antecedent, the second term is the consequent. The first and fourth terms of a proportion are called the extremes ; the second and third terms are the means. If the same quantity is taken twice as a mean it is called a mean proportional between the... | |
 | James Bates Thomson - Arithmetic - 1846 - 354 pages
...the last term called in such a case ? What is the difference between proportion and ratio ! 32 1 . The first and last terms of a proportion are called the extremes ; the other two, the means. Oas. Homologous terms are either the two antecedents, or the two consequents.... | |
 | James Bates Thomson - Arithmetic - 1846 - 362 pages
...What is the last term called in such acase? What is the difference between proportion and ratio * 321* 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.... | |
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The first and last terms of a proportion are called the extremes ; the second and third terms are called the means. In the proportion | = ££, we see that 7 x 15 = 3 x 35. 
