 The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.  A First Course in Algebra - Page 194by Frederick Charles Kent - 1913 - 249 pagesFull view - About this book
 | Etienne Bézout - Mathematics - 1824 - 238 pages
...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... | |
 | George Roberts Perkins - Arithmetic - 1841 - 274 pages
...fourth, and four points are 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... | |
 | Pliny Earle Chase - 1844 - 164 pages
...consequents may 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 reduced to... | |
 | Anna Cabot Lowell - Geometry - 1846 - 216 pages
...divided by BC. The first 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... | |
 | James S. Russell - Arithmetic - 1847 - 340 pages
...The four quantities forming a proportion are called proportionals, or, the terms of the proportion. The first and fourth terms of a proportion are called the extremes, and the second and third, the means. Also, the first terms, or divisors in ratios, are called the antecedents,... | |
 | George Roberts Perkins - Arithmetic - 1849 - 356 pages
...fourth, and four points are 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 first couplet. The third and fourth constitute... | |
 | Rufus Putnam - Arithmetic - 1849 - 276 pages
...± = |f ; which is read, 4 is to 5 as 12 is to 15 ; or, 4 divided by 5 is equal to 12 divided by 15. The first and fourth terms of a proportion are called the extremes; and the second and third, the means. When the proportion is expressed in a fractional form, the numerator... | |
 | George Roberts Perkins - Arithmetic - 1849 - 344 pages
...placed between the second and third; which is read, 4 is to 6 as 8 is to 12. The first and fourth terras of a proportion are called the extremes. The second and third terms are called the means. The first and second constitute the first couplet. The third and fourth constitute... | |
 | George Roberts Perkins - Arithmetic - 1850 - 356 pages
...fourth, and four points are 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 first couplet. The third and fourth constitute... | |
 | James Elliot - 1850 - 116 pages
...in the proportion 16 : 4 : : 12 : 3, the antecedents are 16 and 12, and the consequents 4 and 3. 4. The first and fourth 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... | |
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