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. Written Arithmetic - Page 248by George Augustus Walton - 1876Full view - About this book
| 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.... | |
| Alonzo Potter, George Barrell Emerson - Education - 1842 - 586 pages
...The four numbers which form a proportion are called the terms of the proportion ; the first and last are called the extremes, and the second and third are called the middle terms, or the means. Now examine all the proportions that you have formed, or can form, and... | |
| 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 .... | |
| 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... | |
| 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, and the second... | |
| James Robinson (of Boston.) - 1847 - 304 pages
...expression is usually read thus : as 5 is to 8, so is 15 to 24. Art. 138. The first and fourth numbers or terms of a proportion are called the extremes, and the second and third numbers or terms are called the means. In the other method of writing the terms, the numerator of the... | |
| 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 of the first fraction... | |
| 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.... | |
| 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 other three. 6. When the first... | |
| 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.... | |
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