 | George Roberts Perkins - 1841 - 274 σελίδες
...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.... | |
 | Pliny Earle Chase - 1844 - 164 σελίδες
...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 .... | |
 | Charles Davies - 1845 - 382 σελίδες
...antecedent, and the number 10, with which it is compared, a consequent. The first and fourth terms are called the extremes ; and the second and third terms, the means. Let a, b, c, and d, denote four quantities in arithmetical proportion ; and d the difference between... | |
 | Anna Cabot Lowell - 1846 - 216 σελίδες
...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 - 1847 - 340 σελίδες
...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 σελίδες
...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 - 1849 - 276 σελίδες
...± = |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 - 1849 - 356 σελίδες
...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 σελίδες
...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 - 1850 - 356 σελίδες
...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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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. 
