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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. "
A Textbook on Steam Engineering - Σελίδα 27
1902
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - 1841 - 252 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....

The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are ...

Pliny Earle Chase - 1844
...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 ....

Elements of Algebra: Including Sturm's Theorem

1845 - 368 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...

An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - 1846 - 161 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...

The Rational Arithmetic: In which the Science is Fully Developed, the Art ...

James S. Russell - 1847 - 330 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...

The American Arithmetic

James Robinson (of Boston.) - 1847
...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...

Putnam's Arithmetic

Rufus Putnam - 1849 - 264 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...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1849 - 342 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....

An elementary course of practical mathematics, Μέρος 2

James Elliot - 1850
...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...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1850 - 342 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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