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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 • proportion a : b = с : d, a and d are the extremes, and b and с the means. "
Progressive Arithmetic, Complete - Σελίδα 397
των William James Milne - 1907 - 512 σελίδες
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 542 σελίδες
...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...

Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - 1818 - 190 σελίδες
...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 is...

Elements of Arithmetic

Etienne Bézout - 1824 - 238 σελίδες
...(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...

The Practical Arithmetic: In which the Principles of Operating by Numbers ...

1829 - 196 σελίδες
...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 two antecedents...

The Teacher's Manual: Being an Exposition of an Efficient and Economical ...

Thomas H. Palmer - 1840 - 328 σελίδες
...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...

Elements of Algebra: Including Sturms' Theorem

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...

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 362 σελίδες
...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....

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 354 σελίδες
...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....

Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - 1846 - 402 σελίδες
...is the last term called in such a case ? What is the difference between proportion and ratio ? 331. The first and last terms of a proportion are called the extremes ; the other two, the means. Oss. Homologous terms are either the two antecedents, or the two consequents....

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

James S. Russell - 1847 - 340 σελίδες
...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...




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