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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. "
An Introduction to Geometry and the Science of Form: Prepared from the Most ... - Page 130
by Anna Cabot Lowell - 1846 - 161 pages
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The Rational Arithmetic: In which the Science is Fully Developed, the Art ...

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,...
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Putnam's Arithmetic

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...
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An elementary course of practical mathematics, Part 2

James Elliot - 1850 - 118 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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Stoddard's Practical Arithmetic

John Fair Stoddard - Arithmetic - 1852 - 324 pages
...second couplet. The first term of each couplet is called the Antecedent, and the second term is called the Consequent. The first and fourth terms of a proportion are called the Extremes, and the second and third terms are called the Means. Since, in a proportion, the quotient obtained...
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A Practical and Theoretical Arithmetic: Designed for the Use of Schools and ...

Charles D. Lawrence - Arithmetic - 1854 - 336 pages
...4 and 24 are equivalent to the sign of equality, and this sign is sometimes used in their stead. 6. The first and fourth terms of a proportion are called the extremes, and the second and third terms are called the means. 96, From the foregoing definitions several consequences...
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The American Philosophical Arithmetic: Designed for the Use of Advanced ...

John Fair Stoddard - Arithmetic - 1856 - 312 pages
...second couplet. The first term of each couplet is called the Antecedent, and the second term is called the Consequent. The first and fourth terms of a proportion are called the Extremes, and the second and third terms are called the Means. Siuce, in a proportion, the quotient obtained...
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A Written Arithmetic, for Common and Higher Schools: To which is Adapted a ...

George Augustus Walton - Arithmetic - 1864 - 362 pages
...as 4 is to 6 ; that is, 2 is the same part of 3 that 4 is of G. 2 is f of 3, and 4 is j{ of 6. 367. The first and fourth terms of a proportion are called the extremes, and the second and third are called the means. The first ratio : ; called the first couplet, and the...
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A Written Arithmetic, for Common and Higher Schools: To which is Adapted a ...

George Augustus Walton - Arithmetic - 1864 - 368 pages
...as 4 is to С ; that is, 2 is the same part of 3 that 4 is of C. 2 is f of 3, and 4 и of 6. 367. The first and fourth terms of a proportion are called the extremes, and the second and third are called the means. The first ratio is called the first couplet, and the...
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Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - Algebra - 1868 - 264 pages
...-. ; read, a to b equals c to d, or a is to b as c is to d, or a divided by b equals c divided by d. The first and fourth terms of a proportion are called the extremes, and the second and third the means. 106. In a proportion the product of the means is equal to the product...
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Arithmetic for school and college use. With a chapter on the metric system ...

Thomas Percy Hudson - 1870 - 304 pages
...& 3 : 4 = 12 : 16, 3 : 4 : : 12 : 16. The last expression would be read, 3 is to 4 as 12 is to 16. The first and. fourth terms of a proportion are called the extremes ; the middle two, the means. 4. If four numbers be proportional, the product of the extremes is equal to...
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