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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. "
Practical Algebra, 2d Course by Jos. V. Collins - Page 209
by Joseph Victor Collins - 1911 - 303 pages
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...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...
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The American Arithmetic

James Robinson (of Boston.) - 1847 - 304 pages
...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...
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The Rational Arithmetic: In which the Science is Fully Developed, the Art ...

James S. Russell - Arithmetic - 1847 - 340 pages
...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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American Common-school Arithmetic ...

Rufus Putnam - Arithmetic - 1849 - 402 pages
...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...
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An elementary course of practical mathematics, Part 2

James Elliot - 1850 - 116 pages
...: 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...
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Elementary Algebra: For the Use of Schools

William Smyth - Algebra - 1851 - 272 pages
...proportion, and we have a : b : : c : d, ac b = ~dThe first and last terms of an equidifference, or of a proportion, are called the extremes, and the second and third the Tncans of the cquidifference or the proportion. PROPERTIES OF EO.UIDIFFERENCE3. LVI. Let there...
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Stoddard's Practical Arithmetic

John Fair Stoddard - Arithmetic - 1852 - 320 pages
...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 by dividing the first term by the...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...proportion. ART. 264. Each of the four quantities in a proportion is called a term. The first and last terms are called the extremes ; and the second and third terms, the means. The terms of a proportion may be either monomials or polynomials. quents (Art. 257) ; and the last...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 340 pages
...quantities which are compared together are called tne terms of the proportion. The f1rst and last terms are called the extremes, and the second and third terms, the means. Thus, A and D are the extremes, and B aud G the means. 3. Of four proportional quantities, the first...
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A Practical and Theoretical Arithmetic: Designed for the Use of Schools and ...

Charles D. Lawrence - Arithmetic - 1854 - 336 pages
...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 may be drawn, among which...
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