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" Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means. "
The Elements of Plane and Solid Geometry ... - Page 137
by Edward Albert Bowser - 1890 - 393 pages
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The Art of Teaching School: A Manual of Suggestions for the Use of Teachers ...

Josiah Rhinehart Sypher - Teaching - 1872 - 340 pages
...expressed is called a proportion. A proportion, therefore, is an equality of ratios. The first and the fourth terms are called the extremes, and the second and third the means, of the proportion. These terms in every proportion sustain such a relation to each other, that the...
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Bradbury's Elementary Algebra: Designed for the Use of High Schools and ...

William Frothingham Bradbury - Algebra - 1877 - 280 pages
...the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are...the extremes, and the second and third the means. 197. When three quantities are in proportion, eg a : b = b : c, the second is called a mean proportional...
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The Complete Arithmetic: Combining Oral and Written Exercises in a Natural ...

Albert Newton Raub - Arithmetic - 1877 - 348 pages
...each couplet is called, as in Katio, an antecedent, and the second in each couplet a consequent. 148. The first and fourth terms are called the extremes, and the second and third the means. 149. The first and second terms are the first couplet, and the third and fourth terms the second couplet....
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Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...antecedent, the second the consequent, the third the antecedent, and the fourth the consequent, and so on. 7. The first and fourth terms are called the extremes, and the second and third are called the means. 8. An Inverse Proportion is where the antecedent is made the consequent, and...
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Elementary algebra: with brief notices of its history

Robert Potts - Algebra - 1879 - 672 pages
...proportion is sometimes written a : Ъ : : с : d, and is expressed by saying that a is to b as с is to d ; the first and fourth terms are called the extremes, and the second and third the means, of the proportion. If the third term be equal to the second, the proportion consists of three terms,...
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Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 pages
...proportion is sometimes written a : Ь : : с : d, and is expressed by saying that a is to b as с is to d ; the first and fourth terms are called the extremes, and the second and third the means, of the proportion. If the third term be equal to the second, the proportion consists of three terms,...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 322 pages
...last terms of a proportion are calleil EXTREMES, and the middle terms MEANS. Thus, in a : b : : c : d, a and d are the extremes, and b and c the means. 166i In any proportion, the product of the extremes is equal to the product of the means. Let a : b...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are...the extremes, and the second and third the means. 6. When three quantities are in proportion, eg a : b = b : c, the second is called a mean proportional...
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An Easy Algebra for Beginners: Being a Simple, Plain Presentation of the ...

Charles Scott Venable - Algebra - 1880 - 168 pages
...terms of the proportion are called the antecedents, and the second and fourth the consequents. Again, the first and fourth terms are called the extremes, and the second and third the means. 117. Results to be Remembered.— We must bear in mind : 1. The value of any ratio a : b is the fraction...
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College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - Algebra - 1888 - 868 pages
...the two fractions which represent the ratios shall be equal. The four terms of the two equal ratios are called the terms of the proportion. The first...proportion, a and d are the extremes and b and c the means. Quantities are said to be in continued proportion when the first is to the second, as the second is...
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