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" Of four proportional quantities, the first and third are called the antecedents, and the second and fourth the consequents ; and the last is said to be a fourth proportional to the other three taken in order... "
First Lessons in Algebra: Embracing the Elements of the Science - Page 230
by Charles Davies - 1839 - 252 pages
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1861 - 322 pages
...proportion. The first and last terms are called the two extremes, and the second and third terms, the tiw means. Thus, A and D are the extremes, and B and C...the last proportion A and C are the antecedents, and JS and D the consequents. 145. What ia proportion ? How do you express that four numbeis nre in proportion...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1864 - 358 pages
...D are the extremes, and B and C the means3 Of four propo1tional quantities, the first and third aro called the antecedents, and the second and fourth...consequents ; and the last is said to be a fourth proporlional to the other three taken in order- Thus, in the last proportion, A and C are the antecedents,...
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Ray's Algebra, First Book: Primary Elements of Algebra, for Common ..., Book 1

Joseph Ray - Algebra - 1866 - 252 pages
...quantities, the first and third are called antecedents; and the second and fourth, consequents, Art. 233. The last is said to be a fourth proportional to the other three, taken in their order. 243. Three quantities are in proportion, when the first has the same ratio to the second...
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Primary Elements of Algebra: For Common Schools and Academies

Joseph Ray - Algebra - 1866 - 250 pages
...quantities, the first and third are called antecedents; and the second and fourth, consequents, Art. 238. The last is said to be a fourth proportional to the other three, taken in their order. 243. Three quantities are in proportion, when the first has the same ratio to the second...
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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...D are the extremes, and B and C the means3 Of four propoitional quantities, the first and third aro called the antecedents, and the second and fourth...and the last is said to be a fourth proportional to tho other three taken in order- Thus, in the last proportion, A and C are the antecedents, and B and...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...two, and the last a third proportional to the first and second. 83. Of four proportional quantities, the last is said to be a fourth proportional to the other three, takA in-order. 84. Quantities are said to be continually proportional, or in continued proportion,...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1870 - 392 pages
...and the second and third terms, the means. Thus, A and D are the extremes, and В and G the means. 3. Of four proportional quantities, the first and third...taken in order. Thus, in the last proportion, A and С are the antecedents, and В and D the consequents. 4. Three quantities are in proportion when the...
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Elements of Algebra: For Colleges, Schools and Private Students

Joseph Ray - Algebra - 1866 - 420 pages
...first and third are called the antecedents, and the second and ftfurth, the consequents (Art. 257) ; and the last is said to be a fourth proportional to the other three taken in their order. 266. Three quantities are in proportion when the first has the same ratio to the second,...
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New Elementary Algebra: Embracing the First Principles of Science

Charles Davies - Algebra - 1875 - 318 pages
...are called the antecedents, and the second and fourth the consequents ; and the last is sak! to he a fourth proportional to the other three, taken in order. Thus, in the last proportion A. and G are the antecedents, and IB and D the consequents. I8§. Three quantities are in proportion, when...
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Ray's New Practical Arithmetic: A Rev. Ed. of the Practical Arithmetic

Joseph Ray - Arithmetic - 1877 - 350 pages
...extremes. (282) 8. The second and third terms of a proportion are called the means. 9. The last term is said to be a fourth proportional to the other three taken in order. Thus, in the proportion 2 : 4 : : 3 : 6, the extremes are 2 and 6; the means are 4 and 3; and 6 is a fourth proportional...
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