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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. "
Elements of Geometry: Containing the Principal Propositions in the First Six ... - Page 155
by John Bonnycastle - 1803 - 279 pages
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Elements of Algebra

Algebra - 1838 - 372 pages
...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. 171. Three quantities are in proportion when the first has the same ratio to the second that the second...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 264 pages
...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. Thus, in the last proportion A and C are the antecedents, and B and D the consequents. QUEST. — 145....
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...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. 171. Three quantities are in proportion when the first has the same ratio to the second that the second...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...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. Thus, in the last proportion A and C are the antecedents, and B and D the consequents. QUEST. — 145....
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...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. 171. Three quantities are in proportion when the first has the same ratio to the second that the second...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...a Third Proportional to the first and second. 80. Of four proportional quantities, the last is said to be a Fourth Proportional to the other three, taken in order. 81. Quantities are said to be Continually Proportional, or in Continued Proportion, when the ratio...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 302 pages
...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. Thus, in the last proportion A and C are the antecedents, and B and D the consequents. QUEST. — 145....
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...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. 4. Three quantities are in proportion, when the first has the same ratio to the second, that the second...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...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. Thus, in the last proportion, A and C are the antecedents, and B and D the consequents. 4. Three quantities...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...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. Thus, in the last proportion, A and C are the antecedents, and B and D the consequents. 4. Three quantities...
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