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" In any proportion, the product of the means equals the product of the extremes. "
The Elements of Geometry - Page 102
by Walter Nelson Bush, John Bernard Clarke - 1905 - 355 pages
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Practical Arithmetic, by Induction and Analysis

Joseph Ray - Arithmetic - 1857 - 348 pages
...direct and invent; a dietinction of no utility, and always embarrassing to the learner. ART. 202. Since the product of the means equals the product of the extremes, and the product of two factors divided by either of them, gives the other, Art. 37, Therefore, If the product...
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The Progressive Higher Arithmetic, for Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...square of a mean proportional is equal to tlic product of the other two terms. 438. Since in every proportion the product of the means equals the product of the extremes, (4:587, 1), it follows that, any three terms of a proportion being given, the fourth may be found by...
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Bryant and Stratton's Commercial Arithmetic: In Two Parts. Designed for the ...

Emerson Elbridge White - Arithmetic (Commercial), 1861 - 1861 - 348 pages
...8x6=12x4. But 8 and 6 are the means of the above proportion, and 12 and 4 its extremes. Hence, In every proportion, the product of the means equals the product of the extremes. Therefore, 1. If the product of the two means of a proportion be divided by either extreme, the quotient...
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The Normal Written Arithmetic: By Analysis and Synthesis, Designed for ...

Edward Brooks - 1863 - 344 pages
...Compound Proportion is the comparison of compound ratios. PRINCIPLES OF PROPORTION. PROP. I. — In every proportion the product of the means equals the product of the extremes. DEM. — In the proportion 2 : 6 : : 4 : 12 we have J = T\ ; now if we multiply both these equals by...
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A Written Arithmetic, for Common and Higher Schools; to which is Adapted a ...

George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - Arithmetic - 1865 - 354 pages
...of arithmetical examples by proportion depends upon the following important principle : — In every proportion the product of the means equals the product of the extremes. ILLUSTRATION. Writing the given proportion in a fraco . o . . A . Q tional form, we have j- = •£....
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The Crittenden Commercial Arithmetic and Business Manual: Designed for the ...

John Groesbeck - Arithmetic - 1868 - 358 pages
...20. The first and fourth terms are called the extremes; the second and third, the means. 85. In every proportion the product of the means equals the product of the extremes. SIMPLE PROPORTION, OR, RULE OF THREE. 86. A Simple Proportion is expressed by an equality of two ratios,...
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The Crittenden Commercial Arithmetic and Business Manual: Designed for the ...

John Groesbeck - Arithmetic - 1868 - 350 pages
...20. The first and fourth terms are called the extremes; the second and third, the means. 85. In every proportion the product of the means equals the product of the extremes. SIMPLE PROPORTION, OR, RULE OF THREE. 86. A Simple Proportion is expressed by an equality of two ratios,...
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Practical Arithmetic, by Induction and Analysis

Joseph Ray - Arithmetic - 1857 - 358 pages
...and in/verte; a distinction of no utility, and always embarrassing to the learner. ART. 202. Since the product of the means equals the product of the extremes, and the product of two factors divided by cither of them, gives the other, Art. 37, Therefore, IfiJie product...
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The Illustrative Practical Arithmetic by a Natural Method ...

George Augustus Walton, Electa Nobles Lincoln Walton - Arithmetic - 1869 - 350 pages
...NOTE TO THE TEACHER. — The principle given in Deduction 1 is sometimes enunciated thus : " In any proportion the product of the means equals the product of the extremes," which is not true when the terms are denominate numbers ; thus in the proportion 4 pk. : 5 pk. = $...
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The Illustrative Practical Arithmetic by a Natural Method with Dictation ...

George Augustus Walton, Electa N. L. Walton - Arithmetic - 1871 - 348 pages
...NOTE TO THE TEACHER. — The principle given in Deduction 1 is some, times enunciated thus : " In any proportion the product of the means equals the product of the extremes," which is not true when tire terms are denominate numbers ; thus in the proportion 4 pk. : 5 pk. = $...
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