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" In any proportion, the product of the extremes equals the product of the means. "
Complete School Algebra - Page 461
by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1919 - 507 pages
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 136 pages
...and mean ratio." For the segment BH is to the segment AH as AH is to the whole line AB; and in such a proportion the product of the extremes equals the product of the means, or in this instance the rectangle under AB and BH is equal to the square on AH, which is proposition...
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Elements of arithmetic, tr. by J. Spear

Charles Auguste A. Briot - 1863 - 376 pages
...extremities, are called the extremes ; the two others, placed in the middle, are called the means. In every proportion, the product of the extremes equals the product of the means. Be they the two equal ratios or the proportion — a _ c_ 1 ~ d' If we multiply by d the two terms...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 192 pages
...8 : 12 : : 2 : 3, where 8 and 3 are called the extreme, and 12 2 the mean terms. • 102. In every proportion, the product of the extremes equals the product of the means ; thus, if 8 : 12 : : 2 : 3, then 8X3 8 2 = 12 x 2 ; for if — - = - and both fractions be brought...
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Common School Arithmetic: Combining the Elements of the Science with Their ...

John Homer French - Arithmetic - 1869 - 335 pages
...compound and a simple ratio, or of two compound ratios ; as, 5:9) „ , 5:9) (5:2 537. Since in a simple proportion the product of the extremes equals the product of the means (see 532, 1.) ; and since a compound ratio is reduced to a simple one, by multiplying all the antecedents...
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A University Algebra ...

Edward Olney - Algebra - 1873 - 354 pages
...ratio. Thus if a : Ъ : : b : с : : с : d : : d : e, we have a continued proportion. 61. Prop. 1. — In any proportion the product of the extremes equals the product of the means. DEM. — If я : Ъ : : e : d then ad = be. For a : b : : с : d is the same as - = -, which l> d cleared...
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Major's New code ... readers, Book 6

Henry Major - 1875 - 308 pages
...to 1 0 ; which may be written 4 : 8 : : 5 : 10. These are called proportionals. SIMPLE PROPORTION. In any proportion the product of the extremes equals the product of the means, or the first and fourth terms multiplied equals the second and third multiplied together. 147 In the...
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The Complete Arithmetic

Milton Browning Goff - Arithmetic - 1876 - 462 pages
...2O da. JI for ( ) da. We have now to find the number of days in the Sec. cause. And since this is a proportion, the product of the extremes equals the product of the means, and we therefore can readily fill the blank ( ) by Rule I, or II. (281). PR OBLJSHTS. 1. If 6 men build...
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The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion ...

Edward Olney - Algebra - 1877 - 390 pages
...ratio. Thus if a : b : : b : c : : c : d : : d : e, we have a continued proportion. 65. Prop. 1. In a proportion the product of the extremes equals the product of the means. DEM. — If o : b : : c : d then ad = 6c. For a : 6 : : c : d is the same flt C as r = -a which cleared...
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A Mathematical Course for the Matriculation Examination of the ..., Part 1

1877 - 188 pages
...read, 8 : 12 : : 2 : 3, where 8 and 3 are called the extreme, and 12 2 the mean terms. 102. In every proportion, the product of the extremes equals the product of the means ; thus, if 8 : 12 : : 2 : 3, then 8X3 8 2 = 12x2; for if - • = — and both fractions be brought...
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A University Algebra

Edward Olney - 1878 - 362 pages
...ratio. Tims if a : b : : Ъ : с : : с : d : : d : e, we have a continued proportion. 61. Prop. 1. — In any proportion the product of the extremes equals the product of the means. DEM. — If a : b : : с : d then ad = be. For a : b : : e : d is the same as r = -, which ti a cleared...
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