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" ... the product of the extremes divided by either mean will give the other mean, and the product of the means divided by either extreme will give the other extreme. "
A Treatise of Algebra: Wherein the Principles are Demonstrated and Applied ... - Página 66
por Thomas Simpson - 1800 - 400 páginas
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The New Complete System of Arithmetic: Composed for the Use of the Citizens ...

Nicolas Pike - 1802 - 350 páginas
...quantities proportional. • THEOREM 3 — If four quantities, 2, 6, 4, 12, are proportional, the reftangle of the means, divided by either extreme, will give the other extreme. t THEOREM 4 — The produits of the correfponding terms of two geometrical proportions are alfa proportional....
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The New Complete System of Arithmetick: Composed for the Use of the Citizens ...

Nicolas Pike - 1807 - 370 páginas
...quantities proportional. THEOREM 3. — If four quantities, 2, 6, 4, 12, are proportional, the rectangle of the means, divided by either extreme, will give the other extreme. THEOREM 4. — The products of the cerrefponding terms of two geometrical propitious are alfo proportional....
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A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - 1822 - 436 páginas
...proportional. THEOREM 3. If four quantities, a, b, c, d, (2,6,4, 12,) are proportional, the rectangle of the means, divided by either extreme, will give the other extreme'. * THEOREM. 4. The products of the corresponding terms of two geometrical proportions are also proportional....
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The Practical Arithmetic: In which the Principles of Operating by Numbers ...

1829 - 196 páginas
...product of the TWO EXTREMES will be EQUAL to the product of the TWO MEANS. Consequently, the product of the means divided by EITHER extreme will give the OTHER extreme. If 9 barrels of flour cost 863, how many barrels may be bought for S288 ? Here the unknown quantity...
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The Element of Geometry

John Playfair - 1836 - 148 páginas
...and therefore A : B : : C : D. 'PROP. III. THEOR. If four quantities are proportional, the product of the means divided by either extreme, will give the other extreme. Let A : B :: C : D, -;-=D. A BO Because A : B : : C : D, AD=BC ; divide by A, and D=-—. PROP. IV....
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Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ...

Charles Waterhouse - 1842 - 178 páginas
...two, then are those quantities proportional. 3. If four quantities are proportional, the rectangle of the means, divided by either extreme, will give the other extreme. 4. The products of the corresponding terms in continual proportions, are also proportional, 5. If three...
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Elementary and practical Arithmetic on the inductive system, by analysis and ...

Charles WATERHOUSE - 1844 - 228 páginas
...two, then are those four quantities proportional. 3. If four quantities are proportional, the product of the means, divided by either extreme, will give the other extreme. 4. The product of the corresponding terms in continual proportions, are also proportional. 5. If three...
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A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - 1857 - 376 páginas
...; for the product of the extremes divided by either mean will give the other mean, and the product of the means divided by either extreme will give the other extreme. 257, When three numbers are in proportion, as, eg, 4 : 6 : : 6 : 9, the 2d is called a mean proportional...
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The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - 1862 - 320 páginas
...; for the product of the extremes divided by either mean will give the other mean, and the product of the means divided by either extreme will give the other extreme. Fill the blank in each of the following proportions: io . n . o A . " X " _. m 321. What is Proportion?...
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The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ...

James Stewart Eaton - 1864 - 322 páginas
...; for the product of the extremes divided by either mean will give the other mean, and the product of the means divided by either extreme will give the other extreme. Fill the blank in each of the following proportions : 331. What Is Proportion? 333. How indicated?...
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