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" If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if... "
Introduction to The National Arithmetic: On the Inductive System Combining ... - Σελίδα 239
των Benjamin Greenleaf - 1849 - 324 σελίδες
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Arithmetic, Rational and Practical: Wherein the Properties of Numbers are ...

John Mair - 1772 - 376 σελίδες
...COROLLARIES. 1. Hence to an extreme and two means given, the other extreme, or fourth proportional, is found by dividing the product of the means by the given extreme. Thus to 4 : 8 : 16, the fourth proportional is 32 ; for 8 x 16z= 128, and 4)1 28(32 ; (04:8:16: 32. And...

A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - 1822 - 436 σελίδες
...COROLLARIES. 1. Hence, to an extreme and two means given, the other extreme, or fourth proportional, is found by dividing the product of the means by the given extreme. Thus to 4 : 8 : 16, the fourth proportional ia 32; for 8X16=128, and 4)128(32; so 4 : 8 : 16 : 32. And this...

A Treatise on Algebra

George Peacock - 1830 - 732 σελίδες
...—, d=—, b= — , and c= — ; due o and therefore either of the extreme terms of the proportion may be found by dividing the product of the means by the other extreme ; and either of the means may be found by dividing the product of the extremes by the...

The Teacher's Manual: Being an Exposition of an Efficient and Economical ...

Thomas H. Palmer - 1840 - 328 σελίδες
...given mean, the quotient will be- the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number : No. 1. 4:6=*:18. No. 2....

The School and the Schoolmaster: A Manual for the Use of Teachers, Employers ...

Alonzo Potter, George Barrell Emerson - 1842 - 588 σελίδες
...given mean, the quotient will be the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number : No. 1. 4: 6=0?: 18. No....

A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - 1849 - 348 σελίδες
...given, the fourth may be found. For, if the means and one extreme be given, the other extreme will be found by dividing the product of the means by the given extreme. Or, if the extremes and one mean be given, the other mean will bo found by dividing the product of...

Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851 - 332 σελίδες
...6, the other mean is 12 ; because 24 X 3 = 72; and 72 ^6= 12. ART. 246. If the means and one of ike extremes are given, the other extreme may be found...4, the other extreme is 32 ; because 16 X8=128; and 128-^-4 = 32. SIMPLE PROPORTION. ART. 247. SIMPLE PROPORTION is an expression of the equality between...

Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 σελίδες
...and 24, and the given mean 6, the other mean is 12 ; because 24 X 3 = 72; and 72 -=-6= 12. ART. 346. If the means and one of the extremes are given, the...4, the other extreme is 32 ; because 16 X8=128; and 128-4-4 = 32. SIMPLE PROPORTION. ART. 247. SIMPLE PROPORTION is an expression of the equality between...

Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - 1857 - 336 σελίδες
...24, and the given mean 6, the other mean is 12 ; because 24 X 3 = 72; and 72 -r- 6 = 12. AKT. 243. If the means and one of the extremes are given, the...given extreme 4, the other extreme is 32 ; because 16 X 8 = 128; and 128 -f-4 = 32. SIMPLE PROPORTION. ART. 244. SIMPLE PROPORTION is an expression of the...

The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1857 - 452 σελίδες
...given, the other mean may be found by dividing the product of the extremes by the given mean ; or, 2. If the means and one of the extremes are given, the...dividing the product of the means by the given extreme. SIMPLE PROPORTION. 337. Simple Proportion is an equality between two simple ratios. NOTE. — Simple...




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