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" Art. 338, that in a proportion, either extreme is equal to the product of the means, divided by the other extreme ; and either of the means is equal to the product of the extremes, divided by the other mean. "
An Elementary Algebra - Σελίδα 194
των Daniel Barnard Hagar - 1873 - 263 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

A New and Complete Dictionary of Arts and Sciences: Comprehending ..., Τόμος 2

1763 - 1246 σελίδες
...produft of the extremes to be equal to tint of the means ; or, any one of the extremes may be made equal to the product of the means divided by the other extreme s thus, if 11 — fc>— 1 141 i, then [ t equation be multiplied or divided by e lamequamity, it may...

Mathematics: Compiled from the Best Authors, and Intended to be the ..., Τόμος 1

Samuel Webber - 1808 - 466 σελίδες
...square of the mean. Hence it is easily seen, that either extreme of four geometrical propoitiouals is equal to the product of the means divided by the other extreme ; and that either mean is equal to the product of the extremes divided by the other mean. SIMPLE PROPORTION,...

A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - 1812 - 260 σελίδες
...square of the mean. Hence it is easily seen, that either extreme of four geometrical proportionals is equal to the product of the means divided by the. other extreme ; and that either mean 'is equal to the product of the extremes divided by the other mean. * DEMONSTRATION....

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1814 - 304 σελίδες
...be squared. If a:b::b:c. then mult, extremes and means, ac=b2. 377. It follows from art. 374, that in a proportion, either extreme is equal to the product of the means, divided by ihe other fxtrcme ; and either of the means is equal to the, product of the extremes, divided by the...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 σελίδες
...product. If a : a; : : a; : c, then xs =ac, and x = Vac. (Art. 297.) 377. It follows, from art. 374, that in a proportion, either extreme is equal to the product...the means, divided by the other extreme ; and either of the means is equal to the product of the extremes, divided by the other mean. 1 . If a : b : : c...

Scientific Amusements in Philosophy and Mathematics: Including Arithmetic ...

William Enfield (M.A.) - 1821 - 302 σελίδες
...three of which are known, may be easily found ; for if the required term be an extreme, it will be equal to the product of the means divided by the other extreme ; and if it be a mean, it will be equal to the product of the extremes divided by the other mean. if 2 :...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 σελίδες
...product. If o J *: '.x : c, then x3=ac, and x=\/^. (Art. 297.) 377. It follows, from art. 374, that in a proportion, either extreme is equal to the product of the means, divided by the otaer extreme ; and either of the means is equal to the product of the extremes, divided by the other...

An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the ...

James Ryan - 1827 - 290 σελίδες
...to the product of the means. This immediately follows from what has been last demonstrated : since either extreme is equal to the product of the means divided by the other extreme ; for instance, 5 : 7 : : 10 : 14. But we have seen that 14 is equal to the quotient arising from dividing...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1832 - 354 σελίδες
...c, then x'=ac, and x= \/ac. (Art. 297.) 377. It follows, from Art. 374, that hi a proportion, cither extreme is equal to the product of the means, divided by the other extreme ; and either of the means is equal to the product of the extremes, divided by the other mean. 1. If a : 6 : : c...

A New Introduction to the Science of Algebra ...

Silas Totten - 1836 - 332 σελίδες
...if three terms be given, the fourth can always be found ; for, if it be one of the extremes, it is equal to the product of the means divided by the other extreme. If the unknown term be a mean, it is equal to the product of the extremes divided by the other mean....




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