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" Four quantities are said to be proportional when the ratio of the first to the second is the same as the ratio of the third to the fourth. "
Elementary Course of Geometry ... - Pàgina 50
per Charles William Hackley - 1847 - 103 pàgines
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An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - 1850 - 364 pàgines
...between 12 feet and 3 pounds ? Con the ratio be s denominate number .' How are four quantities related when the ratio of the first to the second is the same as the ratio of the third to the fourth f Which are called estremes ? Which are called means ? To what is the product of the extremes eqiiall...
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The Speedy Calculator: Being a System of Arithmetic

Benjamin Naylor - 1850 - 334 pàgines
...65 to 85 it is f |j=i$. Proportion is equality of ratio. Four numbers are said to be proportionals when the ratio of the first to the second is the same as the ratio of the third to the fourth ; hence, 17, 13, 85, 65, are proportionals. The first and fourth are called the extreme terms, and...
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - 1850 - 412 pàgines
...cloth is the 2d term, $2 is the 3d term, $12 is the - - - 4th term. Now the ratio of the first term to the second is the same as the ratio of the third to the fourth. This relation between four numbers is called a proportion ; and generally Four numbers are said to...
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Grammar of Arithmetic, Or, An Analysis of the Language of Figures and ...

Charles Davies - 1850 - 148 pàgines
...compared by their ratio, the term, " A geometrical proportion/' is applied to four numbers, in which the ratio of the first to the second is the same as that of the third to the fourth. Thus, 2 : 4 :: 6 : 12, is a geometrical proportion, of which the ratio...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1850 - 356 pàgines
...is f . The ratio of 3i hours to 7| hours, is 3i-^7^ = i§. When there are four quantities, of which the ratio of the first to the second is the same as that of the third to the fourth, these four quantities are said to be in proportion. Thus, 4, 6, 8,...
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The Logic and Utility of Mathematics: With the Best Methods of Instruction ...

Charles Davies - 1850 - 400 pàgines
...geometrical cnl proper- .„ . i- ir i. • LL uon de«ned, proportion, is applied to tour numbers, in which the ratio of the first to the second is the same as that of the third to the fourth. Thus, Example. 2 : 4 : : 6 : 12, is a geometrical proportion, of which...
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An Elementary and Practical Arithmetic

James B. Dodd - 1850 - 276 pàgines
...firfl of two quantities to the second, is the quotient of the first divided by the second. The inverse ratio of the first to the second, is the same as the direct ratio of the second to the first. For example, the direct ratio of 6 to 3 is §=2 ; the inverse...
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An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - 1851 - 356 pàgines
...between 12 feet and 3 pounds '.' Can the ratio be a denominate number ? How are four quantities related when the ratio of the first to the second is the same as the ratio of the third to the fourth? Which are called extremes ? Which are called means 7 To what is the product of the extremes equal 7...
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Rudimentary Treatise on Arithmetic

John Radford Young - 1852 - 230 pàgines
...quantities are said to be in proportion, or to form a proportion, you are merely to understand, that the ratio of the first to the second is the same as the ratio of the third to the fourth ; in other words, that if you were to divide the first by the second, you would get the same complete...
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High School Arithemtic: Containing the Elementary and the Higher Principles ...

James B. Dodd - 1852 - 410 pàgines
...first of two quantities to the second, is the quotient of the first divided by the second. The inverse ratio of the first to the second, is the same as the direct ratio of the second to thejirst. For example, the direct ratio of 6 to 3 is |=2 ; the inverse...
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