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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. "
A treatise on mercantile and practical arithmetic - Page 140
by John Penrose (teacher of arithmetic.) - 1824 - 300 pages
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...unequal, a ratio of Inequality. 76. Proportion is an equality of ratios. Thus, 77. Three quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the second to the third. As of the three quantities, A = 2, B = 4, C = 8, where...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...between four numbers is called proportion ; and generally, Four numbers are said to be in proportion when the ratio of the first to the second is the same as that of the third to the fourth. Hence, 181. How do you determine what part one number is of another?...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...between four numbers is called proportion ; and generally, Four numbers are said to be in proportion when the ratio of the first to the second is the same as that of the third to the fourth. Hence, 181. How do you determine what part one number is of another?...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...antecedent must be greater than its consequent; if equal, equal; and if less, less. Def. 3. Three quantities are said to be proportional, when the ratio of the first to the second is equal to the ratio of the second to the third; thus, if A, B, and C are in proportion, then A : B :...
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An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - Arithmetic - 1849 - 346 pages
...between 12 feet and 3 pounds ? Can the ratio be a denominate number 1 How are four quantities related when the ratio of the first to the second is the same as the rntio of tbe third to the fourth .' Which are called extremes ? Which are culled means t To what is...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1849 - 356 pages
...days, is f . The ratio of 3| hours to 1\ hours, is 3i-^7i=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 Speedy Calculator: Being a System of Arithmetic

Benjamin Naylor - 1850 - 334 pages
...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...
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An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - Arithmetic - 1850 - 364 pages
...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...
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The Logic and Utility of Mathematics: With the Best Methods of Instruction ...

Charles Davies - Logic - 1850 - 400 pages
...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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Grammar of Arithmetic, Or, An Analysis of the Language of Figures and ...

Charles Davies - Arithmetic - 1850 - 148 pages
...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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