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D, is said to be Compounded of the ratios of the first to the second, of the second to the third, and so on to the last.
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Page 127
by Rev. John Allen - 1822 - 494 pages

A Course of Mathematics: Designed for the Use of the Officers and ..., Volume 2

Isaac Dalby - Mathematics - 1813
...proportions. 97. In any rank of quantities of the same kind, the ratio of the first to the last is compounded of the ratios of the first to the second, the second to the third, the third to the fourth, and Ťo on to the last. Let a, b, c, d, e, be a rank of quantities, then the...

A Course of Mathematics in Two Volumes for the Use of Academies ..., Volume 1

Charles Hutton - Mathematics - 1816
...equal to 2. 83. Of any number of quantities, A, a, c, D, the ratio of the first, A, to the last D, is said to be Compounded of the ratios of the first to the second, of ihe second to the third) end so on to the last. 84. Inverse ratio Is, when the antecedent is made...

A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822
...equal to 2. 83. Of any number of quantities, A, B, c, D, the ratio of the first, A, to the last D, is said to be Compounded of the ratios of the first to the second, of the second to the third, and so on to the last. 84. Inverse ratio is, when the antecedent is made...

Mechanics' Magazine, and Journal of the Mechanics' Institute, Volume 4

Industrial arts - 1835
...equal to 2. 8. Of any number of quantities, А, в, с, D, the ratio of the first, A, to the last, D, is said to be Compounded of the ratios of the first to the second, of the second to the third, and so on to the last. 9. Inverse ratio is when the antecedent is made...

Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 496 pages
...(in which case they all necessarily have some ratio to each other), the first has to the last a ratio compounded of the ratios of the first to the second, the second to the third, and so on throxigh the whole of the series ; and inversely, that the last has to the first a ratio compounded...

Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 496 pages
...(in which case they all necessarily have some ratio to each other), the first has to the last a ratio compounded of the ratios of the first to the second, the second to the third, and so on through the whole of the series ; and inversely, that the last has to the first a ratio compounded...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...between the two extreme terms. XVI. In any number of magnitudes of the same kind, the ratio of the first to the last is said to be compounded of the ratios of the first to the second, of the second to the third, of the third to the fourth, and so on to the last magnitude. XVII. If three...

Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 103 pages
...is equal to 2. 82. Of any number of quantities, A, B, C, D, the ratio of the first A, to the last D, is said to be compounded of the ratios of the first to the second, of the second to the third, and so on to the last. 83. Inverse ratio is, where the antecedent is made...