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

Isaac Dalby - Mathematics - 1813 - 538 pages
...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 «o on to the last. Let a, b, c, d, e, be a rank of quantities, then the...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volume 1

Charles Hutton - Mathematics - 1816 - 610 pages
...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...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...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...
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Mechanics' Magazine, and Journal of the Mechanics' Institute, Volume 4

Industrial arts - 1835 - 398 pages
...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...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 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...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 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...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...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...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 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...
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Practical English composition

Richard Hiley - 1852 - 344 pages
...principle of construction throughout. Thus, the first lesson may be regarded as a suitable introduction to the second, the second to the third, and so on to the conclusion. Too much stress cannot be laid on this important feature of instruction. Nor has the matter...
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The Life of Gen. Francis Marion: A Celebrated Partisan Officer in the ...

Mason Locke Weems, Peter Horry - Generals - 1852 - 304 pages
...distances, with fleet horses ready saddled and bridled, to bear the intelligence with equal speed, the first to the second, the second to the third, and so on. In this expeditious method, as by a telegraph, Marion was presently notified of the designs of the...
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