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" F) a ratio compounded of the ratios which the first has to the second, the second to the third, the third to the fourth (A to D, D to C, and C to F) ; and so on to the last. "
The First Six Books of the Elements of Euclid: With Notes - Page 92
by Euclid - 1833 - 183 pages
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Memoirs of the Literary and Philosophical Society of Manchester

Natural history - 1813 - 524 pages
...other, in this respect, in the following order; it being understood that the first gives up electricity to the second; the second to the third; the third to the fourth; and so on : Silver, Copper, Iron, Tin, Lead, Zinc. It is to this transference of electricity, that...
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A Journal of Natural Philosophy, Chemistry and the Arts, Volume 35

William Nicholson - Science - 1813 - 344 pages
...other, in this respect, in the following order ; it being understood that the first gives up electricity to the second ; the second to the third; the third to the fourth ; and so on : Silver, Copper, Iron, Tin, Lead, Zinc. His theory It is to this transference of electricity,...
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Memoirs of the Manchester Literary and Philosophical Society

Manchester Literary and Philosophical Society - Science - 1813 - 550 pages
...other, in this respect, in the following order; it being understood that the first gives up electricity to the second ; the second to the third; the third to the fourth ; and so on : Silver, Copper, Iron, Tin, Lead, Zinc. It is to this transference of electricity, that...
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A Course of Mathematics: Designed for the Use of the Officers and ..., Volume 2

Isaac Dalby - Mathematics - 1813 - 538 pages
...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 fractions denoting the...
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The Elements of Experimental Chemistry, Volume 1

William Henry - Chemistry - 1819 - 440 pages
...arrange the powers in the following order, it being understood that the first gives up its electricity to the second ; the second to the third ; the third to the fourth, and so on. Silver. Copper. Iron. Tin. Lead. Zinc. The metals, then, have been denominated by Volta,...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 pages
...second (i, e. of the ratio of A : B). kind (A, D, C, F) the first is said to have to the last (A : F) a ratio compounded of the ratios which the first...the second to the third, the third to the fourth (A : D and D : C and C : F) and so on to the last. Note. By die duplicate ratio of A to B is meant the...
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Antiquities of the Jews ... Compiled from Authentic Sources: And ..., Volume 1

William Brown - Jews - 1823 - 650 pages
...to the first booth. These delivered him over to the persons in that booth, who, in their turn, went to the second ; the second to the third ; the third to the fourth, and so on (the company at each booth always asking him if he would eat or drink) till he came to the...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...subduplicaie ratio of that which it has to C, the subtriplicate ratio of that which it has to D, and so on. 12. If there be any number of magnitudes of the same kind, А, В, С, t), the first A is said to have to the last D a ratio which is compounded of the ratios...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...subduplicate ratio of that which it has to C, the subtriplicate ratio of that which it has to D, and so on. 12. If there be any number of magnitudes of the same kind, A, B, C, D, the first A is said to have to the last D a ratio which is compounded of the ratios of A to...
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The Doctrine of Proportion Clearly Developed: On a Comprehensive, Original ...

Oliver Byrne - Mathematics - 1841 - 144 pages
...series, r has no right whatever to the term ratio ; and, in the second, the ratio of the first term to the second, the second to the third, the third to the fourth, is expressed by f , and not by r. J Magnitudes are said to have a ratio to one another, when they are...
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