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Books Books 1 - 10 of 40 on Proportion, when the ratio is the same between every two adjacent terms, viz. when....
" Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio. "
A Course of Mathematics: For the Use of Academies as Well as Private Tuition - Page 320
by Charles Hutton - 1812
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Elements of Geometry: With Their Application to the Mensuration of ...

Thomas Simpson - Geometry - 1760 - 276 pages
...proporE. tional (or in continual proportion) when the firft i. 2. 4. . js to ^ feconj) as ,-he fecond to the third, as the third to the fourth, as the fourth to the fifth, and fo on. 7. In a feries, or rank of quantities continually proportional, the ratio of the firft and third,...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811
...Proportional, or in Contmued Proportion, when the ratio is the same between every two adjacent t^rms, viz. when the first is to the second, as- the second...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 t the second, of the second to the third,...
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The Elements of Algebra: Designed for the Use of Students in the University

James Wood - Algebra - 1815 - 305 pages
...PROGRESSION. (214.) Quantities are said to be in geometrical progression, or continual proportion, when the first is to the second, as the second to the third, ajid as the third to the fourth, &c. that is, when every succeeding term is a certain multiple, or...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 10

William Nicholson - Natural history - 1821
...PROGRESSION, geometrical. Quantities are said to be in geometrical progression, or continual proportion, when the first is to the second, as the second to the third, and as the third to the fourth, &c. that is, when every succeeding term is a certain multiple, or part...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822
...Proportional to the other three, taken in order. 82. Quantities are said to be Continually Proportional, or in Continued Proportion, when the ratio is the same...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...
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Elements of Science and Art: Being a Familiar Introduction to ..., Volume 2

John Imison - Art - 1822
...division 3 — 1 : 1 : : 12 — 4 : 4 and 3 — 1 : 3 : : 12 — 4> : 12. 63. Continued proportion is when the first is to the second as the second to the...the fourth ; as the fourth to the fifth ; and so on. 64. Compound ratio is formed by the multiplication of several antecedents and the several consequents...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Geometry - 1822 - 494 pages
...in order. 12. Magnitudes, are said to be continually proportional, when the first has the same ratio to the second, as the second to the third, as the third to the fourth, and so on13. The ratio of the first, of any number of magnitudes of the same kind, to the last, is...
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The Operative Mechanic, and British Machinist: Being a Practical ..., Volume 1

John Nicholson - Machinery - 1825 - 795 pages
...by division, 3 — I : 1 :: 12— 4 : 4, and 3—1 : 3 :: 12—4 : 12. 98. Continued proportion is when the first is to the second as the second to the...the fourth ; as the fourth to the fifth ; and so on. 99. Compound ratio is formed by the multiplication of several antecedents and the several consequents...
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The operative mechanic, and British machinist

John Nicholson (civil engineer.) - 1825
...then, by division, 3 — 1 : 1 :: 124 : 4, and 3—1 : 3 :: 12—4 : 12. 98. Continued proportion is when the first is to the second as the second to the...third ; as the third to the fourth ; as the fourth to dx fifth ; and so on. 99. Compound ratio is formed by the multiplication of several antecedents and...
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The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (civil engineer.) - Building - 1830 - 182 pages
...by division, 3 — 1 : 1 :: 12 — 4 : 4, and 3—1 : 3:: 12— 4: 12. 98. Continued proportion is when the first is to the second as the second to the...the fourth ; as the fourth to the fifth ; and so on. 99. Compound ratio is formed by the multiplication of several antecedents and the several consequents...
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