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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.
Elementary Course of Geometry ... - Pągina 51
per Charles William Hackley - 1847 - 103 pągines
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Elements of Geometry: With Their Application to the Mensuration of ...

Thomas Simpson - 1760 - 276 pągines
...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 - 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...common ratio. As in the; quantities 1, '2, 4, 8, 16, &c ; where the common ratio is equal to 2. 83. Of any number of quantities, A, B, c, D, the ratio of...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812
...Proportional to the other three, taken in order. 82. Quantities are said to be Continually Proportional, OF in Continued Proportion, when the ratio is the same...common ratio. As in the quantities 1, 2, 4, 8, 16, &c ; where the common ratio is equal to 2. 83. Of any number of quantities, A, B, c, D, the ratio of...
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The Elements of Algebra: Designed for the Use of Students in the University

James Wood - 1815 - 305 pągines
...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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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volum 1

Charles Hutton - 1816
...proportional quantities, the last is s.iid to be a Fourth Proportional to the other three, taken in order. 82. Quantities are said to be Continually Proportional,...common ratio. As in the quantities 1, 2, 4, 8, 16, Sec ; where the common ratio is equal to 2. 83. Of any number of quantities, A, a, c, D, the ratio...
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A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

Charles Hutton - 1818
...proportional quantities, the last is said to be a Fourth Proportional to the other three, taken in order. 82. Quantities are said to be Continually Proportional,...third, as the third to the fourth, as the fourth to the Mb, and so on, all in the same common ratio. As in the quantities J, 2, 4, 8, 16, &c. ; where the common...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volum 10

William Nicholson - 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 - 1822
...proportional quantities, the last is said to be a Fourth Proportional to the other three, taken in order. 82. Quantities are said to be Continually Proportional,...common ratio. As in the quantities 1, 2, 4, 8, 16, &c. ; where the common ratio is equal to 2. 83. Of any number of quantities, A, B, c, D, the ratio...
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Elements of Science and Art: Being a Familiar Introduction to ..., Volum 2

John Imison - 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 ...

Euclid, Rev. John Allen - 1822 - 494 pągines
...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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