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" Three quantities are said to be proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. "
A Course of Mathematics: For the Use of Academies, as Well as Private ... - Page 318
by Charles Hutton - 1831
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - Mathematics - 1811
...third. As of the three quantities A (2), B (4), c (8), where -*- = -f = 2, both the same ratio. 19. Four quantities are said to be Proportional, when the ratio of the first to die second, is the same as the ratio of the third to the fourth. As of the four, A (2), B (4), c (5),...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 618 pages
...third. As of the three quantities A (2), B (4), c (8), where f =f =5, both the same ratio. 79. Four quantities are said to be Proportional, when the ratio of the first to the second, is the same as the ratio of the third to the fourth. As of the four, A (2), B (4), c (5), p (10), where...
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Elements of Science and Art: Being a Familiar Introduction to ..., Volume 2

John Imison - Art - 1822
...is obtained by dividing the consequent by the antecedent. 54. Three magnitudes or quantities, A,B,C, are said to be proportional, when the ratio of the first to the second is the same as that of the second to the third. Thus, 2, 4, 8, are proportional, because 4> is contained...
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A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - Arithmetic - 1822 - 423 pages
...arising from the division of the wntecedent 1, by the consequent 2, viz. i. Four numbers are siiid to be proportional when the ratio of the first to the second is the same as that of the tliii'd to the fourth ; and the proportional numbers are usually distinguished...
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A treatise on mercantile and practical arithmetic

John Penrose (teacher of arithmetic.) - Arithmetic - 1824 - 322 pages
...the same or equal to the ratio of 9 to 12. Proportion consists of three terms at least. Three numbers are said to be proportional, when the ratio of the first to the second, is the same as- the ratio of the second to the fourth; as 2, 4,8, where -}==2, both the same ratio,...
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The operative mechanic, and British machinist

John Nicholson (civil engineer.) - Great Britain - 1825 - 795 pages
...obtained by dividing the consequent by the antecedent. 89. Three magnitudes or quantities, A, 11, (.', are said to be proportional, when the ratio of the first to the second is the same as that of the second to the third. Thus, 2, 4, 8, are proportional, because 4 is contained...
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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - Geometry - 1829 - 218 pages
...f = 1 ; that is, the ratio of 2 to 6 is equal to one third. 77. When four magnitudes are such that the ratio of the first to the second, is equal to the ratio of the third to the fourth, these four magnitudes are said to be in proportion. Proportion is equality of...
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The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (Civil engineer) - Building - 1830 - 238 pages
...obtained by dividing the consequent by the antecedent. 89. Three magnitudes or quantities, A, B, C, are said to be proportional, when the ratio of the first to the second is the same as that of the second to the third. Thus, 2, 4, 8, are proportional, because 4 is contained...
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - Arithmetic - 1831 - 396 pages
...Thus, 3 : 5, denotes the ratio of 3 to 5. Four quantities are said to be in geometrical proportion, when the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus, the four numbers 8, 4, 14, 7, are proportional, because the ratio 8 : 4...
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Mechanics' Magazine, and Journal of the Mechanics' Institute, Volume 4

1835 - 398 pages
...(4), с (8), where two fourths are equal to four eighths, and one half, both the same ratio. 4. Four quantities are said to be proportional, when the ratio of the first to the second is the same as the ratio of the third to the fourth. As of the four, A (4), в (2), с (10), D (5), where...
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