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" 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. "
Elementary Course of Geometry ... - Pàgina 50
per Charles William Hackley - 1847 - 103 pàgines
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 pàgines
...is J=J, and the ratio of 8 to 20 is ,^=|. 77. Proportion is an equality of ratios. Thua, 78. 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. As of the three quantities A (2), B (4), c (8), where...
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A treatise on mercantile and practical arithmetic

John Penrose (teacher of arithmetic.) - 1824 - 320 pàgines
...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, for 4 is as much greater in...
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The operative mechanic, and British machinist

John Nicholson (civil engineer.) - 1825 - 1008 pàgines
...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 in 8 as many...
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The Operative Mechanic, and British Machinist: Being a Practical ..., Volum 1

John Nicholson - 1825 - 838 pàgines
...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 u that of the second to the third. Thus, 2, 4, 8, are proportional, because 4 is contained in 8 as...
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A Course of Mathematics for the Use of Academies: As Well as ..., Volum 1

Charles Hutton - 1825 - 608 pàgines
...the third. As of the three quantities A (2), B (4), c (8), where J =£ =4, both the same ratio. 7'j. Four quantities are said to be Proportional, when the ratio of the tirst to the second, is the same as the ratio of the third to the fourth. As of the four, A (2),u(4),c...
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The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (Civil engineer) - 1830 - 240 pàgines
...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 in 8 as many...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volum 1

Charles Hutton - 1831 - 660 pàgines
...third. As of the three quantities д (2), в (4), с (8), where \ = | = £, both the same ratio. 79. Four quantities are said to be proportional, when...of the third to the fourth. As of the four, A (4), в (2), с (10), D (5), where f = у = 2, both the same ratio. Note. To denote that four quantities,...
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Mechanics' Magazine, and Journal of the Mechanics' Institute, Volum 4

1835 - 398 pàgines
...(2), A (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...of the third to the fourth. As of the four, A (4), в (2), с (10), D (5), where four halves are equal to ten fifths and 2, both the same ratio. Note...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 pàgines
...Thus, to illustrate this definition, let us take the numbers 10, 4, 15, and 6, and it will be seen that the ratio of the first to the second is the same as the ratio of the third to the fourth. For, if the first and third be multiplied by 2, and the second and fourth by 5, the multiples of the...
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The Western Practical Arithmetic: Wherein the Rules are Illustrated, and ...

1838 - 218 pàgines
...divided by the first is the same as the quotient of the fourth divided by the third, that is, so that the ratio of the first to the second is the same as the ratio of the third to the fourth, we say that these four numbers are in PROPORTION. The first and last terms are called EXTREMES ; the...
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