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" Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. "
Elements of Geometry and Conic Sections - Σελίδα 37
των Elias Loomis - 1858 - 234 σελίδες
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...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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...third. As of the three quantities A (2), B (4), c (8), where .J ;= | = 2, 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 cf the third to the fourth. As of the four, A (2), B (4), c (5), D (10), where...

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...three quantities A (2), a (4), c (8), where £ = { = 2, both the same tatio. 79. Four quantities arc 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), D < 10), where...

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...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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...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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...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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...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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...(i is f =1, and the ratio of ii to 20 is35 =f . 77. Proportion is an equality of ratios. Thus, 78. Three quantities are said to be Proportional, when the ratio of the first to the second, is equ;»t 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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...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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...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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