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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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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volum 1

1801
...discontinued geometrical proportion ; for •£-= '•£ — 2, but \- = 8. Four numbers are directly proportional, when the ratio of the first to the second is the same as that of the third to die fourth. As 2 : 4 : : 3 : 6. Four numbers are said to be recipri*ally or inversely...
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 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 Tuition

Charles Hutton - 1812
...or 1* ; that of 6 to 4 is £ or £ ; 5ec. 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 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 System of Arithmetic

Samuel Webber - 1812 - 248 pàgines
...16, 8, are in discontinued geometrical proportion ; for £=y=2, but *^=8. Four numbers are directly proportional, when the ratio of the first to the second is the same, as that of the third to the fourth. As 2 : 4 : : 3 : 6. Four numbers are said to be reciprocally, or inversely...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volum 1

Charles Hutton - 1816
...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...ratio of the third to the fourth. As of the four, A (2), B (4), c (5), D < 10), where $ c= if = 3, both the same ratio. Mate. JVbte. To denote that four...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volum 10

1816
...58. Four quantities are fiid to be PROPOITIOMAL when the ratio of the firft to the fccond is the fame as the ratio of the third to the fourth. As of the four quantities AM, B (4!, C (5), D (io) ; where i = V = ^, the common ratio/ NOTE. Tii denote that four...
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Encyclopaedia Perthensis; or, Universal dictionary of Knowledge ..., Volum 10

Encyclopaedia Perthensis - 1816
...Four quantities are f lid to be PROPORTIONAL when the ratio of the firft to the fecond ia the fame as the ratio of the third to the fourth. As of the four quantities A (2), B (4', C (5), D (io); • where f = V" = i, the common ratio. NOTE. To denote that...
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A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

Charles Hutton - 1818
...the third. As of the three quantities A (2), a (4), c (8), where 4 = f = 2, both the same ratio. 79. Four quantities are said to be Proportional, when...ratio of the third to the fourth. As of the four, A (2),B (4), c (5), D (10), where | = ij' = 2, both the same ratio. JWe. To denote tbat four quantities,...
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Elements of Science and Art: Being a Familiar Introduction to ..., Volum 2

John Imison - 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 in 8 as many...
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A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - 1822 - 423 pàgines
...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 from one...
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