 | Mathematics - 1801 - 446 pages
...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... | |
 | Charles Hutton - Mathematics - 1811 - 406 pages
...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),... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...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... | |
 | Samuel Webber - Arithmetic - 1812 - 260 pages
...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... | |
 | Charles Hutton - Mathematics - 1816 - 610 pages
...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... | |
 | Encyclopedias and dictionaries - 1816 - 764 pages
...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... | |
 | Encyclopaedia Perthensis - 1816 - 772 pages
...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... | |
 | Charles Hutton - Arithmetic - 1818 - 646 pages
...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,... | |
 | John Imison - Art - 1822 - 488 pages
...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... | |
 | Beriah Stevens - Arithmetic - 1822 - 436 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 from one... | |
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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. 
