| 1801 - 446 σελίδες
...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 proportional,... | |
| C T. Watkins - 1810 - 1056 σελίδες
...antecedent. Ь5. Three ma«ni;udes or quantities, Л. B,C,are said to be proportional, wnen the ratio ot the first to the second is the same as that of the second to the third. Thu», ?, 4., 8. зге proportiunal ; because Л is contained in b li many times as 2 is IP 4. bo.... | |
| Charles Hutton - 1811 - 406 σελίδες
...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),... | |
| Samuel Webber - 1812 - 260 σελίδες
...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 proportional,... | |
| Charles Hutton - 1812 - 620 σελίδες
...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... | |
| Charles Hutton - 1816 - 610 σελίδες
...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 $ c= if =... | |
| Beriah Stevens - 1822 - 436 σελίδες
...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 another, as... | |
| Charles Hutton - 1822 - 616 σελίδες
...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... | |
| John Penrose (teacher of arithmetic.) - 1824 - 320 σελίδες
...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... | |
| John Nicholson (civil engineer.) - 1825 - 1008 σελίδες
...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...because 4 is contained in 8 as many times as 2 is in 4. 90. Four quantities, A, B, < ', D, are said to be proportional, when the ratio of the first, A, to... | |
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