 | Benjamin Greenleaf - 1873 - 202 σελίδες
...compounded of A : B and C : D is .= X j^, 94. A Proportion is an equality of ratios. Four magnitudes are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios of A : B and X : Y, being equal to each... | |
 | Daniel W. Fish - 1874 - 302 σελίδες
...the consequents; 8 and 5 are the extremes, 4 and 10 are the means. Three numbers are proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. Thus the numbers 4, 10, and 25 are proportional, since 4 : 10 = 10 : 25, the ratio... | |
 | Daniel W. Fish - 1874 - 540 σελίδες
...the consequents ; 8 and 5 are the extremes, 4 and 10 are the means. Three numbers are proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. Thus the numbers 4, 10, and 25 are proportional, since 4 : 10 = 10 : 25 the ratio... | |
 | Benjamin Greenleaf - 1874 - 206 σελίδες
...compounded- of A : B and C : D is -= X ^, 94. A Proportion is an equality of ratios. Four magnitudes are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios of A : B and X : Y, being equal to each... | |
 | Charles Davies - 1875 - 490 σελίδες
...亡 Ⅰ ・ 夕 @ @ ら @ ・ 七 obepⅠoportl０Ⅱ れ Ⅰ 士 06 ・ Ihus @ の ㏄ る ・ 182. Four quantities are in proportion when the ratio of...is equal to the ratio of the third to the fourth. Thus, if み ぱ 一 一 一 一 ' のり ・ theuaHt" q ・ n @ e8 の ， & ， c ， andd ， ares... | |
 | Richard Wormell - 1876 - 268 σελίδες
...the ratio A to B. 61. Proportion is the equality of ratios. In other words, four magnitudes form a proportion when the ratio of the first to the second...is equal to the ratio of the third to the fourth. Since the two members of any equality can be interchanged, it follows from this definition that if... | |
 | Association for the improvement of geometrical teaching - 1876 - 66 σελίδες
...consequents B, Q. DEF. 7. Three magnitudes (A, B, C) of the same kind are said to be proportionals, when the ratio of the first to the second is equal to that of the second to the third : that is when A : B :: B : C. In this case C is said to be the third... | |
 | William Frothingham Bradbury - 1877 - 302 σελίδες
...to b, or a divided by b. 105. PROPORTION is an equality of ratios. Pour quantities are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. The equality of two ratios is indicated by the sign of equality (=) or by four dots (::). Thus, d :... | |
 | James Hamblin Smith, Thomas Kirkland - 1877 - 376 σελίδες
...number required = 3X9, .'. number required = ^T = 5|.. 219. Three numbers are said to be in OtwrnroED PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus 3, 6, 12 are continued proportion, for f = A. The second number is called... | |
 | Elias Loomis - 1877 - 458 σελίδες
...consequent ; if equal, equal ; and if less, less. 1 2. 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 ; thus, if A, B, and.C are in proportion, then A:B::B:C, or, A:B=B:C. In this case... | |
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Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. 
