 | Metal-work - 1901 - 548 pages
...example, the three numbers 36, 18, and 9 are in continued proportion. For, we have ff = y ; that is, the ratio of the first to the second is equal to the ratio of the second to the third. In this example, 18 is the mean proportional between 30 and 9, and 9 is the third proportional to 36... | |
 | International Correspondence Schools - Sheet-metal work - 1901 - 578 pages
...the ratio 135 quarts to 63 quarts? Ans. The ratios are equal. 1.2. When four numbers are such that the ratio of the first to the second is equal to the ratio of the third to the fourth, the four numbers are said to be proportionals; and a statement of the equality... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1901 - 168 pages
...lines. EXERCISE 95. Proportion. Four quantities are said to bo proportional, or to form a proportion, if the ratio of the first to the second is equal to the ratio of the third to the fourth. The four quantities are called the terms of the proportion ; the first and the... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...is an exact multiple of the second, the second may be taken as the common unit of measure ; and then the ratio of the first to the second is equal to the measure of the first by the second. (6) RATIO OF INCOMMENSURABLE MAGNITUDES 225. Next suppose that... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 426 pages
...т = — i Or о : a. aba 4. Proportion is an equality of ratios. 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. The equality of two ratios is indicated by the sign of equality ( = ), or by four... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...reciprocal of A : B. Definition 9. Three magnitudes 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. Thus A, B, 0 are proportionals if A : B : i B : C. B is called a mean... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...alone means geometrical proportion. 326. Four quantities are said to be proportional or in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus, given the four proportional quantities 8, 4, 12, 6; 8 : 4 = 12 : 6. In this... | |
 | George Soulé - Business mathematics - 1910 - 1042 pages
...8 are the consequents ; 3 and 8 are the extremes; and 6 and 4 are the means. 655. Three numbers are proportional, when the ratio of the first to the second...equal to the ratio of the second to the third. Thus, 4, 8, and 16 are proportional, since 4 : 8 : : 8 : 16, each ratio being £. In this kind of proportion,... | |
 | Frank Moulton Saxelby - Mathematics - 1910 - 238 pages
...accurately as your tables will allow. 92. Proportion. — Four quantities are said to be in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. Consider (he following geometrical example. Draw any straight line, OAB, through... | |
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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. 
