| 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 - 570 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
...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 - 456 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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