 | Frank Castle - Mathematics - 1899 - 424 pages
...equal, the four terms are said to be in proportion, hence : Four quantities are said to be proportional, when the ratio of the first to the second is equal to the ratio of the third to the fourth. That is, when the first is the same multiple or sub-multiple of the second, which the third is of the... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...form, the proportion may be written a:b::d:c. Hence, four quantities are reciprocally proportional when the ratio of the first to the second is equal to the ratio of the fourth to the third. When the terms of each ratio of a proportion are interchanged, the four quantities... | |
 | James Morford Taylor - Algebra - 1900 - 504 pages
...greater ratio, 5:7 or 5 + 2:7 + 2? 16. Which is the greater ratio, 7:5 or 7 + 2:5 + 2? PROPORTION. 324. Four quantities are said to be in proportion when...is equal to the ratio of the third to the fourth. An equality whose members are two equal ratios is called a proportion. Thus, if a : b = с : d, (1)... | |
 | George Edward Atwood - 1900 - 276 pages
...the sign of equality or by the double colon, as follows : a:b=c:d ?=£ a:b::c:d bd 416. Four numbers are said to be in proportion when the ratio of the...to the ratio of the third to the fourth. The four numbers are called proportionals, and the fourth number is called a, fourth proportional. 417. The... | |
 | Frank Castle - Mathematics - 1900 - 184 pages
...equal, the four terms are said to be in proportion, hence : Four quantities are said to be proportional, when the ratio of the first to the second is equal to the ratio of the third to the fourth. That is, when the first is the same multiple or sub-multiple of the second, which the third is of the... | |
 | 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 of the two ratios is called a... | |
 | 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... | |
 | 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
...lib, — — 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...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 a... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...third proportional to . 1 and B. Definition 10. Three or more magnitudes are said to be in continued proportion when the ratio of the first to the second is equal to that of the second to the third, and the ratio of the second to the third is equal to that of the third... | |
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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. 
