 Three quantities are in proportion when the first has the same ratio to the second, that the second has to the third ; and then the middle term is said to be a mean proportional between the other two.  The Elements of Algebra - Σελίδα 225των Elias Loomis - 1856 - 268 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Charles Davies - 1870 - 392 σελίδες
...last proportion, A and С are the antecedents, and В and D the consequents. 4. Three quantities are in proportion when the first has the same ratio to...term is said to be a mean proportional between the two other. For example, 3 : 6 :: 6 : 12; and 6 is a mean proportional between 3 and 12. 5. Quantities... | |
 | Elias Loomis - 1873 - 396 σελίδες
...antecedent, and the fourth term the second consequent. 294. When the first of a series of quantities has the same ratio to the second that the second has to the third, or the third to the fourth, and so on, these quantities are said to be in continued proportion, and... | |
 | Benjamin Greenleaf - 1873 - 202 σελίδες
...are said to be in continued proportion. 99. When a continued proportion consists of but three terms, the middle term is said to be a mean proportional between the other two; and the last term is said to be the third proportional to the first and second. Thus, when A, B, and... | |
 | Charles Davies - 1873 - 322 σελίδες
...what are the first and third called ? What the second and fourth ? third; and then the middle terra is said to be a mean proportional between the other two. For example, .. • . 3 : 6 : : 6 : 12; ... and 6 is a mean proportional between 3 and 12. 189. Four quantities... | |
 | Benjamin Greenleaf - 1874 - 206 σελίδες
...are said to be in continued proportion. 99. When a continued proportion consists of but three terms, the middle term is said to be a mean proportional between the other two; and the last term is said to be the third proportional to the first and second. Thus, when A, B, and... | |
 | Elias Loomis - 1877 - 458 σελίδες
...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 the middle term is said to be a mean proportional between the other two, and C is called a third proportional to A and B. 13. Equimultiples of two magnitudes are the products... | |
 | Euclides - 1884 - 434 σελίδες
...greater than the multiple of the fourth, equal to it, or less. 6. Magnitudes are said to be proportionals when the first has the same ratio to the second that the third has to the fourth; and the third to the fourth the same ratio which the fifth has to the sixth... | |
 | Horatio Nelson Robinson - 1888 - 372 σελίδες
...proportion since 3 : 9 : : 9 : 27, the ratio of each couplet being 3. In such a proportion the second term is said to be a mean proportional between the other two. 386. In every proportion the product of the extremes is equal to the product of the means. Thus, in... | |
 | Charles Davies - 1891 - 306 σελίδες
...last proportion, A and C are the antecedents, and B and D the consequents. 188. Three quantities are in proportion when the first has the same ratio to...is said to be a mean proportional between the other quantities. For example, 3:6::6:12; and 6 is a mean proportional between 3 and 12. 189. Four quantities... | |
 | Horatio Nelson Robinson - 1892 - 428 σελίδες
...proportion since 3 : 9 : : 9 : 27, the ratio of each couplet being \. In such a proportion the second term is said to be a mean proportional between the other two. 386. In every proportion the product of the extremes is equal to the product of the means. Tims, in... | |
| |
