 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...proportional to the other three taken in order. 4. Three quantities are in proportion, when the first has the same ratio to the second, that the second ha-s...said to be a mean proportional between the other two. 5. Magnitudes arc said to be in proportion by inversion, or inversely, when the consequents are taken... | |
 | Adrien Marie Legendre - Geometry - 1837 - 376 pages
...third ; and then the middle term is said to be a mean proportional between the other two. 5. Magnitudes are said to be in proportion by inversion, or inversely, when the consequents are taken as antecedents, and the antecedents as consequents. 6. Magnitudes are in proportion by alternations'!... | |
 | Algebra - 1838 - 372 pages
...proportional to the other three taken in order. 171. Three quantities are in proportion when the first has the same ratio to the second that the second has to...two. 172. Quantities are said to be in proportion fay inversion, or inversely, when the consequents are made the antecedents and the antecedents the... | |
 | Charles Davies - Algebra - 1839 - 264 pages
...called ? What the second and fourth ? • 1 47 . Three quantities are in proportion when the first has the same ratio to the second that the second has to...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. 148. Quantities are said... | |
 | Charles Davies - Algebra - 1839 - 272 pages
...called 1 What the second and fourth 1 1 47 . Three quantities are in proportion when the first has the same ratio to the second that the second has to the tliird ; and then the middle term is said to be a mean proportional between the other two. For example,... | |
 | Charles Davies - Algebra - 1842 - 368 pages
...proportional to the other three taken in order. 171. Three quantities are in proportion when the first has the same ratio to the second that the second has to...Quantities are said to be in proportion by inversion, or t'nversely, when the consequents are made the antecedents and the antecedents the consequents. 173.... | |
 | Charles Davies - Algebra - 1842 - 284 pages
...called ? What the second and fourth * 1 47 . Three quantities are in proportion when the first has the same ratio to the second that the second has to...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. 148. Quantities are said... | |
 | George Roberts Perkins - Algebra - 1842 - 370 pages
...constitute a geometrical proportion, the product of the extremes will equal the square of the mean. (172.) Quantities are said to be in proportion by inversion, or inversely, when the consequents are taken as antecedents, and the antecedents as consequents. From (5), or its equivalent (4), which is... | |
 | Nathan Scholfield - 1845 - 894 pages
...those magnitudes are in continued proportion ; and are written A : B::B : C::C : D, &c. 12. Magnitudes are said to be in proportion by inversion, or inversely, when the consequents are taken as antecedents, aud the antecedents as consequents. 13. Magnitudes are in proportion by alternation,... | |
 | Charles Davies - Algebra - 1848 - 300 pages
...third called ' What the second and fourth ? 147. Three quantities are in proportion when the first has the same ratio to the second that the second has to...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. 1 48. Quantities are... | |
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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. 
