 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...in proportion, when the first has the same ratio to the second, that the second ha-s to the third ; and then the middle term is 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... | |
 | Algebra - 1838 - 372 pages
...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. 172. Quantities are said to be in proportion fay inversion, or inversely, when the consequents are... | |
 | Charles Davies - Algebra - 1842 - 368 pages
...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. 172. Quantities are said to be in proportion by inversion, or t'nversely, when the consequents are... | |
 | 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... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...said to be continual proportionals. 9. When three magnitudes are continual proportionals, the second is said to be a mean proportional between the other two. For example, if A, B, C, D, be four magnitudes of the same kind, the first A is said to have to the last D, the... | |
 | Charles Davies - Algebra - 1845 - 382 pages
...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. 172. Quantities are said to be in proportion by inversion, or inversely, when the consequents are made... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...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...12; and 6 is a mean proportional between 3 and 12. P 1 48. Quantities are said to be in proportion by inversion, or inversely, when the consequents are... | |
 | George Roberts Perkins - Algebra - 1848 - 234 pages
...constitute a geometrical proportion, the product of the extremes will equal the square of the mean. (138.) 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... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...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. 5. Magnitudes are said to be in proportion by inversion, or inversely, when the consequents are taken... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...the second to the third; thus, if A, B, and C are in proportion, then A : B : : B : C. In this case the middle term is said to be a mean proportional between the other two. Def. 4. Two magnitudes are said to be equimultiples of two others, when they contain those others the... | |
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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. 
