 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 - Page 225by Elias Loomis - 1856 - 268 pagesFull view - About this book
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...are said to be in continued proportion. 130. 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. 131. Magnitudes are... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...mutually equiangular, and their homologous sides are proportional. 2. Magnitudes are called proportionals when the first has the same ratio to the second, that the third has to the fourth, the fifth to the sixth, etc. The first terms of the several equal ratios are... | |
 | Joseph Ray - Algebra - 1866 - 252 pages
...said to be a fourth proportional to the other three, taken in their order. 243. Three quantities are in proportion, when the first has the same ratio to the second that the second has to the third. In this case, the middle term is called a mean proportional between the other two. Thus, if we have... | |
 | Joseph Ray - Algebra - 1866 - 250 pages
...said to be a fourth proportional to the other three, taken in their order. 243. Three quantities are in proportion, when the first has the same ratio to the second that the second has to the third. In this case, the middle term is called a mean proportional between the other two. Thus, if we have... | |
 | Joseph Ray - Algebra - 1866 - 420 pages
...said to be a fourth proportional to the other three taken in their order. 266. Three quantities are in proportion when the first has the same ratio to the second, that the second has to the third. The middle term is a mean proportional between the other two. Thus, if a : b : : b : c, then 6 is a... | |
 | C. Davies - 1867 - 342 pages
...the last proportion, A and C are the antecedents, and B and D the consequents4 Three quantities are in proportion when the first has the same ratio to...mean proportional between the other two- For example, •J : 6 :: C : 12; and 6 is a mean proportional between 3 and 125 Quantities are said to be in proportion... | |
 | Charles Davies - Algebra - 1867 - 322 pages
...What are thp first and fourth terms called ? What the second and third ? 147. Three quantities are in proportion when the first has the same ratio to...be a mean proportional between the other two. For examole, 3 : 6 : : 6 : 12; and 6 is a mean proportional between 3 and 12. 148. Quantities are said... | |
 | Elias Loomis - Algebra - 1868 - 386 pages
...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 - Geometry - 1868 - 340 pages
...are said to be in continued proportion. 130. 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. 131. Magnitudes are... | |
 | Joseph Ray - Arithmetic - 1857 - 358 pages
...to 8. XIV. PROPORTION. ART. 197. Proportion is an equality of ratios. Four numbers are proportional, when the first has the same ratio to the second that 'the third has to the fourth. REVIEW. — 194. How is a ratio affected by multiplying the consequent, or... | |
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