 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...the proportion, and the last is said to be a third proportional to the other two. Thus, if we have, A : B : : B : C, B is a mean proportional between A and C, and C is a third proportional to A and B. 5. Quantities are in proportion by alternation, when antecedent... | |
 | William Guy Peck - Conic sections - 1876 - 376 pages
...three different terms, and the last is a third proportional to the other two; thus in the proportion a : b :: b : c, b is a mean proportional between a and c, and c is a third proportional to a and 5. 70. Equimultiples of two quantities are the results obtained... | |
 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...two quantities is either of the two means, when they are the same quantity. Thus, in the proportion a : b : : b : c, b is a mean proportional between a and c. 313. A CONTINUED PROPORTION is one in which each consequent is the same as the next antecedent. Thus,... | |
 | Webster Wells - Algebra - 1880 - 498 pages
...proportion whose first, second, and third terms are the three quantities taken in their order. Thus, in a : b = b : c, b is a mean proportional between a and c ; and c is a third proportional to a and b. In a : b = c : d, d. is a, fourth proportional to a, b,... | |
 | James Mackean - 1881 - 510 pages
...term is the same as the third, it is said to be a mean proportional between the other two ; thus in a : b :: b : c, b is a mean proportional between a and a, and с is spoken of as a third proportional to a and b. 201. When in a number of equal ratios the... | |
 | George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...the proportion a : b : : b : c ; c is a Third Proportional to a and b. 253. DEF. In the proportion a : b : : b : c; b is a Mean Proportional between a and c. 254. DBF. Four quantities are Reciprocally Proportional when the first is to the second as the reciprocal... | |
 | George Albert Wentworth - Geometry - 1885 - 424 pages
...In the proportion a : b : : b : c; c is a Third Proportional to a and 6. 253. DBF. In the proportion a : b : :b : c; b is a Mean Proportional between a and c. 254. DBF. Four quantities are Reciprocally Proportional when the first is to the second as the reciprocal... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...the proportion, and the last is said to be a third proportional to the two others. Thus, if we have, A : B : : B : C, B is a mean proportional between A and C, and C is a third proportional to A and B. 5. Quantities are in proportion by alternation, when antecedent... | |
 | Webster Wells - Algebra - 1885 - 382 pages
...proportion whose first three terms are the three quantities taken in their order. Thus, in the proportion a : b = b : c, b is a mean proportional between a and c, and с is a third proportional to a and b. In the proportion a : b = с ; d, d is a fourth proportional... | |
 | Webster Wells - Algebra - 1890 - 604 pages
...proportion whose first three terms are the three quantities taken in their order. Thus, in the proportion a : b = b : c, b is a mean proportional between a and c, and с is a third proportional to a and b. In the proportion a:b=c:d, d is a fourth proportional to... | |
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A fourth proportional to three quantities is the fourth term of a proportion, whose first three terms are the three quantities taken in their order. Thus, in the proportion a : b = c : d, d is a fourth proportional to a, b, and c. 
