 | Benjamin Peirce - Algebra - 1837 - 302 pages
...called the mean proportional between the extremes. Mean Proportional. Continued Proportion. Thus, when A : B = B : C, B is a mean proportional between A and C. m 66. If the test is applied to the preceding proportion it gives B2 = AXC; whence B = \fA XC; that... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...2 a 6 + 62 ; find the first. Ans. 2 (a — 6.) Mean Proportional. Continued Proportion.. Thus, when A : B = B : C, B is a mean proportional between A and C. 66. If the test is applied to the preceding proportion it gives B2 = AXC; whence B = \/AXC; that is,... | |
 | Benjamin Peirce - Algebra - 1855 - 308 pages
...called the mean proportional between the extremes. Mean Proportional. Continued Proportion. Thus, when A : B = B : C, B is a mean proportional between A and C. 91. If the test is applied to the preceding proportion it gives B*=AxC; whence _—_— B == ^ A x... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...are its first and third terms. 9. The Consequents of a proportion are its second and fourth terms. Iu expressing the equality of ratios in the form of a...12. Two magnitudes are reciprocally, or inversely proportional when, in undergoing changes in value, one is multiplied and the other is divided by the... | |
 | Charles Davies - Algebra - 1860 - 412 pages
...same, either of these is said to be a mean proportional between the other two. Thus, in the proportion a : b : : b : c, b is a mean proportional between a and c, and c is said to be a third proportional to a and b. 185. Two quantities are reciprocally proportional... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...the magnitudes by the same number. Thus, the products, Am and Bm, are equimultiples of A and B. U. A Mean Proportional between two magnitudes is a magnitude...: : B : C, B is a mean proportional between A and (7. 12. Two magnitudes are reciprocally, or inversely proportional when, in undergoing changes in value,... | |
 | Paul Allen Towne - Algebra - 1865 - 314 pages
...the last term is a third proportional to the first term and one of the means. 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 b. l. A continued proportion is one in which several ratios... | |
 | Benjamin Greenleaf - 1867 - 336 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. 810. A CONTINUED PROPORTION is one in -which each consequent is the same as the next antecedent. Thus,... | |
 | Charles Davies - Algebra - 1871 - 404 pages
...same, either of these is said to be a mean proportional between the other two. Thus, in the proportion a : b : : b : c, b is a mean proportional between a and c, and c is said to h« a third proportional to a and b. 185. Two quantities are reciprocal] y proportional... | |
 | Adrien Marie Legendre - Geometry - 1871 - 490 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 (7, and C is a third proportional to A and B. 5. Quantities are in proportion by alternation, when... | |
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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. 
