 | Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...Ans. 82m. 2fur. 20rd 7mA PROPORTION. 332, A PROPORTION is an equality of ratios. Any four numbers are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios 9 : 3 and 6 : 2, being equal to each... | |
 | James B. Dodd - Arithmetic - 1859 - 368 pages
...price of flour ? PROPORTION. (141.) PROPORTION consists in an equality of ratios. Four quantities are in proportion when the ratio of the first to the second...is equal to the ratio of the third to the fourth. Thus the numbers 6, 3, 8, 4 are in proportion, since — » —IThe first and third terms are the antecedents,... | |
 | James B. Dodd - Algebra - 1859 - 368 pages
...three taken in order ; thus 4 is a fourth proportional to 6, 3, and 8. (138.) Three quantities are in Proportion when the ratio of the first to the second is equal to the ratio of the second to the third, — the second term being called a mean proportional between the other two. Thus... | |
 | John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...couplet is called the antecedent, and the second term the consequent . (379.) Three quantities are in proportion when the ratio of the first to the second is equal to the ratio of the second to the third. (38O.) The second quantity is called a mean proportional between the other two,... | |
 | Charles Davies, William Guy Peck - Mathematics - 1859 - 622 pages
...the ini'asure of proportion is ratio. Four quantities are in proportion when the ratio of the lir.st to the second is equal to the ratio of the third to the fourth ; this relation is expressed algebraically thus, a. : b : : с : d. This expression is called a proportion... | |
 | Charles Davies - Algebra - 1860 - 412 pages
...a and b undergo changes of value, then a is said to be proportional to b. 183t Four quantities are in proportion, when the ratio of the first to the...is equal to the ratio of the third to the fourth. Thus, if b_ d_ "7 ~ T' the quantities a, b, c and d, are said to be in propoition. We generally express... | |
 | Mathematics - 1874 - 240 pages
...in the fact that Euclid's complicated definition of proportion can be replaced by "Four magnitudes are said to be in proportion when the ratio of the first to the second is the same as the ratio of the third to the fourth." We believe that this syllabus, as a treatment of... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...and C : D is AC AX C BX D' OT B~X~D' 125. A PROPORTION is an equality of ratios. Four magnitudes are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios of A : B and X : Y, being equal to A... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...B and C : D is AC AXC BX D'°r BXD' 125. A PROPORTION is an equality of ratios. Four magnitudes are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios" of A : B and X : Y, being equal to AY... | |
 | Henry G C. Smith - 1863 - 200 pages
...called the Antecedent, and the second, 8, the Consequent. Pour numbers are said to be Proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. On examining the four numbers, 14, 8, 35, 20, we find V = i5, or 14 : 8 = 85 : 20, and say 14 is to... | |
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Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. 
