...express the proportions of the new-built ships, as the less those of the old ones. RATIO, in mathematics, is the relation which one quantity bears to another...magnitude, the comparison being made by considering how often one contains, or is contained by, the oilier. Thus, in comparing 6 with 3, we observe that...

...express the proportions of the new-built ships, as the less those of the old ones. RATIO, in mathematics, is the relation which one quantity bears to another in respect of magnitude, die comparison being made by considering how often one contain*, or is contained by, the oilier. Thus,...

...express the proportions of the new-built ships, as the less those of the old ones. RATIO, in mathematics, is the relation which one. quantity bears to another...in respect of magnitude, the comparison being made J>y considering how often one contains, or is contained by, the other. Thus, in comparing 6 u-ith 3,...

...express the proportions of the new-built ships, as the less those of the old ones. RATIO, in mathematics, is the relation which one quantity bears to another in respect of magnitude, the comparison heing made by considering how often one contains, or is contained by, the other. Thus, in comparing...

...incommensurable, as are also, 2, \/3, A/5, y'T. DEFINITION III. 1J6. According to Dr. Wood (see Alg. p. 91) " Ratio is the relation which one quantity bears to...what multiple, part or parts, one is of the other ;" in what does this differ from Euclid's definition. This definition is much the superior; first,...

...lOar* 5x+l. Ans. x+1. 4. Required the fourth root of XT — 4xy^+6x^y^ 14 ir Ans. x~? — y$ RATIOS. RATIO is the relation which one quantity bears to...by considering what multiple, part, or parts, one quantity is of the other. The first quantity being called the antecedent, and the latter the consequent....

...; which method is, indeed, agreeable to the definition of ratio, as given in Wood's "Algebra," viz. "The comparison being made by considering what multiple part, or parts, one quantity is of the other." Consequently, if a is contained four times in c, and 221 ¿ only twice iu...

...ratch, or wheel, having similar teeth to the foregoing, and employed for a similar purpose. RATIO. The relation which one quantity bears to another, in respect of magnitude or quantity ; the comparison being made by considering how often one of the quantities contains, or...

...VARIATION. RATIO. 162. DBF. RATIO is the relation which subsists between two quantities of the same kind, the comparison being made by considering what multiple, part or parts, one of them is of the other : or, it is the arithmetical value of one of them, when the other is regarded...

...this lessened density. RATIO ; the relation which subsists between two quantities of the same kind, the comparison being made by considering what multiple part or parts one of them is of the other. RAY ; a beam of light propagated from a radiant point. REACTION ; the reciprocation...