...relation, expressed by this sign, is read simply, a is to 6. 387. Relation therefore is expressed by a fraction, whose numerator is the antecedent, and whose denominator is the consequent. Perspicuity requires that this fraction should be always reduced to its lowest terms ; which is done,...

...relation expressed by this sign, is read' simply, a is to b. 387. Relation therefore is expressed by a fraction, whose numerator is the antecedent, and whose denominator is the consequent. Perspicuity requires that this fraction should be always reduced to its lowest terms ; which is done,...

...the ratio of its weight to the weight of an equal volume of air But a ratio is expressed by a vulgar fraction, whose numerator is the antecedent and whose denominator is the consequent. If therefore, the weight of a body is made the numerator, and the What effect is produced by pouring...

...the ratio of its weight to the weight of an equal volume of air. But a ratio is expressed by a vulgar fraction, whose numerator is the antecedent, and whose denominator is the consequent. If, therefore, the weight of a body is made the numerator, and the weight of an equal volume of water...

...the ratio of its weight to the weight of an equal volume of air. But a ratio is expressed by a vulgar fraction, whose numerator is the antecedent, and whose denominator is the consequent. If, therefore, the weight of a body is made the numerator, and the weight of an equal volume of water...

...is called the consequent of the ratio. Hence it appears that the theory of ratios is identified with the theory of fractions, and a ratio may be considered...When the antecedent of a ratio is greater than the con5 12 sequent, the ratio is called a ratio of greater inequality ; as, ^-, — . • O -p When the...

...algebra, the theory of ratios becomes identified with the theory of fractions, and a ratio may be denned as a fraction whose numerator is the antecedent, and whose denominator is the consequent of the ratio. 124. When the antecedent of a ratio is greater than the consequent, the ratio is called...

...the ratio of its weight to the weight of an equal volume of air. But a ratio is expressed by a vulgar fraction. whose numerator is the antecedent, and whose denominator is the consequent. If, therefore, the weight of a body is made the numerator, and the weight of an equal volnme of water...

...and may be represented by writing them a : 6, or T. The first term, a, is called the antecedent of b the ratio ; the last term, b, is called the consequent...antecedent, and whose denominator is the consequent. (178.) Proportion is an equality of ratios. Thus, if we take four numbers, 3, 4, 9, 12, such that the...

...the ratio of its weight to the weight of an equal volume of air. But a ratio is expressed by a vulgar fraction, whose numerator is the antecedent. and whose denominator is the consequent. If. therefore, the weight of a body is made the numerator. and the weight of an equal volume of water...