...The four numbers which form a proportion are called the terms of the proportion ; the first and last are called the extremes, and the second and third are called the middle terms, or the means. Now examine all the proportions that you have formed, or can form, and...

...number 8 is also called an antecedent, and the number 10, with which it is compared, a consequent. The first and fourth terms are called the extremes ; and the second and third terms, the means. Let a, b, c, and d, denote four quantities in arithmetical proportion ; and d the...

...the ratio: the first is called the ANTECEDENT, and the second the CONSEQUENT. In any series of four proportionals, the first and fourth terms are called the EXTREMES, and the second and third the MEANS. The product of the Means, equals the product of the Extremes. Thus in either series above,...

...antecedents, and B, D, F, the consequents. (55) 56 GEOMETKY . If four magnitudes are in proportion, the first and fourth terms are called the extremes, and the second and third the means. In this case the last term is .called & fourth proportional to the three others. If the...

...proporiional to one another, and are ealled proportionals. The first and fonrth of snch qnantities are called the extremes, and the second and third are called the means. 326 Proportion is therefore the eqnality of two ratios. 327. As the ratio of 2 to 4 is eqnal to the...

...of 3 that 4 is of G. 2 is f of 3, and 4 is j{ of 6. 367. The first and fourth terms of a proportion are called the extremes, and the second and third are called the means. The first ratio : ; called the first couplet, and the second ratio the second couplet. Read the following...

...of 3 that 4 is of C. 2 is f of 3, and 4 и § of 6. 367. The first and fourth terms of a proportion are called the extremes, and the second and third are called the means. The first ratio is called the first couplet, and the second ratio the second couplet. Read the following...

...read 3 is to Y as 6 is to 14. 3 1 0. Every proportion consists of four terms ; the first and fourth are called the extremes, and the second and third are called the means. The first and third are called the antecedents, the second and fourth are called the consequents. ;i...

...antecedent and the denominator, its consequent. Of the four numbers which constitute a proportion, the first and fourth terms are called the extremes, and the second and third, the means, that is, the first antecedent and second consequent are the extremes ; the first consequent...

...and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are called the extremes, and the second and third the means. 197. When three quantities are in proportion, eg a : b = b : c, the second is called a mean...