...terms of a ratio must each represent units of the same kind. PRIN. II. — Multiplying both terms of a ratio by the same number does not change the value of the ratio. PRIK. III. — Dividing both terms of a ratio by the same number does not change the value of the ratio....

...the antwfdcnt or multiplying the consequent divides the ratio. 3. Multiplying or dividing both terms by the same number does not change the value of , the ratio. 476. These general principles may be .formulated into one General Law, as follows: Any change in the...

...by any number divides the ratio by that number. 3. Multiplying or dividing antecedent and consequent by the same number does not change the value of the ratio. 238. Since a ratio is the quotient of an antecedent by its consequent, it follows that (a). The antecedent...

...6: 3 is 2.) J5J. — Propositions Relating to Ratio. Prop. XLIV. Multiplying or dividing both terms by the same number does not change the value of the ratio. (Let us express the ratio of 6 : 3 in fractional form, as follows: ';. This makes of the couplet a...

...lower terms, added, subtracted, etc. Hence. PRINCIPLES. — 1. Multiplying or dividing both terms of a ratio by the same number does not change the value of the ratio. 2. Multiplying the antecedent or dividing the consequent of a ratio by any number multiplies the ratio...

...two incommensurable quantities is an irrational number. 294. Multiplying or dividing both terms of a ratio by the same number does not change the value of the ratio. (§ 111.) PROPORTION 295. A proportion is ¡in equation whose members are ratios. Thus, о : 6 = с...

...the antecedent or multiplying the consequent divides the ratio. 3. Multiplying or dividing both terms by the same number does not change the value of the ratio. 645. These general principles may be formulated into one General Law, as follows : Any change in the...

...lower terms, added, subtracted, etc. Hence, PRINCIPLES. — 1. Multiplying or dividing both terms of a ratio by the same number does not change the value of the ratio. 2. Multiplying the antecedent or dividing the consequent of a ratio by any number multiplies the ratio...

...units in the consequent. 403. From Section 89 it follows that : Multiplying or dividing both terms of a ratio by the same number does not change the value of the ratio. 404. A ratio is in its simplest form when its terms are prime to each other. Exercise 134 1. Find the...

...be regarded as a fraction, the following principle is true : Multiplying or dividing both terms of a ratio by the same number does not change the value of the ratio. (See arts. 64 and 87.) Thus, 3 : 6 = 6 : 12, just as | = j%. Also, 3:6 = 1:2, just as f = ^. ORAL EXERCISES...